4t ESO/4.04 EQUACIONS/4.04.3 Sistemes/4.04.3.1 Sistemes: reducció 4.04.3.1.10 TEORIA: REDUCCIÓ TAULA
Reducció

Si tenim un sistema lineal «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mn mathvariant=¨bold¨ mathcolor=¨#FF0000¨»4«/mn»«mi mathvariant=¨bold-italic¨»x«/mi»«mo mathvariant=¨bold¨»-«/mo»«mn mathvariant=¨bold¨»10«/mn»«mi mathvariant=¨bold-italic¨»y«/mi»«mo mathvariant=¨bold¨»=«/mo»«mn mathvariant=¨bold¨»6«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathvariant=¨bold¨ mathcolor=¨#FF0000¨»6«/mn»«mi mathvariant=¨bold-italic¨»x«/mi»«mo mathvariant=¨bold¨»+«/mo»«mn mathvariant=¨bold¨»5«/mn»«mi mathvariant=¨bold-italic¨»y«/mi»«mo mathvariant=¨bold¨»=«/mo»«mn mathvariant=¨bold¨»29«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

Per eliminar x, calculem el mcm de 4 i 6 = 12 per igualar els coeficients. Multipliquem la 1a per 12:4=3 i la 2a per 12:6=2:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»12«/mn»«mi mathvariant=¨bold¨»x«/mi»«mo mathvariant=¨bold¨»-«/mo»«mn mathvariant=¨bold¨»30«/mn»«mi mathvariant=¨bold¨»y«/mi»«mo mathvariant=¨bold¨»=«/mo»«mn mathvariant=¨bold¨»18«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»12«/mn»«mi mathvariant=¨bold¨»x«/mi»«mo mathvariant=¨bold¨»+«/mo»«mn mathvariant=¨bold¨»10«/mn»«mi mathvariant=¨bold¨»y«/mi»«mo mathvariant=¨bold¨»=«/mo»«mn mathvariant=¨bold¨»58«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«/math»

Com que els coeficients igualats (12 i 12) tenen el mateix signe RESTEM la 2a de la 1a i ens queda: -40y = -40, o sigui y = 1. Ara eliminem la y per trobar la x, o substituïm.

Solució: (4,1) 

Quan els coeficients, un cop igualats, tenen signe oposat, SUMEM les equacions.
]]> 0.0000000 0.0000000 0 4.04.3.1.10_1 TEORIA REDUCCIÓ VÍDEO  

]]> 0.0000000 0.0000000 0 4.04.3.1.11Q AprendreReduccióSistema CD Determina, per reducció, les solucions del sistema d'equacions següent

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»


Format de la resposta: enter o fracció simplificada: -21 o -13/17

 

]]> 1.0000000 0.3333333 0 0 x=#s1y=#s2]]> <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a11</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>19</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a12</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>19</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>19</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a21</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>19</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>19</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>19</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>A1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>A2</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd><mtd><mi>a1</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd><mtd><mi>a2</mi></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>w3</mi><mo>=</mo><mi>mcd</mi><mo>(</mo><mi>a11</mi><mo>,</mo><mi>a21</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>w4</mi><mo>=</mo><mi>mcd</mi><mo>(</mo><mi>a12</mi><mo>,</mo><mi>a22</mi><mo>)</mo></mtd></mtr></mtable><mrow><mfenced><mrow><mi>rang</mi><mo>(</mo><mi>A1</mi><mo>)</mo><mo>=</mo><mn>2</mn></mrow></mfenced><mo>∧</mo><mo>(</mo><mfenced close="|" open="|"><mi>a11</mi></mfenced><mo>&lt;</mo><mfenced close="|" open="|"><mi>a21</mi></mfenced><mo>)</mo><mo>∧</mo><mfenced><mrow><mfenced close="|" open="|"><mi>a12</mi></mfenced><mo>&lt;</mo><mfenced close="|" open="|"><mi>a22</mi></mfenced></mrow></mfenced><mo>∧</mo><mo>(</mo><mi>w3</mi><mo>≠</mo><mn>1</mn><mo>)</mo><mo>∧</mo><mo>(</mo><mi>w4</mi><mo>≠</mo><mn>1</mn><mo>)</mo></mrow></apply></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a1</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a2</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mfrac><mfenced close="|" 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xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>w1</mi><mo>=</mo><mi>mcm</mi><mo>(</mo><mi>a11</mi><mo>,</mo><mi>a21</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>w2</mi><mo>=</mo><mi>mcm</mi><mo>(</mo><mi>a12</mi><mo>,</mo><mi>a22</mi><mo>)</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a11</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m11</mi><mo>=</mo><mfenced close="|" open="|"><mi>a11</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a21</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m21</mi><mo>=</mo><mfenced close="|" 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open="|"><mi>a12</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m12</mi><mo>=</mo><mfenced close="|" open="|"><mi>a12</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi><mo>=</mo><mfrac><mi>w2</mi><mfenced close="|" open="|"><mi>a22</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m22</mi><mo>=</mo><mfenced close="|" open="|"><mi>a22</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>g1</mi><mo>*</mo><mi>e1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e32</mi><mo>=</mo><mi>g2</mi><mo>*</mo><mi>e2</mi></math></input></command><command><input><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>,</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>9</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>16</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>53</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>41</mn><mn>4</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Per eliminar x, el mcm de #a11 i #a21 és #w1.

Així doncs, multipliquem

  • la 1a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»11«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8201;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»21«/mn»«/math»
  • la 2a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»21«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»22«/mn»«/math»

i com que #b1 i #b2 tenen signe #z1,  #z2 per eliminar x.

 

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 Per eliminar y, el mcm de #a12 i #a22 és #w2.

Així doncs, multipliquem

  • la 1a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»12«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»g«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8201;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»31«/mn»«/math»
  • la 2a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»22«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»g«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»32«/mn»«/math»

i com que #c1 i #c2 tenen signe #v1,  #v2 per eliminar y.

 

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 4.04.3.1.12Q AprendreReduccióSistema CD_2 Determina, per reducció, les solucions del sistema d'equacions següent

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»


Format de la resposta: enter o fracció simplificada: -21 o -13/17

 

]]> 1.0000000 0.3333333 0 0 x=#s1y=#s2]]> <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><apply><csymbol 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open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a1</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a2</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>a11</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a12</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>a1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>a21</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a22</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>a2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>w1</mi><mo>=</mo><mi>mcm</mi><mo>(</mo><mi>a11</mi><mo>,</mo><mi>a21</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>w2</mi><mo>=</mo><mi>mcm</mi><mo>(</mo><mi>a12</mi><mo>,</mo><mi>a22</mi><mo>)</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a11</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m11</mi><mo>=</mo><mfenced close="|" open="|"><mi>a11</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a21</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m21</mi><mo>=</mo><mfenced close="|" open="|"><mi>a21</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>e1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>e2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>a11</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>a21</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a11</mi><mo>*</mo><mi>a21</mi><mo>&gt;</mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>z1</mi><mo>=</mo><mo>&quot;</mo><mi>igual</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>z2</mi><mo>=</mo><mo>&quot;</mo><mi>restem</mi><mo> </mo><mi>la</mi><mo> </mo><mn>2</mn><mi>a</mi><mo> </mo><mi>de</mi><mo> </mo><mi>la</mi><mo> </mo><mn>1</mn><mi>a</mi><mo>&quot;</mo></mtd></mtr></mtable><mtable><mtr><mtd><mi>z1</mi><mo>=</mo><mo>&quot;</mo><mi>diferent</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>z2</mi><mo>=</mo><mo>&quot;</mo><mi>les</mi><mo> </mo><mi>sumem</mi><mo>&quot;</mo></mtd></mtr></mtable></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi><mo>=</mo><mfrac><mi>w2</mi><mfenced close="|" open="|"><mi>a12</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m12</mi><mo>=</mo><mfenced close="|" open="|"><mi>a12</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi><mo>=</mo><mfrac><mi>w2</mi><mfenced close="|" open="|"><mi>a22</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m22</mi><mo>=</mo><mfenced close="|" open="|"><mi>a22</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>g1</mi><mo>*</mo><mi>e1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e32</mi><mo>=</mo><mi>g2</mi><mo>*</mo><mi>e2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><mi>g1</mi><mo>*</mo><mi>a12</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi><mo>=</mo><mi>g2</mi><mo>*</mo><mi>a22</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a12</mi><mo>*</mo><mi>a22</mi><mo>&gt;</mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>v1</mi><mo>=</mo><mo>&quot;</mo><mi>igual</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>v2</mi><mo>=</mo><mo>&quot;</mo><mi>restem</mi><mo> </mo><mi>la</mi><mo> </mo><mn>2</mn><mi>a</mi><mo> </mo><mi>de</mi><mo> </mo><mi>la</mi><mo> </mo><mn>1</mn><mi>a</mi><mo>&quot;</mo></mtd></mtr></mtable><mtable><mtr><mtd><mi>v1</mi><mo>=</mo><mo>&quot;</mo><mi>diferent</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>v2</mi><mo>=</mo><mo>&quot;</mo><mi>les</mi><mo> </mo><mi>sumem</mi><mo>&quot;</mo></mtd></mtr></mtable></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>12</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>9</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>16</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>w1</mi><mo>,</mo><mi>w2</mi><mo>,</mo><mi>w3</mi><mo>,</mo><mi>w4</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><mo>,</mo><mn>16</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>f1</mi><mo>,</mo><mi>f2</mi><mo>,</mo><mi>g1</mi><mo>,</mo><mi>g2</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>,</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>9</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>16</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>53</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>41</mn><mn>4</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Per eliminar x, el mcm de #a11 i #a21 és #w1.

Així doncs, multipliquem

  • la 1a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»11«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8201;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»21«/mn»«/math»
  • la 2a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»21«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»22«/mn»«/math»

i com que #b1 i #b2 tenen signe #z1,  #z2 per eliminar x.

 

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 Per eliminar y, el mcm de #a12 i #a22 és #w2.

Així doncs, multipliquem

  • la 1a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»12«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»g«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8201;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»31«/mn»«/math»
  • la 2a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»22«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»g«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»32«/mn»«/math»

i com que #c1 i #c2 tenen signe #v1,  #v2 per eliminar y.

 

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 4.04.3.1.21Q Reducció sistema ALEATORI Determineu, per reducció, les solucions del sistema d'equacions següent

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Format de la resposta: Si el sistema és 

  • compatible determinat: solució (enter o fracció simplificada: -21 o -13/17)
  • compatible indeterminat, poseu d minúscula en els dos llocs.
  • incompatible, poseu c minúscula en els dos llocs.
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definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a11</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a12</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a21</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>A1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>A2</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd><mtd><mi>a1</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd><mtd><mi>a2</mi></mtd></mtr></mtable></mfenced></mtd></mtr></mtable><mrow><mfenced><mrow><mi>rang</mi><mo>(</mo><mi>A1</mi><mo>)</mo><mo>=</mo><mn>2</mn></mrow></mfenced><mo>∧</mo><mo>(</mo><mi>a11</mi><mo>&lt;</mo><mi>a21</mi><mo>)</mo></mrow></apply></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a1</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a2</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a1</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a2</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr></mtable><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>k1</mi><mo>=</mo><mn>2</mn></mrow><mtable><mtr><mtd><mi>a11</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a12</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>m</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a21</mi><mo>=</mo><mi>m</mi><mo>*</mo><mi>a11</mi></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>m</mi><mo>*</mo><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>m</mi><mo>*</mo><mi>a1</mi></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><mi>d</mi></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mi>d</mi></mtd></mtr><mtr><mtd/></mtr></mtable><mtable><mtr><mtd><mi>a11</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a12</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a21</mi><mo>=</mo><mi>n</mi><mo>*</mo><mi>a11</mi></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>n</mi><mo>*</mo><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mo>(</mo><mi>n</mi><mo>+</mo><mn>2</mn><mo>)</mo><mo>*</mo><mi>a1</mi></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><mi>c</mi></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mi>c</mi></mtd></mtr></mtable></apply></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>a11</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a12</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>a1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>a21</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a22</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>a2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w1</mi><mo>=</mo><mi>mcm</mi><mo>(</mo><mi>a11</mi><mo>,</mo><mi>a21</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a11</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a21</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>e1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>e2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>a11</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>a21</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a11</mi><mo>*</mo><mi>a21</mi><mo>&gt;</mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>z1</mi><mo>=</mo><mo>&quot;</mo><mi>igual</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>z2</mi><mo>=</mo><mo>&quot;</mo><mi>restem</mi><mo>&nbsp;</mo><mi>la</mi><mo>&nbsp;</mo><mn>2</mn><mi>a</mi><mo>&nbsp;</mo><mi>de</mi><mo>&nbsp;</mo><mi>la</mi><mo>&nbsp;</mo><mn>1</mn><mi>a</mi><mo>&quot;</mo></mtd></mtr></mtable><mtable><mtr><mtd><mi>z1</mi><mo>=</mo><mo>&quot;</mo><mi>diferent</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>z2</mi><mo>=</mo><mo>&quot;</mo><mi>les</mi><mo>&nbsp;</mo><mi>sumem</mi><mo>&quot;</mo></mtd></mtr></mtable></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>=</mo><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>f1</mi><mo>,</mo><mi>f2</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo>,</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>18</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Per eliminar x, el mcm de #a11 i #a21 és #w1.

Així doncs, multipliquem

  • la 1a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8201;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»21«/mn»«/math»
  • la 2a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»22«/mn»«/math»

i com que #b1 i #b2 tenen signe #z1,  #z2 per eliminar x.

Es fa el mateix per eliminar y.

 

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 Si trobem solució, el sistema és compatible determinat.

Si surt 0x+0y=0, el sistema és compatible indeterminat.

Si surt 0x+0y=No-zero el sistema és incompatible.

]]> 4.04.3.1.22Q Reducció sistema ALEATORI_2 Determineu, per reducció, les solucions del sistema d'equacions següent

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»


Format de la resposta: Si el sistema és 

  • compatible determinat: solució (enter o fracció simplificada: -21 o -13/17)
  • compatible indeterminat, poseu d minúscula en els dos llocs.
  • incompatible, poseu c minúscula en els dos llocs.
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definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a11</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a12</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a21</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>A1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>A2</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd><mtd><mi>a1</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd><mtd><mi>a2</mi></mtd></mtr></mtable></mfenced></mtd></mtr></mtable><mrow><mfenced><mrow><mi>rang</mi><mo>(</mo><mi>A1</mi><mo>)</mo><mo>=</mo><mn>2</mn></mrow></mfenced><mo>∧</mo><mo>(</mo><mi>a11</mi><mo>&lt;</mo><mi>a21</mi><mo>)</mo></mrow></apply></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a1</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a2</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a1</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a2</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr></mtable><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>k1</mi><mo>=</mo><mn>2</mn></mrow><mtable><mtr><mtd><mi>a11</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a12</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>m</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a21</mi><mo>=</mo><mi>m</mi><mo>*</mo><mi>a11</mi></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>m</mi><mo>*</mo><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>m</mi><mo>*</mo><mi>a1</mi></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><mi>d</mi></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mi>d</mi></mtd></mtr><mtr><mtd/></mtr></mtable><mtable><mtr><mtd><mi>a11</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a12</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a21</mi><mo>=</mo><mi>n</mi><mo>*</mo><mi>a11</mi></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>n</mi><mo>*</mo><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mo>(</mo><mi>n</mi><mo>+</mo><mn>2</mn><mo>)</mo><mo>*</mo><mi>a1</mi></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><mi>c</mi></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mi>c</mi></mtd></mtr></mtable></apply></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>a11</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a12</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>a1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>a21</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a22</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>a2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w1</mi><mo>=</mo><mi>mcm</mi><mo>(</mo><mi>a11</mi><mo>,</mo><mi>a21</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a11</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a21</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>e1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>e2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>a11</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>a21</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a11</mi><mo>*</mo><mi>a21</mi><mo>&gt;</mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>z1</mi><mo>=</mo><mo>&quot;</mo><mi>igual</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>z2</mi><mo>=</mo><mo>&quot;</mo><mi>restem</mi><mo>&nbsp;</mo><mi>la</mi><mo>&nbsp;</mo><mn>2</mn><mi>a</mi><mo>&nbsp;</mo><mi>de</mi><mo>&nbsp;</mo><mi>la</mi><mo>&nbsp;</mo><mn>1</mn><mi>a</mi><mo>&quot;</mo></mtd></mtr></mtable><mtable><mtr><mtd><mi>z1</mi><mo>=</mo><mo>&quot;</mo><mi>diferent</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>z2</mi><mo>=</mo><mo>&quot;</mo><mi>les</mi><mo>&nbsp;</mo><mi>sumem</mi><mo>&quot;</mo></mtd></mtr></mtable></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>=</mo><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>f1</mi><mo>,</mo><mi>f2</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo>,</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>18</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Per eliminar x, el mcm de #a11 i #a21 és #w1.

Així doncs, multipliquem

  • la 1a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8201;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»21«/mn»«/math»
  • la 2a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»22«/mn»«/math»

i com que #b1 i #b2 tenen signe #z1,  #z2 per eliminar x.

Es fa el mateix per eliminar y.

 

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Si trobem solució, el sistema és compatible determinat.

Si surt 0x+0y=0, el sistema és compatible indeterminat.

Si surt 0x+0y=No-zero el sistema és incompatible.

]]> 4.04.3.1.61 SistLinealQualsev TriaResposta Considera el sistema d'equacions«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced close="" open="{"»«mtable»«mtr»«mtd»«mi»#e_01«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#e_02«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»
Quin tipus de sistema és? Quina/es solució/ns té?

Atenció: hi ha més d'una resposta vàlida
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open=&quot;[&quot;&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;106&lt;/mn&gt;&lt;mn&gt;49&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;76&lt;/mn&gt;&lt;mn&gt;49&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_31&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;ms&gt;és&lt;/ms&gt;&lt;mo&gt; &lt;/mo&gt;&lt;ms&gt;compatible&lt;/ms&gt;&lt;mo&gt; &lt;/mo&gt;&lt;ms&gt;determinat&lt;/ms&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_32&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;ms&gt;Cap&lt;/ms&gt;&lt;mo&gt; &lt;/mo&gt;&lt;ms&gt;solució&lt;/ms&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;/group&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/session&gt;</wirisCasSession></question> 4.04.3.1.62 SistLinealQualsev TriaResposta_2 Considera el sistema d'equacions«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨¨ open=¨{¨»«mtable»«mtr»«mtd»«mi»#e_01«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#e_02«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»
Quin tipus de sistema és? Quina/es solució/ns té?

Atenció: hi ha més d'una resposta vàlida

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Igualació

Si les equacions són del tipus: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mi mathvariant=¨bold¨»y«/mi»«mo mathvariant=¨bold¨»=«/mo»«mn mathvariant=¨bold¨»5«/mn»«mi mathvariant=¨bold¨»x«/mi»«mo mathvariant=¨bold¨»-«/mo»«mn mathvariant=¨bold¨»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi mathvariant=¨bold¨»y«/mi»«mo mathvariant=¨bold¨»=«/mo»«mn mathvariant=¨bold¨»2«/mn»«mi mathvariant=¨bold¨»x«/mi»«mo mathvariant=¨bold¨»+«/mo»«mn mathvariant=¨bold¨»5«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

Igualem: 5x - 4 = 2x + 5 i resolem: x = 3.
Si substituïm x per 3  en qualsevol de les dues, y = 11.

Solució: (3,11) 
]]> 0.0000000 0.0000000 0 4.04.3.2.11Q Igualació y=mx+n Calculeu per igualació, les solucions del sistema: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#0000FF¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e_«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e_«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

Forma de la resposta:  enter o fracció SIMPLIFICADA 





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align="center"><mtr><mtd><mi>y</mi><mo>=</mo><mi>m_1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_1</mi></mtd></mtr><mtr><mtd><mi>y</mi><mo>=</mo><mi>m_2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_2</mi></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><msub><mi>R</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><msub><mi>R</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></mtd></mtr></mtable><mrow><mfenced><mrow><mi>m_1</mi><mo>≠</mo><mi>m_2</mi></mrow></mfenced><mo>∧</mo><mfenced><mrow><mi>n_1</mi><mo>≠</mo><mi>n_2</mi></mrow></mfenced></mrow></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e_1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>-</mo><mn>6</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>7</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e_2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mn>5</mn><mn>3</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mn>3</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>5</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="inputField">popupEditor</data><data name="casSession"/></localData></question> N'hi ha prou amb escriure:

#f_1 = #f_2
i aïllar la x.
Un cop s'ha trobat la x, es substitueix en qualsevol de les dues equacions per determinar el valor de y.
NO SIMPLIFICAR LA FRACCIÓ ES COMPTA COM INCORRECTE.
]]> 4.04.3.2.12Q Igualació y=mx+n_2 Calculeu per igualació, les solucions del sistema: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#0000FF¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e_«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e_«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

Forma de la resposta:  enter o fracció SIMPLIFICADA 





]]> 1.0000000 0.5000000 0 0 x=#s1y=#s2]]> <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>m_1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>9</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>m_2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>9</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>n_1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>9</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>n_2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>9</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>e_1</mi><mo>=</mo><mi>y</mi><mo>=</mo><mi>m_1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_1</mi></mtd></mtr><mtr><mtd><mi>e_2</mi><mo>=</mo><mi>y</mi><mo>=</mo><mi>m_2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_2</mi></mtd></mtr><mtr><mtd><mi>f_1</mi><mo>=</mo><mi>m_1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_1</mi></mtd></mtr><mtr><mtd><mi>f_2</mi><mo>=</mo><mi>m_2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_2</mi></mtd></mtr><mtr><mtd><mi>R</mi><mo>=</mo><mi>resol</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>y</mi><mo>=</mo><mi>m_1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_1</mi></mtd></mtr><mtr><mtd><mi>y</mi><mo>=</mo><mi>m_2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_2</mi></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><msub><mi>R</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><msub><mi>R</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></mtd></mtr></mtable><mrow><mfenced><mrow><mi>m_1</mi><mo>≠</mo><mi>m_2</mi></mrow></mfenced><mo>∧</mo><mfenced><mrow><mi>n_1</mi><mo>≠</mo><mi>n_2</mi></mrow></mfenced></mrow></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e_1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>7</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>7</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e_2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>9</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mn>11</mn><mn>2</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mo>-</mo><mfrac><mn>91</mn><mn>2</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>11</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>91</mn><mn>2</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">50 50</data><data name="inputField">popupEditor</data><data name="casSession"/></localData></question> N'hi ha prou amb escriure:

#f_1 = #f_2
i aïllar la x.
Un cop s'ha trobat la x, es substitueix en qualsevol de les dues equacions per determinar el valor de y.
NO SIMPLIFICAR LA FRACCIÓ ES COMPTA COM INCORRECTE.
]]> 4.04.3.2.50 TEORIA: SUBSTITUCIÓ
Substitució

Si un dels coeficients és 1: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mi mathvariant=¨bold¨»x«/mi»«mo mathvariant=¨bold¨»-«/mo»«mn mathvariant=¨bold¨»5«/mn»«mi mathvariant=¨bold¨»y«/mi»«mo mathvariant=¨bold¨»=«/mo»«mn mathvariant=¨bold¨»9«/mn»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«mo mathvariant=¨bold¨»§#160;«/mo»«/mtd»«/mtr»«mtr»«mtd»«mn mathvariant=¨bold¨»3«/mn»«mi mathvariant=¨bold¨»x«/mi»«mo mathvariant=¨bold¨»+«/mo»«mn mathvariant=¨bold¨»2«/mn»«mi mathvariant=¨bold¨»y«/mi»«mo mathvariant=¨bold¨»=«/mo»«mo mathvariant=¨bold¨»-«/mo»«mn mathvariant=¨bold¨»7«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»
aïllem x en la primera equació: x = 5y + 9
el substituïm en la segona: 3(5y+9) + 2y = -7
resolem: 17y + 27 = - 7 <=> y = -2
i substituint y per -2 en qualsevol de les dues: x = -1.

Solució: (-1,-2)
]]> 0.0000000 0.0000000 0 4.04.3.2.51Q Substitució 2x2 CD Calculeu per substitució, les solucions del sistema:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#0000FF¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»


Format de la resposta:  nombre enter o fracció SIMPLIFICADA



]]> 1.0000000 0.3333333 0 0 x=#s1y=#s2]]> <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>m_1</mi><mo>=</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>m_2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>9</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>m_1</mi><mo>=</mo><mn>1</mn></mrow><mtable><mtr><mtd><mi>n_1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>9</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>w</mi><mo>=</mo><mo>&quot;</mo><mi>x</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>v</mi><mo>=</mo><mo>&quot;</mo><mi>y</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>e5</mi><mo>=</mo><mi>x</mi><mo>=</mo><mo>-</mo><mi>n_1</mi><mo>*</mo><mi>y</mi><mo>+</mo><mi>p_1</mi></mtd></mtr><mtr><mtd><mi>e6</mi><mo>=</mo><mo>-</mo><mi>n_1</mi><mo>*</mo><mi>y</mi><mo>+</mo><mi>p_1</mi></mtd></mtr><mtr><mtd><mi>e7</mi><mo>=</mo><mi>m_2</mi><mo>*</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>e6</mi></mtd></mtr></mtable></mfenced><mo>+</mo><mi>n_2</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>p_2</mi></mtd></mtr></mtable><mtable><mtr><mtd><mi>n_1</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>w</mi><mo>=</mo><mo>&quot;</mo><mi>y</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>v</mi><mo>=</mo><mo>&quot;</mo><mi>x</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>e5</mi><mo>=</mo><mi>y</mi><mo>=</mo><mo>-</mo><mi>m_1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>p_2</mi></mtd></mtr><mtr><mtd><mi>e6</mi><mo>=</mo><mo>-</mo><mi>m_1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>p_2</mi></mtd></mtr><mtr><mtd><mi>e7</mi><mo>=</mo><mi>m_2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_2</mi><mo>*</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>e6</mi></mtd></mtr></mtable></mfenced><mo>=</mo><mi>p_2</mi></mtd></mtr></mtable></apply></mtd></mtr><mtr><mtd><mi>n_2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p_1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>9</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>p_2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>9</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>e1</mi><mo>=</mo><mi>m_1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_1</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>p_1</mi></mtd></mtr><mtr><mtd><mi>e2</mi><mo>=</mo><mi>m_2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_2</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>p_2</mi></mtd></mtr><mtr><mtd><mi>R</mi><mo>=</mo><mi>resol</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>m_1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_1</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>p_1</mi></mtd></mtr><mtr><mtd><mi>m_2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_2</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>p_2</mi></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>D</mi><mo>=</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mi>m_1</mi></mtd><mtd><mi>n_1</mi></mtd></mtr><mtr><mtd><mi>m_2</mi></mtd><mtd><mi>n_2</mi></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><msub><mi>R</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><msub><mi>R</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></mtd></mtr></mtable><mrow><mi>D</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mn>6</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>3</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>20</mn><mn>7</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mfrac><mn>38</mn><mn>21</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>20</mn><mn>7</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>38</mn><mn>21</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><ms>x</ms></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e5</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mn>6</mn><mo>*</mo><mi>y</mi><mo>-</mo><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e6</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo>*</mo><mi>y</mi><mo>-</mo><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e7</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn><mo>*</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>6</mn><mo>*</mo><mi>y</mi><mo>-</mo><mn>8</mn></mtd></mtr></mtable></mfenced><mo>+</mo><mn>3</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>6</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Com que el coeficient de #w és 1 en la primera equació, aïllem #w: #e5
i substituïm #w per #e6 en la segona equació per aïllar #v:
#e7
  
UNA FRACCIÓ NO SIMPLIFICADA ÉS INCORRECTA
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 Un cop calculat #v, es fa servir l'equació #e5 per calcular #w.

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 4.04.3.2.52Q Substitució 2x2 CD_2 Calculeu per substitució, les solucions del sistema:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#0000FF¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»


Format de la resposta:  nombre enter o fracció SIMPLIFICADA



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definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>m_1</mi><mo>=</mo><mn>1</mn></mrow><mtable><mtr><mtd><mi>n_1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>9</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>w</mi><mo>=</mo><mo>&quot;</mo><mi>x</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>v</mi><mo>=</mo><mo>&quot;</mo><mi>y</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>e5</mi><mo>=</mo><mi>x</mi><mo>=</mo><mo>-</mo><mi>n_1</mi><mo>*</mo><mi>y</mi><mo>+</mo><mi>p_1</mi></mtd></mtr><mtr><mtd><mi>e6</mi><mo>=</mo><mo>-</mo><mi>n_1</mi><mo>*</mo><mi>y</mi><mo>+</mo><mi>p_1</mi></mtd></mtr><mtr><mtd><mi>e7</mi><mo>=</mo><mi>m_2</mi><mo>*</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>e6</mi></mtd></mtr></mtable></mfenced><mo>+</mo><mi>n_2</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>p_2</mi></mtd></mtr></mtable><mtable><mtr><mtd><mi>n_1</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>w</mi><mo>=</mo><mo>&quot;</mo><mi>y</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>v</mi><mo>=</mo><mo>&quot;</mo><mi>x</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>e5</mi><mo>=</mo><mi>y</mi><mo>=</mo><mo>-</mo><mi>m_1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>p_2</mi></mtd></mtr><mtr><mtd><mi>e6</mi><mo>=</mo><mo>-</mo><mi>m_1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>p_2</mi></mtd></mtr><mtr><mtd><mi>e7</mi><mo>=</mo><mi>m_2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_2</mi><mo>*</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>e6</mi></mtd></mtr></mtable></mfenced><mo>=</mo><mi>p_2</mi></mtd></mtr></mtable></apply></mtd></mtr><mtr><mtd><mi>n_2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>p_1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>9</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>p_2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>9</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>e1</mi><mo>=</mo><mi>m_1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_1</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>p_1</mi></mtd></mtr><mtr><mtd><mi>e2</mi><mo>=</mo><mi>m_2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_2</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>p_2</mi></mtd></mtr><mtr><mtd><mi>R</mi><mo>=</mo><mi>resol</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>m_1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_1</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>p_1</mi></mtd></mtr><mtr><mtd><mi>m_2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n_2</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>p_2</mi></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>D</mi><mo>=</mo><mfenced close="|" open="|"><mtable><mtr><mtd><mi>m_1</mi></mtd><mtd><mi>n_1</mi></mtd></mtr><mtr><mtd><mi>m_2</mi></mtd><mtd><mi>n_2</mi></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><msub><mi>R</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><msub><mi>R</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></mtd></mtr></mtable><mrow><mi>D</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>-</mo><mn>6</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>3</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>20</mn><mn>7</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mfrac><mn>38</mn><mn>21</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>20</mn><mn>7</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>38</mn><mn>21</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><ms>x</ms></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e5</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mn>6</mn><mo>*</mo><mi>y</mi><mo>-</mo><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e6</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo>*</mo><mi>y</mi><mo>-</mo><mn>8</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e7</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn><mo>*</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>6</mn><mo>*</mo><mi>y</mi><mo>-</mo><mn>8</mn></mtd></mtr></mtable></mfenced><mo>+</mo><mn>3</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>6</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Com que el coeficient de #w és 1 en la primera equació, aïllem #w: #e5
i substituïm #w per #e6 en la segona equació per aïllar #v:
#e7
  
UNA FRACCIÓ NO SIMPLIFICADA ÉS INCORRECTA
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 Un cop calculat #v, es fa servir l'equació #e5 per calcular #w.

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 4.04.3.2.80 TEORIA: TIPUS DE SISTEMES
Tipus de sistemes

Si trobem una solució del tipus (1,-2) el sistema té una solució única i és COMPATIBLE DETERMINAT. 

Si apareix una equació del tipus 0x+0y=0, el sistema té infinites solucions i és COMPATIBLE INDETERMINAT.

Si apareix una equació del tipus 0x+0y≠0, el sistema no té cap solució i és INCOMPATIBLE.
]]> 0.0000000 0.0000000 0 4.04.3.2.81 Relaciona sistema i tipus Apariona els sistemes següents

]]> 1.0000000 0.5000000 0 true La teva resposta és correcta.

]]> La teva resposta és parcialment correcta.

]]> La teva resposta és incorrecta.

]]> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»11«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»12«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> Sistema compatible determinat «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»21«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»22«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> Sistema compatible indeterminat «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»31«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»32«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

]]> Sistema incompatible <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol 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xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>a11</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a12</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>b11</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e12</mi><mo>=</mo><mi>a13</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a14</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>b12</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a21</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>b21</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>m</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a23</mi><mo>=</mo><mi>m</mi><mo>*</mo><mi>a21</mi></mtd></mtr><mtr><mtd><mi>a24</mi><mo>=</mo><mi>m</mi><mo>*</mo><mi>a22</mi></mtd></mtr><mtr><mtd><mi>b22</mi><mo>=</mo><mi>m</mi><mo>*</mo><mi>b21</mi></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>a21</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a22</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>b21</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi><mo>=</mo><mi>a23</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a24</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>b22</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>a31</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a32</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>b31</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a33</mi><mo>=</mo><mi>n</mi><mo>*</mo><mi>a31</mi></mtd></mtr><mtr><mtd><mi>a34</mi><mo>=</mo><mi>n</mi><mo>*</mo><mi>a32</mi></mtd></mtr><mtr><mtd><mi>b32</mi><mo>=</mo><mo>(</mo><mi>n</mi><mo>+</mo><mn>2</mn><mo>)</mo><mo>*</mo><mi>b31</mi></mtd></mtr><mtr><mtd/></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>a31</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a32</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>b31</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e32</mi><mo>=</mo><mi>a33</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a34</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>b32</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e12</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>=</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>=</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn><mo>*</mo><mi>y</mi><mo>=</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>3</mn><mo>*</mo><mi>y</mi><mo>=</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e32</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>6</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>6</mn><mo>*</mo><mi>y</mi><mo>=</mo><mn>16</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Compara els coeficients i mira si són proporcionals:

  • si no ho són, el sistema és compatible determinat
  • si ho són tots, el sistema és compatible indeterminat
  • si només ho són els de x i y, el sistema és incompatible
]]> 4t ESO/4.04 EQUACIONS/4.04.3 Sistemes/4.04.3.3 Sistemes no lineals 4.04.3.3.00 TEORIA Sistemes NO LINEALS Resolució de sistemes no lineals Un sistema no lineal es resol per substitució.
Exemple:
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨¨ open=¨{¨»«mtable»«mtr»«mtd»«mi mathvariant=¨bold¨»x«/mi»«mo»+«/mo»«mi mathvariant=¨bold¨»y«/mi»«mo»=«/mo»«mn»6«/mn»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi mathvariant=¨bold¨»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mi mathvariant=¨bold¨»y«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mn»20«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»
Aïllem y en la primera equació: y = 6 - x
Substituïm en la segona equació: x2 + (6-x)2 = 20 i resolem el 2n grau.
Solucions: (2,4) i (4,2) ]]> 0.0000000 0.0000000 0 4.04.3.3.11Q SistNoLineal sum i quad Resol el sistema d'equacions següent:

#e_1

Les solucions són:
  • [x1,y1] = [{#1} , {#2}]
  • [x2,y2] = [{#3} , {#4}]
 
]]> 4.0000000 0.5000000 0 <question><wirisCasSession>&lt;session lang=&quot;ca&quot; version=&quot;2.0&quot;&gt;&lt;library closed=&quot;false&quot;&gt;&lt;mtext style=&quot;color:#ffc800&quot; xml:lang=&quot;es&quot;&gt;variables&lt;/mtext&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;apply&gt;&lt;csymbol definitionURL=&quot;http://www.wiris.com/XML/csymbol&quot;&gt;repeat&lt;/csymbol&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mfenced&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mfenced&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;mrow&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;&amp;lt;&lt;/mo&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;/mrow&gt;&lt;/apply&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;s_2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;e_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mfenced&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;s_2&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;w_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/library&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;e_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfenced&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;65&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;/group&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/session&gt;</wirisCasSession></question> Cal aïllar x en la primera: y = #w_1
i substituir en la segona: x2 + (#w_1)2 = #s_2.
Penseu en emprar la fórmula (a - b)2 = a2 -2ab + b2 per calcular (#w_1)2

]]> 4.04.3.3.12Q SistNoLineal dif i quad Resol el sistema d'equacions següent:

#e_1

Les solucions són:
  • [x1,y1] = [{#1} , {#2}]
  • [x2,y2] = [{#3} , {#4}]
 
]]> 4.0000000 0.5000000 0 <question><wirisCasSession>&lt;session lang=&quot;ca&quot; version=&quot;2.0&quot;&gt;&lt;library closed=&quot;false&quot;&gt;&lt;mtext style=&quot;color:#ffc800&quot; xml:lang=&quot;es&quot;&gt;variables&lt;/mtext&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;apply&gt;&lt;csymbol definitionURL=&quot;http://www.wiris.com/XML/csymbol&quot;&gt;repeat&lt;/csymbol&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mfenced&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mfenced&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;mrow&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;/mrow&gt;&lt;/apply&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;s_2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;e_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mfenced&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;s_2&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;w_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;e_2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;msup&gt;&lt;mfenced&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;/mfenced&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;s_2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math 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xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_11&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;msub&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_12&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;msub&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;apply&gt;&lt;csymbol definitionURL=&quot;http://www.wiris.com/XML/csymbol&quot;&gt;if&lt;/csymbol&gt;&lt;mrow&gt;&lt;mi&gt;r_11&lt;/mi&gt;&lt;mo&gt;&amp;lt;&lt;/mo&gt;&lt;mi&gt;r_12&lt;/mi&gt;&lt;/mrow&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;t_11&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;r_11&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;t_12&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;r_12&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;t_11&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;r_12&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;t_12&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;r_11&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/apply&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;u_11&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;t_11&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;u_12&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;t_12&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mfenced close=&quot;]&quot; open=&quot;[&quot;&gt;&lt;mrow&gt;&lt;mi&gt;t_11&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;u_11&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mfenced close=&quot;]&quot; open=&quot;[&quot;&gt;&lt;mrow&gt;&lt;mi&gt;t_12&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;u_12&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/library&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;e_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfenced&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;15&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;113&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;w_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;15&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;e_2&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;30&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;112&lt;/mn&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;r_11&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;r_12&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfenced close=&quot;]&quot; open=&quot;[&quot;&gt;&lt;mrow&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_2&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfenced close=&quot;]&quot; open=&quot;[&quot;&gt;&lt;mrow&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;/group&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/session&gt;</wirisCasSession></question> Cal aïllar x en la primera: y = #w_1
i substituir en la segona: x2 + (#w_1)2 = #s_2.
Penseu en emprar la fórmula (a - b)2 = a2 -2ab + b2 per calcular (#w_1)2

]]> 4.04.3.3.13Q SistNoLineal dif i prod Resol el sistema d'equacions següent:

#e_1

Les solucions són:
  • [x1,y1] = [{#1} , {#2}]
  • [x2,y2] = [{#3} , {#4}]
 
]]> 4.0000000 0.5000000 0 <question><wirisCasSession>&lt;session lang=&quot;ca&quot; version=&quot;2.0&quot;&gt;&lt;library closed=&quot;false&quot;&gt;&lt;mtext style=&quot;color:#ffc800&quot; xml:lang=&quot;es&quot;&gt;variables&lt;/mtext&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;apply&gt;&lt;csymbol definitionURL=&quot;http://www.wiris.com/XML/csymbol&quot;&gt;repeat&lt;/csymbol&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mfenced&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mfenced&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/apply&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;s_2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;e_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mfenced&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;·&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;s_2&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;w_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;e_2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;w_1&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;s_2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;resol&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;w_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;s_2&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_11&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;msub&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_12&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;msub&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;apply&gt;&lt;csymbol definitionURL=&quot;http://www.wiris.com/XML/csymbol&quot;&gt;if&lt;/csymbol&gt;&lt;mrow&gt;&lt;mi&gt;r_11&lt;/mi&gt;&lt;mo&gt;&amp;lt;&lt;/mo&gt;&lt;mi&gt;r_12&lt;/mi&gt;&lt;/mrow&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;t_11&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;r_11&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;t_12&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;r_12&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;t_11&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;r_12&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;t_12&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;r_11&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/apply&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;u_11&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;t_11&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;u_12&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;t_12&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mfenced close=&quot;]&quot; open=&quot;[&quot;&gt;&lt;mrow&gt;&lt;mi&gt;t_11&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;u_11&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mfenced close=&quot;]&quot; open=&quot;[&quot;&gt;&lt;mrow&gt;&lt;mi&gt;t_12&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;u_12&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/library&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;e_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfenced&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;w_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;e_2&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;r_11&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;r_12&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfenced close=&quot;]&quot; open=&quot;[&quot;&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_2&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfenced close=&quot;]&quot; open=&quot;[&quot;&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;/group&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/session&gt;</wirisCasSession></question> Cal aïllar x en la primera: y = #w_1
i substituir en la segona: x · (#w_1) = #s_2,
i trobem les solucions de l'equació. Només és possible una de les dues solucions

]]> 4.04.3.3.21Q SistNoLineal ax+by_x^2+y^2 Resol el sistema d'equacions següent:

#e_1

Les solucions són:
  • [x1,y1] = [{#1} , {#2}]
  • [x2,y2] = [{#3} , {#4}]
 
]]> 4.0000000 0.5000000 0 <question><wirisCasSession>&lt;session lang=&quot;ca&quot; version=&quot;2.0&quot;&gt;&lt;library closed=&quot;false&quot;&gt;&lt;mtext style=&quot;color:#ffc800&quot; xml:lang=&quot;es&quot;&gt;variables&lt;/mtext&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;apply&gt;&lt;csymbol definitionURL=&quot;http://www.wiris.com/XML/csymbol&quot;&gt;repeat&lt;/csymbol&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mfenced&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mfenced&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mfenced&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mfenced&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;mrow&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo&gt;∧&lt;/mo&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/apply&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;s_2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;w_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;e_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mfenced&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;s_2&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;e_2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;msup&gt;&lt;mfenced&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;/mfenced&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;s_2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;resol&lt;/mi&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;msup&gt;&lt;mfenced&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;/mfenced&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;s_2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_11&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;msub&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_12&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;msub&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;apply&gt;&lt;csymbol definitionURL=&quot;http://www.wiris.com/XML/csymbol&quot;&gt;if&lt;/csymbol&gt;&lt;mrow&gt;&lt;mi&gt;r_11&lt;/mi&gt;&lt;mo&gt;&amp;lt;&lt;/mo&gt;&lt;mi&gt;r_12&lt;/mi&gt;&lt;/mrow&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;t_11&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;r_11&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;t_12&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;r_12&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;t_11&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;r_12&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;t_12&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;r_11&lt;/mi&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/apply&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;u_11&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;t_11&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;u_12&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;s_1&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;t_12&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_1&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mfenced close=&quot;]&quot; open=&quot;[&quot;&gt;&lt;mrow&gt;&lt;mi&gt;t_11&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;u_11&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_2&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mfenced close=&quot;]&quot; open=&quot;[&quot;&gt;&lt;mrow&gt;&lt;mi&gt;t_12&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;u_12&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/library&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;w_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;29&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;e_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfenced&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;26&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;82&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;e_2&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;156&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;594&lt;/mn&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;33&lt;/mn&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_1&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfenced close=&quot;]&quot; open=&quot;[&quot;&gt;&lt;mrow&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_2&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfenced close=&quot;]&quot; open=&quot;[&quot;&gt;&lt;mrow&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;33&lt;/mn&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;31&lt;/mn&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;/group&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/session&gt;</wirisCasSession></question> Cal aïllar y en la primera: y = #w_1
i substituir en la segona: x2 + (#w_1)2 = #s_2.
Penseu en emprar la fórmula (a - b)2 = a2 -2ab + b2
Es resol l'equació de 2n grau que en resulta.
Per cada valor de x, es substitueix en y = #w_1 per trobar la y corresponent.

]]> 4.04.3.3.31Q SistNoLineal x^2+y^2, x^2-y^2 Resol el sistema d'equacions següent:

#e_1


Escriu els 4 parells de solucions
{{1,1},{-1,2},{2,3},{-3,4}}

]]> 1.0000000 0.5000000 0 0 #sol <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr></mtable><mrow><mi>a</mi><mo>&lt;</mo><mi>b</mi></mrow></apply></mtd></mtr><mtr><mtd><mi>s_1</mi><mo>=</mo><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup></mtd></mtr><mtr><mtd><mi>s_2</mi><mo>=</mo><msup><mi>a</mi><mn>2</mn></msup><mo>-</mo><msup><mi>b</mi><mn>2</mn></msup></mtd></mtr><mtr><mtd><mi>t_1</mi><mo>=</mo><mo>-</mo><mfenced><msqrt><mfrac><mrow><mi>s_1</mi><mo>+</mo><mi>s_2</mi></mrow><mn>2</mn></mfrac></msqrt></mfenced></mtd></mtr><mtr><mtd><mi>t_2</mi><mo>=</mo><mfenced><msqrt><mfrac><mrow><mi>s_1</mi><mo>+</mo><mi>s_2</mi></mrow><mn>2</mn></mfrac></msqrt></mfenced></mtd></mtr><mtr><mtd/></mtr></mtable><mrow><mi>t_1</mi><mo>&lt;</mo><mi>t_2</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e_1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><msup><mi>y</mi><mn>2</mn></msup><mo>=</mo><mi>s_1</mi></mtd></mtr><mtr><mtd><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><msup><mi>y</mi><mn>2</mn></msup><mo>=</mo><mi>s_2</mi></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e_2</mi><mo>=</mo><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>=</mo><mi>s_1</mi><mo>+</mo><mi>s_2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w_1</mi><mo>=</mo><mi>s_1</mi><mo>+</mo><mi>s_2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w_2</mi><mo>=</mo><mfrac><mi>w_1</mi><mn>2</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi><mo>=</mo><mi>resol</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><msup><mi>y</mi><mn>2</mn></msup><mo>=</mo><mi>s_1</mi></mtd></mtr><mtr><mtd><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><msup><mi>y</mi><mn>2</mn></msup><mo>=</mo><mi>s_2</mi></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u_11</mi><mo>=</mo><mo>-</mo><msqrt><mrow><mi>s_1</mi><mo>-</mo><msup><mfenced><mi>t_1</mi></mfenced><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u_12</mi><mo>=</mo><msqrt><mrow><mi>s_1</mi><mo>-</mo><msup><mfenced><mi>t_1</mi></mfenced><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u_21</mi><mo>=</mo><mo>-</mo><msqrt><mrow><mi>s_1</mi><mo>-</mo><msup><mfenced><mi>t_2</mi></mfenced><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u_22</mi><mo>=</mo><msqrt><mrow><mi>s_1</mi><mo>-</mo><msup><mfenced><mi>t_2</mi></mfenced><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mfenced close="]" open="["><mrow><mi>t_1</mi><mo>,</mo><mi>u_11</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mo>=</mo><mfenced close="]" open="["><mrow><mi>t_1</mi><mo>,</mo><mi>u_12</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>=</mo><mfenced close="]" open="["><mrow><mi>t_2</mi><mo>,</mo><mi>u_21</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>=</mo><mfenced close="]" open="["><mrow><mi>t_2</mi><mo>,</mo><mi>u_22</mi></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>t_1</mi><mo>,</mo><mi>u_11</mi></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>t_1</mi><mo>,</mo><mi>u_12</mi></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>t_2</mi><mo>,</mo><mi>u_21</mi></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>t_2</mi><mo>,</mo><mi>u_22</mi></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>8</mn><mo>,</mo><mo>-</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e_1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mtable><mtr><mtd><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><msup><mi>y</mi><mn>2</mn></msup><mo>=</mo><mn>73</mn></mtd></mtr><mtr><mtd><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><msup><mi>y</mi><mn>2</mn></msup><mo>=</mo><mn>55</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w_1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>128</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]" open="["><mrow><mo>-</mo><mn>8</mn><mo>,</mo><mo>-</mo><mn>3</mn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]" open="["><mrow><mo>-</mo><mn>8</mn><mo>,</mo><mn>3</mn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]" open="["><mrow><mn>8</mn><mo>,</mo><mo>-</mo><mn>3</mn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="]" open="["><mrow><mn>8</mn><mo>,</mo><mn>3</mn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>8</mn><mo>,</mo><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>8</mn><mo>,</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>8</mn><mo>,</mo><mo>-</mo><mn>3</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>8</mn><mo>,</mo><mn>3</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Sumant les equacions es troba: 2x2 = #w_1
i x correspon a les dues arrels de «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac mathcolor=¨#003300¨»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w_«/mi»«mn mathvariant=¨bold¨»1«/mn»«mo mathvariant=¨bold¨»§#160;«/mo»«/mrow»«mn mathvariant=¨bold¨»2«/mn»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»w_«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»2«/mn»«/mstyle»«/math» (positiva i negativa).
Després cal substituir x2 en qualsevol de les dues equacions per trobar y2 i, per tant, els dos valors possibles de y per cada valor de x.

]]> 4t ESO/4.04 EQUACIONS/4.04.3 Sistemes/4.04.3.4 Problemes Sistemes 4.04.4.3.12 Problema nombres (suma i diferència)  

nombres
La suma de dos nombres és #s i la seva diferència és #d.
Quins són aquests nombres?
Nombre més gran: {#1}
Nombre més petit: {#2}




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 2.0000000 0.5000000 0 <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>s_1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>11</mn><mo>,</mo><mn>99</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>s_2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>11</mn><mo>,</mo><mn>99</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>s</mi><mo>=</mo><mi>s_1</mi><mo>+</mo><mi>s_2</mi></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>s_1</mi><mo>-</mo><mi>s_2</mi></mtd></mtr></mtable><mrow><mi>s_1</mi><mo>&gt;</mo><mi>s_2</mi><mo>+</mo><mn>5</mn></mrow></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s_1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>95</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s_2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>70</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>165</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>25</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers></question> Cal resoldre el sistema format per les equacions:
x + y = #s
x - y = #d

]]> 4.04.4.3.21 Sist: Problema geometria camp
L'ample d'un camp és el triple que la seva llargada. Quines són les dimensions del camp si el seu perímetre és de #p m?
Ample: {#1}
Llargada: {#2}








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 2.0000000 0.5000000 0 <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>3</mn><mo>*</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>a</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>b</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>16</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers></question> Les 2 equacions són:
x = 3y
2x + 2y = #p.
El més fàcil és resoldre'l per reducció.

]]> 4.04.4.3.31 Problema grup turistes  

picasso
Dos grups de turistes visiten el museu Picasso de Barcelona. El primer té #a adults i #b nens/es i paguen #e €. El segon té #c adults i #d nens/es i paguen #f €.
Quin és el preu de cada tipus d'entrada?
Adults: {#1}
Nen/a: {#2}

 

]]> 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 2.0000000 0.5000000 0 <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>11</mn><mo>,</mo><mn>19</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>11</mn><mo>,</mo><mn>19</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>s_1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>11</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>s_2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>*</mo><mi>d</mi><mo>-</mo><mi>c</mi><mo>*</mo><mi>b</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>s_1</mi><mo>+</mo><mi>b</mi><mo>*</mo><mi>s_2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>c</mi><mo>*</mo><mi>s_1</mi><mo>+</mo><mi>d</mi><mo>*</mo><mi>s_2</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>11</mn><mo>,</mo><mn>8</mn><mo>,</mo><mn>12</mn><mo>,</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>254</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>244</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s_1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s_2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers></question> Cal resoldre el sistema format per les equacions:
#a x + #b y = #e
#c x + #d y = #f

]]> 4.04.4.3.32 Problema taronges i pomes  

fruits
Si comprem #a kg de pomes i #b kg de taronges ens costen #e €. A la mateixa fruiteria, per #c kg de pomes i #d kg de taronges paguem #f €.
Quin és el preu de cada kg de pomes? I el de cada quilo de taronges?
Pomes : {#1}
Taronges: {#2}

 

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2.0000000 0.5000000 0 <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>s_1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>1</mn><mo>*</mo><mi>aleatori</mi><mo>(</mo><mn>11</mn><mo>,</mo><mn>20</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>s_2</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>1</mn><mo>*</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>*</mo><mi>d</mi><mo>-</mo><mi>c</mi><mo>*</mo><mi>b</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>s_1</mi><mo>+</mo><mi>b</mi><mo>*</mo><mi>s_2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>c</mi><mo>*</mo><mi>s_1</mi><mo>+</mo><mi>d</mi><mo>*</mo><mi>s_2</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>,</mo><mn>9</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>11.1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>15.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s_1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s_2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.9</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers></question> Cal resoldre el sistema format per les equacions:
#a x + #b y = #e
#c x + #d y = #f

]]> 4.04.4.3.41 Problema taronges i pomes Rebaixa %  

fruits
Si comprem #a kg de pomes i #b kg de taronges ens costen #e €. Si ens rebaixen les pomes un 10% i les taronges un 20%, paguem #f €.
Quin és el preu de cada kg de pomes? I el de cada quilo de taronges?
Pomes (arrodonit als centèsims): {#1}€
Taronges (arrodonit als centèsims) : {#2}€

 

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pggdB3xXpU8LXhTtCcl5JntYXNsRRp+yjsdF4w8SW5iKQkszNkuqkk9hz3rznxJNFHNPOF86ebGHHIXAPHP86m1zxF5282n74plUwQFAx0P+FcZ4hu7iNt1wVUeXkqpzkn3r3cry32dlsYOVSpO7Z+gv7PMC23wS0HZxt0yFs+hK5P8AOs/xvLJIkm0l8HBwQK0f2dblLz4JaE8RHzaVbn6fuxUHiG0kuL1YI0M+DlhnhOe/pXDxBGf9mYVQ6823fm/rofQzbVJeh4J8To7hrrzba28xUyTG8pVmGPr615Jc65rWnmZY0MJLnJbOVwfX8K+qfG3w+S83y3L2UCSr8qLuZh/WvNPGfwyiNj5ZmVyFwuBt49cY/nV5FVjhq6o4n3H/AF91wy2coVWpu1x37MHxm3+I7Xw7qymOa6fyrW7/AOWczAAmNj0ztyRX0xr9rE+y44CkZUngV8JD4ReJLbx9oclgZXEOpwzRCM4aL51yw/Ac/SvvO+gZNFgjmLZjQHBOTx3OK+ozGjRqYesoK8WubyUk9/mt/Q68zowjNTh1WvqcZqjbJWZ22gj5Vzk1wfiuJpZpHJ5bqcZrv9b2oSisuCC24pXFeISqQkEqfc5r8hrVJe25W+rPAnzN2ucDqdpiZvlG09u/1rC1COVHIRyeMnjBFdHrUzCQ7HPSuU1i4dG3RtgEfMRzz6V7mD5pWPoskpN1EZq31yl2QrsE4Dbjg1Lf+IRDCwJJ+X5s9qwtUumN0QG6DrWHrl20lu/myKAo6ZwTX0NLBRqNcyP27Kpezpo+m/h3HE3hnTZUcMXhDkHp7V001sHRVK+ZvGzcMAqeen61wfwNvUufCWls7fuvsyb+cY4/xFekXkcr2qkqoEq8oD3xuDA/p+NfDVsI/rFS/Rv8zzMzcqeKav1ZzXiBRCEWK4LK8YcuRgN0/rn8qxGuERh9pnnCr8+2JwG3dvwrT8ROsk/2dQ4ZYwuMYJYLz+HWufuPL38xZYr8odiAo9feqpqKm2lb+vM9TB0701zD7+9Z9r3Eu55Qo/eZyqmmRzW8MarbyTM77iyBSdv1PSqvluJkLH7zAgYz0PU5qO5lPmlipfL42kn5uemBya6FBPQ9ONGNlFDjco9wJLhUZkGVjZc59CT2Arj/ABPPcxXEhhjRfOGEZxywPYDqM4zWzqrzIOHSN3IMh+8FGfu4rE1tkES3Kz+XLuPkKrDftHc9cZ7V6mDp8skz28BSUZqW9zi9bZ0kMkxbc2Rgrwtcx4j1FLWzMVvmS4mO1BtPB9a6rWpvOlO5gc9R2XJ/Wud13TEvh5cbbZTlUZexxya+wwTgnHnPo8VGtLDtU9JWOYuvDyL4EbxBDqV3Jf21y7SgbREAFDfU5JIzng44rptBuGuNIikTADKDk98+9YGofD3U7W2S1kvnmgd/NdFdhtb1K9M+9dBp2k3un6Wnls8yQrkptyeP5162Nr0KtOPLNN37W0PkeF8uzHBTrSxPwyatrfXX/gfcW/KBi81ipJPQelM+UdxTLV7hEIlj2oeVXuPrSMAWJ3Dr615tnfVn30aTlFSZ+j4fGAx6/wAQpl9cOFJHlR4XD/7Xp+NJeO4kGME9ABWTfTkZJOTnua/LsTjnhozpwbtt20t/Xy0ejP5Mo0edpkF7KrMXkAfAOFGQAax9RuhGhz6dOpqa7lJUk5Bz1JrmfEN6Ft3IbjOBXzEU69TU+jwWF5pJEd5q4i1OJ2kZQrAdPfmvUdEuo7i3Eg+dtowV7jjOK+fdXvGubgqpIUNwc8DFen/CvWzeaYI2kCSRqULEZzxwxr9P4IxKwGMVKW1S33rbyOHjLKZQw9PERW2j+e36mn48t1fSb15EUrb4kt0TqeM/lwfzNeQ6nbOtpFKcNHOGc4xhWzg5H4cV7vrELy2Lqx87EHIUY3MPQf5xXk/iDSVjsI7kBkaWJZ3jxgoAQMe57mvX4xy6UMQq8I9Hf7/x0dj8dx2Gc5ppHHu2IyjKNxGAAOEyOM++K5vxIsMEDlgCwU/Mecdfz/kK0dUkeK5lkEmC5PJ+UEZ/IVg+IJi9o05cMytskQZ3H056YPt+NfMYSk+dNM8+nTTdmjmdRnupoC0siLGq5UL97HbiuS1K8drsIIgFd8AnlmPYVvalcPNOS7cYwdwyQf7v41g+ILyytmkuDjchAUfwhvb1r7DBws7W3PTw+Ge9ivqF8qSLD520xqB8i8Hn+ee9czrU/mTFGbBGSzk/41U1S+jubh38z5RwAvT6kVnXl/HHZtFCA7c53NwSf5V9PhMC42stT0I4flP0X/YS1q31j4A6OsTmQW0DWrbupMbsOfwxXe6kXhvXiiUxpu3bgK+QP+CbHxITThrPhK4nUtBOLy3XPDKw2vj6MFP/AAKvrC81iHUj5oZY2HJ5zur5LPp4fD0pYKUuWrTm2ul4y97R/P8ADueqqbdNM2LeNtQ2QyLGhxkyKMk1DrvhWC5Q4f5cbW3jeEHqB61Bo10YZwA3zY+fdwMdsV06X8L2YRtuXbbXZlE8vx+Gf1qzqLv5bf8ABMIpX1OL0fwxp9p4gSNYmlAXcZJOWc/X0/wrotckDRCNo2CopHy8k4pdFaNNQuJWOWdiq59AM/1NZviC6cSyhGPIyMnofSssxxMKGXuSekna3ktl/XcuvVc0rs5XX5R5zxgKML8oI6DvXE+JnwpZJonQj7ob5gfcV1OtmU75ZOQPzrhNcSUyHIJK9q/MI+9U5pLc8ed7nJazJKzyIWxuOeB/KuS1yScKER/zrttRgCOwlA4Ge1crqVs8sjbGXDE4FfTYGcUfZcPUZOaZx2ovtcgsQT2yK5LxFMybstg/XrXda9ZFVIZVBxyQP5GuF8RxRoX3dugxX1+XyjJo/XMP7tI90/ZX1pbzwRbDeWexd4JMdRzkZ+oYV7z/AK/TGBQlWTCktwwByPoea+NP2XPEv9leML3SpZlC3IE8aN0Zl4I/Ij8q+r9Bv45LEsDI8DDMcf3iRyePcY6e9fJZ1hXhM0qJr3Z6r56/8AxzOk60IYiP9Nfr1KXiNXRpZkkZpBKyiTGGxgZA9qw7qOSGSNmHEqb1PXP+Tmt+9YvK0L7S6lcHcSTjg59OCPyrJ1QmS3hjw58kkdBkAnPB9OTXgJRTlf5fedOEk0lH+tigh375JTuZPmZWcgEdB+pqlfIPnVw/mKeMEbVHXirssRMhJcqp6Ow+U+xqCW1IPksXcHJAVfX+lbQkkepTkk73OU1stHCkz7mXcT90556celczryyIVgkcYkJ+b1XOa6zxLGRbFmTYY5Bu77h6YNYWp2sUSuRNuki+dFK8MG7qfb0r3sHNJJn1WAqJJP8Ar+tTlrxGlux0IK5TsM9B+NP01FhnDMgLR9SecVcjtHuOVLMUPzZHK88c1ci0pjJ5jp5YY8hT3r1ZV4qPK2e5PEQjHlbKRk81iCpwTnkUtlGDknhTnp9a0NStLe1hDK4PX2rnW1JhdCC3SSSWVgqIilmcnoAByTSpXqx9wml++i3DYbriors5wCwwa51rttx2xSFc8EREgivpr4L/AAFF2Idb8ex7+A8WlZ4X084jqf8AZH4+le6waJpcECQw6baRxxqFREt1CqAMAAY6V4WK4ww2En7OjT9rbd3svk7O/wCXmz4vN/ELBYGr7DDR9q1u07L5Ozv67dmyxdyMQmRgKMe5rNuyNpORk96u6gSlwy8kjg81Ql+ZdiEsWBIA7fj2r4itRnOcovfb7tP6sfjVBWSZlaq4WLryoyeK4TxXemSQIhJwflFdf4iZhbvgYKfeBOMZrzzVn3yOWPcYNXl9D3uZo+wyaim+ZmcrMi4fHyscYOSc1a8JeKhoXieAyTuIZyI5CeAueB/Os2eQqWbZ0Bxz+tcF40vcs8YJyOAR+tfXYCg51k07Nan16yelmVOeHqr3ZKz/AM/lufXOh62moCWd7by9q7fP52r/AEBwTXK+KEjuUtHguvtcFvbtJMy/KLjAILA88jjIryz9nr4pzTwv4a1C7C3kKYV2UMZ4gevPVgPz616d4h1+z/sTZpZlmnkzBCZIc7C5BYFgOODjA/GvtpYxYrCPD4yX7yKu9FrrdNK+qduq8n1PwLiLhnEZZi50akPdvo9bev8AXoeY6zJ/oMtqWDxo4wSgBRj1/l+lN8P+BNS19I7gyCztXPLSqd7jB5Uev1xW14N0GfUtcmmuGX7Pb3RVrcH/AFjqBhiP7uGr17RNL2A+aADwcDgf/Xr5GhRqufs4b9fL+kfK0svpwkp1Ffy/z/yPMtB+DXhq0RpLqO61N3Az58gRB9AOfzNdFF4A8Kw2ghi8L6dsTlV+zhv1PU16PDaJ5IAXGOxpL2GOOBmdgq+pHAr3JZViHDnlN7Hq08VVpL93aPokv0PJda+HXhRoXT/hGNIlhky0kb2aZOfcDPXFeY+Lfgd8OtSE6w6Q2mTzKctZXBCr23BTkZ9K+lrmzSSby15KKVz9ea5Lxx4exCbuBG8yMEMUHIHPOO/uK8+tLMcFedGpJJdmz6PKszoYmaoYyCbezsvxPjeb4Y+KvhL48tfFfhS4OuWNizNfRqojmMBOGQJ/GdvzcHqOlfSngPxpaanZ2t9azrLbzRiSN1OQwIzVXUbGRrdv+WrRrgqGG0j0yBgZ9K8n127vPAuuCe2tJP7Edt1yRj/RnY4LAA/cyefQ89DU42rUz+Mfbpe2irKW3Muz809tr7HsYvIqUaMp4dadV+q6+p9SaNrf2i4jZmxlfu56V11pcK8IXd1OfYV86eCPF0N2EaOZWUkYIbjmvY9J1gvZwunK7Mkg9a+eo16uBquNdnwuIoShJ3OovbopG8is3yYbcp49D/LNZl5eCVSoZW3DnJpkVwSg2yAFhnGMgj0qstqWm3onyHlcHkV6lapiMQ4yhqnuv1/ry+XDJNmVqiSXJKys3ydMDn6Vyurx+Wzr96PORnrXpK2AliJZMEj7xrlPF1lb2sbSlh3yM9a8/MMtq4amqstb/eaYbDSqTSW553rKReQyiMYY9RWBLbxKVO3Hv6V0erupVnI2t/Sud1KdEUsXA9KvCOTVkfpGTYNUIpHPeI4YyHzyQOOK8v8AG6xxsWyGPf2rt/GWtpFG6lw2BxjrXkPjTXgwYBs9selfd5HhK0pI+mrYqFOk2zAl1qbRvENvqli7LNayiRDnrg9PoRxX1r8KPGq61oNrqNnLtguIwzKhyQehyPUEGviDV7vzZT8xPNeh/s1/EUeGNa/sfVJQunXjgxyP0hf39Af0NfT8TcNPF5cqlON6kPxXVfLdfM8fIOI6Lx88FiGvZ1Nm9lL/ACe3rbofa1teCR2ljkOO5PJ9v69aldzPLmWVvuZyB3xwK4Yam0So8cuA4zkelaOneK7cOFmygI25xkEdK/F6mEqLWKuj7upldWPvQVzrksElBBuGJjH7zzJFVYznoOeT7VNb6ZBJHuiupUSEbZZ2jf8AdN/d3Dt07UvgrxHpsCRwO0TxyTAykYOcfd7ZwTwevBrsJtb0pbYSprEccojYumwzMj+q9AfTBGete5luXYOvS56lRJrdPT7m3H+r2sfN4vEYqhU5OR+T/wCBZ/1bc4DX/D/2vw9qxW2t7w2RjdbuCXLqD1yCfmGMHPauN1eyuJQAZPOgRArSPbBjGXHTB5GDmvSNdvx5l/KgljW4iijiAIiYZyQZCW6/KSBg46cVxv2mNJJPtEoZZ0/enbzleQM45OQOlZYiUKM4wpLZP83boult7vzPcyvE1+Rt67W+aV/12srnJNpVuQN6OjrjcFBAPYkf1qCWK2tlICEkcYPOPT8q19RuEEHmebsAOFBPOT2xXG+L9dtbeNikqqQp+VDnH1NaYaNWvJR1Pr8Iq2IlbUzPG2qtLNHb2+6WRyEREXLOxOAMDqa+iv2Zvg9B4XsYvEOvwLNr1xHu+f5hZqf4E/2sdT+A9+D/AGPPh2+t6sPH+tWzeRExGlRSD7xHBmx6dl/E+lfVEMRARAOT+leNxFmUpS/szCvRaTa6v+X5dfPTofFcc8Uezj/ZWCl7q+Nrq/5fRde+wtvEzARRoc9cVprpEhUEMv4LUmgRbHJcDcR90joPb6806aaPzW/f4+Y8GQjFe/kfDGX0sBHEY5Xc9lflsl+r69vI/G6tebnyxOSuAxQtwwBwGYZyay70yfMgnyVO5owDk4/D0zVo3W99+0secgt+OR9OtN1W4ifTikSZIVsPgHnOScnGPpXylCGHxMJOM7WV+t3+Xprfz3PoKSlCSTRxfje4nMojklEnyfIynO5eo578Vw9626U4IAJ9a6bxMGGHLJyvIX+H2rkL0XUky29rC0s0hwqKKjD+/Jyvv3d/xP0DKqSjSSMXxLqAt7dsEZ6DntXlvi3U08x33ZPOAO/4V7tZfDhbyQT67O8hPIt4W2qPq3U/hW5p/g/QdNT/AEHR7aFgOWEQLH/gRya9fDZ3gsHsnN+Wi+//AIB9Fh+IsBgk4wTnLy0X3/8AAPiTVNV8QWeuwanpFvex3FrIJIZY4GOCPw6etfRHw28dDxZolrcXltLp+pqN1xaMSpZsYDrn+Hv6jpXouu2SRx7ljwOf4elcD4itib1PKQhi2FYcYJ4617FfO6GaU4x9jySjtK936PRXX9I8+tQhnM5Sqysn07fPQ9t+EenNBo0RbG9vmcnqSTnn9K9FjjWCBX2gox2lv+eZ7H6VzPw7tlGnxBWU4UAnHoK6PWDNaxO0KKrbCUeQ4ic44Vz2B9e1e5kmH5MKqrWr/X+v+Cfzxi5e0xE35la51SWDfwjMmAyZwQcgNj8CDWNPrMMzzxSXcWY3MUmJBgMGUAHngkN0968t0abx9cePNdtr6OJo2l861RpQ/wBmjZcNHvUDOARgnrtFWIvDOo3vi/WrebR5G0zUUi1J7kkoDcDyxsPPYwq3H96vfxGA5Y3rVP6f9afoaLB3k03selfD3WodfvL28hDrFDctbRhgV81gBlhnqBnGa6TVLMPH8qgn2HWvK/hhcy6TNJp8VsI7axuDZWDtOHNwx+eadvQAkjnuG9q9Es9Sn1OYSWs4ht8YTn944BwWA7DrzWGNpUaUJU+VvXp+fb+kYVYezk0eW/EvR2sZnnRMWsjZARcBG9MD9Pxrxzx9JZ3FobacgM6mNRjIweuQB6DvX1J8RNK+26LNAu0OU/djH8Q6V8hfEq6u7PUZVaUrIpIwDt7EZPr17V8bSwDo45wXqj9B4ezSpiKPLOXvR0/yPJLXxRf/AA+8UNYvNK+lyzMbYs25oRnoTX1j8CPHdn4j8Nr5U4aVMcA96+N/idb2lxbylgzzDAjI7N3rK+DXxI1f4f8AiOO6hZ5rMtieAnt32+9faZtwvHOsv9tQVq8flzf8F/meJntGFDE8rXuy1Xl3X9bH6a6NcJLEuMEk8r6V1GgW1tOFWWRQOhJ6V89fCf4teH/FOnJdaVqcUzYHmQk7ZI/ZlPIr0zTPFMDRblmUE9CGr88y7MZZTW9njaLvHRpo8F4W+x6tq0eiWGlyurBn2cknjgV4P471iG6vX2ORGpO0GtrxN4lzp8iiQEYwcNzXjPjTxGsDMobLMcAAZJJ6DFb5xm/9v16caFJQhDourZ7uU4KMZc8i54j1mCGNyHzt6g968u8c+MYkyoYDrjLdK9S8E/Av4g+PCl7qUh8N6VJhhJdKTPIv+zF1H1Yivb/h1+z18O/Ce24XTv7Tvhy17qCrK4PqoPC/gK9PAZZKlFSp0nUl2Wi+bf6Jnv1Myw9D3ebXy1PgpdG+IHi4F/D3hTWdQjLY8yK2YR/99tgfrV21/Zi+NetndPpGn6cjc5u9QTP5Jur9KE0nTowI44l2rwBu4/IdKc+lWLIwWNQ3bDV7McTxVTi/qeGpwt35pP8ARfgeZicxpV9JJ29f8j85W/Yv+JeAZNe8PgnqA0xx/wCOVkaz+yP8U7KXEEmiXagfeS6Zf0Za/SmfRLdgShbIHHOaytU0OVFY4EgGM4rxcVxbx1gLyr0ouK/u/wCVmYUsPlc3Zw/F/wCZ8B+EdO+K/wAO7BdL8WeHZtR0leI5radZpbce3OWX26iultfENrewiS1lGPQjaQfQg8ivq7X9CiuYDFcQjb7ivHviZ8H9PvhLdaeDa3PUPEcZ+teNR4rwmY1ubF0lTm93G9m/NNuz9PuP17hXOsHRprDYicmujdnbyvZO3rd+Z5wNdmhbfHI6kdCGxV+D4ha5DGsJ1GZo1PCs2QPXrXn3jjQvGnhm4bMS3tsucMQVOPwrh5/HxglEN3ZTRSdMYyBX1+FyVYyHNQtNPs/03Ps8ZjchoQUsZJRi9nKLt/4FZr8bnvU/xD1B0kDyRgyH5mCAsf8AgXXHNY1942nLZeXaFPCgcCvGZvH9uFzmUE56LWLqfjhn4hidie7HFd+H4SqN/wAM8ivxRwjgouSrRfpr+CPWvEHjWVgyec2Dyeepqr8IdHv/AIofFbT/AAxDI5gkfzr2Qf8ALKBTlz7E/dHuRXiGo6/f3RI3+Wp/u9a+6v8AgmT4AGkfC+48b30ZN/4klIhZxyltGSq4/wB5tx/Kp4loQ4dyeeJVvaS92C/vPr8ld/I+Rx3iVTxHPQy6m1FL4np6ef32PpnwxpdrpOkwWVlAkNvbxLHFGgwFUDAA/CtS1P8ApGcgkKTj8Krs+1QnSmCY+YwIG4HAJGOOlfh+CrQw9WE5a2afq9/vPy6q5VG5SerNaxuz5nl4wwyzA/3h021ZW2snUM4fcwyc+tYySYhWQbwN4x35AxTHvkDkNezKc8r5PT2r9Fy/PKMMOljYqfbmcVo+vvNavfzveyOOVJ393Q8w1HW3s1YOVJU8c1lv4pjuPlbhRxw2M1yHjvxBEs7J5oURn5snGKxPBeh+KfHOqhNFt5LezRsTX8mVijH1/iPsM18llvD88Ukox1Z+yYfJKEcM8RiGoRWrb0R6HJdtql4LW0KyMVwAxyIx6/hW7ouk22nxYRd8rYLSEcsak0HwlaeFdLdYrlrqeYDdPNgO+DjIAHA68Vbt1knYRxK3mqGkdyeAoGR9O9ebj6FaGIeGj0/H7vwPn8Ti6c040H+7XXa/n6Eixgo7hDsQgM2317VI+n7gWkWaNOrKvG0e+eK0PD1rFPP5zhl3OMpGAWQf3iW6ZP4nJrpF09Ahjit5nc5cqZSVJP8ACzd6+hyPhOpjaPtm9Pm7/cr/AC33+Xg4jHqlLlR5P4j054JCpjYAxl9ynKt6H8q43V9Pjdo2wOSCwxyvPavZ/Euk20UA3RTRIsnl74WLBU4Ib3UHPI9K868XW6Rz3L+YksMU2wyDgtxyV9q58Rl9fLa3JL8/+GfzsfUZNmXtLJHoPw2mjeyQQI7LjG91xn3rT8cakdKspr4W2ottQAm0h84c8EtGTyo6n2rC+E8u7R4hux8ozu4xWn4/0i21a3itzrGs27h1dU06cxPJjOVY/wB096/RcrqJZfTbfVdvw6/c7n4/iqXscXOnPpJr7mYXwGltPETnVkltJS6fObPeIWz12q/zKMg/KehzivWjpdsbdoxEu1hg8V4b4R8YWnhPxl/ZsVhBJZ3N21obi1fesDqAdshOMt1zgYGK900+/hubVJY2DK4yD6199hIUZp3V7/l/WhrJNO66njvxl8ATx+HZ7XRJ4tPhurgvdMkRzKjZLpkEEbmwSw5qD4YalCkpgW6ghnjYxSPeygyyhSPuIp+VcYwDz0r0v4kXdkugTrMykhCQpI546V4h8JrvS5PEN1c2OmXGjFGKvJcaSpVmyCGEik9VH+cV42Lw/s51IxfuJJrXZ3733/q466c6HM+h7Hq0ayQMAQcjrjvXxd+1Dpj6X47vI+RHMwkQ54UMMn+dfaTuWsEfz0myvDIAA1fKf7atvB/aVvKVIkliHUDgKxBOfyr5nEWWMpu256HC839ecF1X5HzD4iO23dQyODuCj0HfFea6ovl3rqMAZyMV6B4ikJ3oh+XrnHPSuC1vJ1FwT0Ir9FyNNXXkezxVTSoQb3T/AEYadd3dhdpd2N1NazpyssLlGH4ivT/Bnxn8bWMaw3V6uoRr0Mww/wD30Ov415WozgVsaHEWlVFUszcAAZJNdmZ4HCYqn/tFNSt3Wv37nzGBUnNRR9E/D/4h+KvHWtW2g6Nol1eahetsigik3Z9SSegA5JPQV9i/BL4P6X4RSHVvEKx6p4gYBmmZN0NocfdjB7/7R59MVi/sRfBq1+GPw2h1PVbYf8JNrESyXrsAWtUPKwKe2Bgt6n6Cu58d/E3wv4dvP7LvdTWO7kBUbULrEe28jgc18Ph8iwUpuvZQpX0/vfe9j3Y06+Jq/V8JByfW1367dDR8feOdD8LW/natfLCNwAiX5pHycDAFefXHx60S404TWNhd4kuGhX7RtBYDHzBQc45zzjvXkPxUvdT1e8+33MMJtzNiIzH5pcfefI5Izj8MVk65aRWusXUdsEiaK3NxAY2DpKF2o4PuV3H6169TE1YVGsOkoKy211vr6aabX0P0fKuCctjQg8TeU3ro9Fa2mmvXXe1mevaR8cNW1DQryYaPZWdxbttizcF1l9TjAPbr0rkNc+M3jyK+LfbLW1jjb5447dSrggEDnJ9e9chBbtZacmrW8VvBbFDDdDzDIdqsAMLnPIw2e2ar+JbWCEXmoJDJPaJOjooXB2shbODzgcAn3FcOKqY5ct6jvbvbo3fZaafofQ4Th7J6deVqEWn0avZ6K2revz8z0/wX8efE816iXmmaffWzthjFmGRR7McqT7cV7d4X8VaVr0LQIzRzFMtBJ8sijpn6Z718gygXcsF7ZGU296N07Q2wjijkwQsfHHQZNX/CGq3mi+J7DVLLU0WG0uViO6Uh5Y9wDLt6nPI/GuiljKtOPLWXOn3ta39Pv5HlZzwbgMVBzw0VTmlsr79n81bRLufYt3ZQzxDKKQeCGri/Fnh+fy2NtImT2x830HrXlWnfGzxJBctPI1tJbNcMi29xtUNg8hSORxjGf1r1rwN480Txbd3Glh1tdTtPlmt2YEqfVW/iH614mccM5RnNP2tCHJU6Pa/X9NLnw1fJM2yj97ON4Le2tvX799vM8h8a+GxcxtE8LHdnO75R/wDXr54+LPwqeaGS4jtVinGSQvRv/r192+LvC66hCxQqH2fLJjv715D4v0aRbiSyvYQCuSD6j/PNfBUquacO4pU6qtro+j9D7DI8/pYqi8PVSlF7pn54+JdGutNuWjmiYbc5yOaxWB+Xr0r6u+MfgS0uopZBAd5P7uTH6Gvmzxfolxpd46MhAU4PH61+18P8Q0sxpJPSR8hxdwh9Ui8bgtaT3Xb/AIH5FDw5pk+teJNP0e2BM2oXUdtGB/edwo/nX69/D7Q7Lw34V07QdPiCW+nWkdtCijoqKAP5Zr8y/wBjHRRrv7TnhO2bG23uzeNx1ESM/wDMCv1K0tQAW6gL196/L/FjFyr5pg8AnpGLk/8At52v8lF/efK4GPJhpS7v8l/wWLKQ7AZ4HWmSZx5juCWHUnn8ae3L7gARiqV5OY9xUge1fklZ+zV5Pf8Aq9v63OhO4l1dQwRA8MwJxsbB/Gsw6zcZ/wBc3/fIqrqE5Yn5hn6VQLjP3jWUcXXaXJLlXlp99t/maKmmbaQeBvEt0ty9hpd7cIeBNbr5gP0I5/WuhW1jS2FtDEkUKjAjRQqqPQAcCvmjXL26t3Enn7GU/KVJUg9sY6V7T8INS1a++HtvdarcyT3U7M0RcciMHCjI69Ca/fso4ohiqUoVqSjNreOz/W/3n0uc5HVwmHhWVXmheyT6enT8hvjGd2u9u0LtA2gdMAdPfkmsRLloC67c+bhWPJKqDnHHar/iiVhPCWO7zVL7VbIzgDj05BrEW5ZZUxJgB9wwucmvx7MpTlmFSo3u/nr/AMA2wdL9xFWO30q6U6sufIktLt/O3I2fLYcKSOMDriugvL4WyRzGeGa4k/drCjbVmJzjGThfUmvLLPVobL948C4SRf4iNrDqDzyDzWzc+ItMeD7VcQy6moIktlwMWzgfd2g8Aep4Nfd5DxBGlhpxk1GTd9b6X36d02tJJOVno2edisqnKomk2tvX+uuq20NvxNcXspijs4obeO3n8rzpH2iLcuHAJ42jjnvXmfiu7sbO3k02ylMitNmXcObpgD85/uAHAAFW/FPihZNPeR7eUSX8QUz3EgI2g8sqA4GSMfhXBaxqAupVit45ychrmYn1Y98YX6V5+ZYr65Wco9d2+i2SWiS0Sva99Fdn0+R5RUgk5qyX6dW79728+l9V6J8LNXCXZt1uPM6Zz6kZI/DmvVYUju7AohESuvzOOTg9q+XtJ8Q2mka8Lt7l1jLeWsSAdCeST7e1fRfgnV4buzTYwwFAx6+mK9jIMQoP6vV2e3+X/DHxXG2SzwWNWIUfcqa38+q/X5nn3xs8HQnTbrUoro2f2G0kDwhC8IgLbpXKqMmaQZXcOcGsPSvivd+HtGfTLpZPNFussBiBk2xsxQNjrgMACOvNe4a3ai5tGYLkj5iAP9Y3YH2HpXnmueCbU6zp93p1vawNbkxyt5eSUzu+X38zLc+9fYUMWqCdGtdpaprt/Wh8jTxEUlGor2/rscb4k8bazqF/p01pnUdNkhP9qLFEWmTcqlDGn8QxvOD/AHTXo/w6glYGf7O9nkCPZhSUIJwGxwyMDkHrVvQtAhs3LR2sfmKDHvCgEhWJUE9+CRXQWFhFbGOa3UxBVxt9V64NazxNNxtSjZPfV3/ruZVcRzxskPu/3doI5IVR8YJQcfhXyr+26c6nZ2/llWEJ3HGerHt+VfUeuXSrbOAxwB0LdK+Pv2jdXTVfGVzIsyvHGPLTuTjivmcTVi8ZCK1tqfTcF4OVfMXPpFP8djwDU9NdsyAER9wOprotMj8IXWi29pfeG7K4kSMK07IA7Edyw5zWV44v0ii8hAqu8eEVR0B4NYeleeoG0tj2NfSeznWoqTk422s2vyP0DMqdKU1SUU11NvxD4B8JXMPm6Y1xYS/3RL5ifTB/xrtP2LfhM3iP9oDTIb8w3mlaUDf3W043bMbFI93K/gDXH2CzSYXk+55r6v8A+Cc2hrbp4k119yyFobZSR/CAzH+YqXjMXyfVnUcuZpa6vV6677eZ85jsBh6FKVeEOVrt92x7t8avGEPg/wAGvc+cqXMxENuXJwGPVjgHpnP5V8nXXiSdppbOQT4mkZ5HuIwd25gTnPIU8H1r2n9qPXY59Zt/Dsw2Q+UJFl8zGZNyna49MbTmvJda8s6Xs8u2Z4l8tdqeYwHA5JwCOSRz1rvx0ZTnyU5WjBWtb7181Y+64KwFHC5fGpUp3lUd7+XT9Rby2+2Nb6c2HupI9ixpOpVlB7H+8QDj1FYOr30o0ryLaTdJDuRUUMrlck7ckYxyabYXCT7TNeObqHbHbOsHzZB/iYHgrx2q8yzrbJKFtJLu4LSSqw3twwGSuOAc59COa8qtdJypaJ79dNO3W59vTp+xklPXX0V9e/SxYsWj1fwdZme7CeVJs2k8rEQdy4x1BBOT/hWL4qE0Vva20c5cxJl/Kk3c9cEjrgYrY0Ka+QSo9lbLCkB2OFDbs7lZRzzyxOOvHtUcM93pF+lnZXey6iIMMnkqDG5OGQnupBHX6VvilTr4eE9nom/TybW+tv8AgipSdOtLls0m2lfTXzSe19SfwAdNa9a9ikk8pIGimhmz8rspLSqoyNuBjtj0xWhaWWksbEEia6e6jEJgl+URbskuoGQzMc84wAKpaXDMqTXUt8WSNHkkhVlRmyTnZt46c+nOKqWVzrVts1acSJZW8uRlADuwSoJAyT/TNdacIUYqcO/T0u99P+Ac1WnKrUnKE7bLfrrZLTXcdHZQWU15r+Il2aqVtzIu4RoCxBB5BzkCujgjlgD6tYpdPdtAl1NdW7jzBHkDIUkDIODkevpXH2+pXc0Euns0he8IDQF8RyDlgT2GDzj1Na2k+KL/AE2TfcvbyxWsYhW1YcSOG+Ucdl5/D1zWFGpQUVFtqD8tnrf8Pn07DxeGxE1pZy7X3jpZff8ALq+p7f8ABb4wtrE8Oh+Krb7NNM3l2l+DiK5bptb+6xIOOxxXc+O/C8WrWLPDtWZRlGx+n0r5TvXub24a4so4bSK4ZS224By2SxYA/dGSeeMV9M/ALxPdeIvAKnUSz3WnubW4kZcebgAq+foRn3rOvhKGbUHgsUrtK8Zdfk/x16d+v5pxPkiy2UcxwK5Vf3oro31+ezXf7l4z4+0KWMzW1wnzDJxjvmvn74xeE0nilkjiG4c9PzFfcXxY8NrdWjXkEQ3IMnuWr51+IWh+YrAqQADuPoa/OcvrYnKMfLDVtJRf3ro16n0/DuaUsxwvsqnXRo8s/wCCcehMv7TNxJJFkWGjXDqT/CWdE/kSPxr9EtLizpMhGc7h0r4q/Y8059I/aSucLtW50mdD/tYZG/pX3Fo2z+zwhHG4dq6s0is34qc5vT2KS+aa/O5+Z8SZYsqrvDw+G916NszyNgdSOhJXjoMVg6nJkknpXSXqssRaMblKgbe4ANcjrMm3dt5BJFfnvEOGlh5wpdNfu6WfXT/JniU3cybmVVZmx1OBzWe1wdx+ZuvpU943yHqMVktdAMQE4zXnUad0dUbM4DxJbB4DEjEI2Mt33dOK978JQLa+GLK3B2rbQoowOOB3FeJaz+9VcJwJMvtHHGDivbvB9yJ7NDnOFULkdRj/AOtX6FkM+fGU6Te6l+j/AEPuOJ5zlhKS6Jt/kcz4q5vmb5VaIMAYx1JbIOPTrXOXMqxMxZgGyOc9AK6TxBdQP4ue3KgeYdkYZCQ3yl2PHoF6euK5vW1h8kXVu2U37WyOh/HtyK8bMMDVjWnV05btedk7Xt2/rqiMv+GMZLdL8Sm00iyvLlNx6lhnAPU8/WqF7qULOfK/cqOZkVyPtJ9Mjpn3qS5lDSyMGA/2nIwT7j0/xrD1K4jjk+Q73PLMjcAewPSs8NSuz6LD4dTlqh2u6kGCtFDHbKhDx2xjyAR0xuyfzPeue1KS6WA/armSEuPNeFcE5PTOOnFT311cSebIvmea2MSM2fwGelYmsXCea0KySsiEeY28NvP+Fe/Qou59FgsLy2SX6/1+ZDdyCIRAIFZVyqEZKk85Jr0v4DePUUrpOoXimWNQtsSTulAzkHtx+fPtXkN5dqS+5ZGlcbgWb7o+lVINTuLK8jntZ3huEOVdDgrx2r0o4dtXWjWzOrN+HaWcYCeFqrV6p9n39O/kfcunXyXFsWWTcNucjvmiys1MI84b2G4g+leLfB74iQX2ixNfXEEF2zbDE86qZSoGWVevJ7exr1Sz1yPyVkckFhnHt/nNehRzKN19Y0a08t/+GP5gzjJ8XleKlh8TGzT+T80+p0SeXGoAx8vSqmp3yRjH8J7+lYWo+IrWOIuZ1RdpOXOOnauJ8aeN5DavFpirJIy7klkPy46cep/SpxWd0+RxgyMBlOMx01ChDTu9EvV/0x/xm8Wpp2kSWtrL/plyhVVB5UH+L8s4r5V8eazZ2SXCNia7OdkWQWDf0Fdr47/tTU9QMklyS8n8bE5zj3ri7rwoGuN8i73kYksRyTn1rDASpc/tq0t+iP2HJcqo5RhPZU3eb1k/P/JdDzL7Bd31613endI/PoAPQe1b+kaVuYLsAArrz4c8nPyEAdyK0dA0R5btFChRkD7te3iM2i4XWyOuNGCuyr4Y8KeawJQc85Pf8K+rv2UtJTRvAtwse0Ge6d39RhVAx+Vec+E9CENlEEPRM7CuQTxnP4c+1ey/CqFbPw68KhiquxzjpnFfOZbmssTm9GDeid/uPAzyopYZxXdHi/7VVnLZ/FFtRYB0vrFFQY54G0k9sZxXmwYHKgsQBtKLkt+XevUP2mfGNzd+NZfD66ZDPa6WqLJIYQXLMm7hjkj0x04zXldrqZkSRbiAsjYTzocr5Z7Eqe/Havr8b/vUnGXutv7+p+ncNxxCyih7SOqiuvTp87dB9qDHbyNbyRqZBj7QwCD1HDd/1q+Zbya1sL7U7W4tUiTFvcQwuolReMo+OcdO+KYYLG5uhp1lNaRTIfLdnZl3gYG5Q3HIz7+1W3iu4tM+ySztMLRWWESSkJGGHIC9+f5VUJuzjLb8Lr8dP6Z6VWpFtaa+ejs1b01/LoPgto01ibdfStc2xUpFHDkSnaSxOTgbcc9z2FU7i3i1iOTZcMZ5m3KEG4v2Ib0Xn9KzriW+ib7TdP5sUjsilMbSfVeO3H51cjhvFie7st7QLiO8RfvRA8Bv93oc+1c7xVOKdNx9xt/K+3X8fw7v2UoWlz66WeltOm3V/jpfa0nht1TQpbOUEvAMOyPn5XdRjHrgtx7Vc8V/2QlkY7J9RtlvWAK3kX8a7WEaAEj+IfMTkjrjpWa4vNMspxG0ubxC8iOg5GPkbd15LNnp0FW/EL3FhBHZ7YPJn0+B7gNHudJC24jnlf6gL6V30cVCeG5Xulb87fetGZyhzYhTi93ff0v06PVFC9kimtPPnYR3ckmSqgY2gLgY/hHX86u6XFbywb0t4t4VsysfMlkb0C9ASehx61n29wsNwkNzEGhkEqwybMFjghc46kHBxn2pdNuXhv4x4YhuVvyFSQic7lkJCkRgYzlvXOP1rOFS0k3rfS3Xvf8A4ax01KcnBxj9/T59l953Oh+HLPRtMuJPEEd7cXUiRm3gt3GH3cgAfxHGBjOATzzxV3wV8UNT0mSKy0G0itbWCUNLYSuv74E5bMjcgjoPoK4y0sdVbVZPP1O4tp1iaSaWWfEW9WztVmPPJxx1PSq13b3JtZHvf7OW5aQEu5yxBPBBzyPYDNaVXOlGPsYuNr+r+e/6eWh408uoYrmji5Kpe2mtl00je3zvdeVz7I8NaxYeKvC0N/acxXMeVDDlG7qR2IPFeQ/Fvw+ba5k2xhUkPUL0Nc5+zl44n0PxaPDuq3Jki1CcqzYIEE2BsHPZhwPoK9q+JWmLe6TJIDlmGVGOQa+Y4tw7xeEhmMI/vKWkvOPf5f8AAPzKWEq8P5x7K/7uWsX5f8D/AIPU+bfhPjSPj3pEr8G4aW2bPUhkOP1Ar690q6U6Hs5P7wKce/fNfFnxFurrQ9ch1e0G25sJ1mjz6qQQP0r6p+GXimy13wnaaxZzf6PqFus6hTnaf4lPuDkV8rPEywuLpYyTtCcJU2+z1a++/wCB3ceYOVZUMWlo1b5p3/J/gdnf4j0/zXB3g446jtXn2tsxmYAZAPWuzg1KK4gNtG8jPtIXfXGX8NwWZwpKA/Me1ebxbXpY2dCthnzRs7211Vr3a36H5vRi4NqRhajKfIbI57HNZHm+yn6V1F7pN1PDuhtmfb1CkE8+3WsH+z07pID3HH+NeJDD1aUE6kHG+11a52U5x1scNrNwu5gzZVRuVVPBPb3r1v4SXy3ejRMrbGaEFgTn06V4NqrNLI5MwRPmzKeG+iiu6+A/iJYZEsxkBMoA5yWGCRzX2WBgsLXo13spa+j0/rqfqWf5a6mWtw1cdTvfE2nsmurdRPGhfhC5OwORjJx0yCR+Oaw/FdibPwykBKvIJS8hRwwB5BUHvgjrXY6yu6CORWVxv3/NgjGSce3Ga5bx7ASXVcrFtLjBzjDAEn8CDXfmtH2VOqoxunqu6T1a7Wur9/kz5PLq8pVKcW9v0PP7xgyyH5cMPmxxXO31wY53ljDMVBCtn7v610WusYUnQhoyTkpjBBrjb2Z/uqoJY/MR/jXk5fS5rs/SMvp86v0KmpS3M84aaf5n6ljg46msbUjGFSCKSRsEZO0Yq/cywtI23eNijJ3cVlXpcRtiGTc/cA8Cvo6FK1j6jCwtZFC4l2swU4GMEnqaoNNyQBge57VNfB40O+GRdxyWZSOKy7qcBTt7nt3r0IU9dD6ChSTWhPJcFW3hwGH3TnkVpaJ4u8W3Guadoln4n1G3S8uYrYFLhhtDOBnn61yt7dbVJPasJNeGm+J9O1A8raXkUxHrtcH+ld1PBOrF2V3Z29ThzyWFpYSXtoqT6XSdvvPurVLMNPFGqh24VWcZJOe/vUHizTQLSBroKFGAHQDIG75iPfkVqabLDdxJdRsu2SLzYn6/Q/Tmp7qVDZvBNLBPHLIq4UY2qMZP+f6V+X5VGn9Xm6rtL8Pn13Pwh1ZwlGK6f1oeZeJNJh85ZElE+5PM3gDuT/nBrndS0YF9sYPBzlc9PrXqeo6Wlxdv5J3oFXaQoGVA4Le/SoofDsbSDfGceoHSk8xVGbSZ1LHKEVzHmEWhtKcMrbsd+Sa3vDvhd4Jkae3KjsO7e1d/D4eitb0h4gY2XI4wSD/9etTTLJbSZp5o1SRUxH5oPTnpjvVSx8ptwk+VdfL+uhy1czdvcMLS7cjCoNuxcE5/MY9K7bwRI8SSQ7SVc4JB6f5xXMiMLMWx16k1r+HrwwX4GVGeoPevPyvHvD5lRrXsk/wOXFxdWi0jwz9oiCSL45XH25JEsZmhLvHxujZQMg+2Dk+1edXt05uC0MiDyQycYPrnkcHPr3r339sGyH9k6RqUNvG2x5IZpCg8zbjcoVj0/ir56urmF7mINABE8arJ8ighhwSP/r+tfs2JfJOST3d9PP8ARH69wlXWLyqhU5fhjy/+A6fe9x4M0o8w7p2jVTIIx0XgAkjv0FakGrS20bBZLhVdSHt2JypxgHOPep9AjS3/AHWm3FukjkeY91GEUDBOM5JLZHYDqKyLi3trq+k8zMSoTI++TaX9gfXJ/H1rOpQUIqSlq9/6/M9tunWk4yWi/rb8jTnuBb3xtLy0QqSQQpAkweh5wPceteofs5xac+tvcxXFrctHbMj2Uo8uSZSMBQG4I/rXkNw0Elz5jXTxxjCIXQs7gZwcDqa6n4ceMdO8J+IItQg0drkj5EmvJseUDwSFAP05PGazw/s4YlS2jf8AA8fOsDVxGXzpUU3NrZaJ/f8Ao7nQfGb4meFYfGEVh/wiYvhaOBeBptkhwMBFK8KBgetUNf0m68V6CvijQdInh024nZZIWjBeNl5w+D6Ywc4xivWfhh4F8FeK/Elx4uuobO8tt3mR2+3H7484Y/xbf14rftNCu4vGWo2+mW1suiOCt9YKNrRsR8jqOnIByfr7V6Ky2vUp807e/Jr3bX9dFt5b2uz4l8Q4DAclDCU5KpSiuZzk7PvFJvR9nprZHyde3EduWt47BJPkXNxIzL/GCduO3YH0NWE8Q3z39uQHNyshRLcLgRcFUAxg8bj1PWtj41+H9I8M+Lruxtr6eeMIGSN49hiTjaAe+B7DgVzTSWzJaYt0iWaDHnLckEMC2WkPYkjt2xXJTqVqTcIvWPp0ff8AzP0rDToYvDQrRi2pK6v5rz/T5GrqP2jTtSuNP1Xa5sXEbsFMigjnrxnk1BdX9vdQRrHDHHPCrCQtCSOoIZcc5xnOeBiql1d211cSLbSslqmGYPKvzYUDPPLN26c5ot9U8iIpbW7pnP7zcA3Ix1x71lWrtTlFfDr56X+V/UqOHlyxbXvaeS2/XtqSQuBqAeyMzXKP5we4fLiQDOfz5H0FfZ3hTUJfEHw6sb64iBmubRHdOh3EDP65r460nVoLfUYzc6TASGy25WJ3Z4JOeOa+mvgl47h8TaZcaWPs8F9YnYFTO1o+zYP4g1VCUJ0qsKj0mmrW3/S5+f8AiBha1XDUqsaf8N3cuydl06Xt6HjH7R2l/Zr64QLgNlh+NZf7HPxTtdF1yT4d6/P5Ud5cGXSJnOFEh+9CfTd1X3yO9emftU6Sr2a3KqNwG1sCvh34wCS0uGlido5I3DI6NhlYHIII6HPNfOZPk9HNcJUyvEO2tk+qa2f+fdXRxYrEwxHDPtpq/Kr/AHH6g2VzHBnIOH/iHUcevoabZ2s1wvnh96Ip2gpnkDOAO57/AJ18w/sW/tCP4305PBvi+5jXxDaRD7LdMcf2jGOuf+mg746jn1r6P0/VxCsc8Plh4iQGxknPr2NfCzwNfI8y+pZpF8sNrdU2tV3VldX66Np7fl9aCrU1Vou6Z0mmaBp13bpPdvHOjRb8w5UxP2BA9efTpULeH9PZiyWl0FPIHmL0/E1Xi1/RU06KGC5lt7psIzjIEOPp1HNWx4n8MKNr3ibl4P8Ao3ev1DCVeH6lCEZukmkm3zR1bW15a6db3te19LLyJU6yezPje6uwi5ctNJk7FI+UD+tQeFPEL6R4khuZpiqTfLIc/cOflOfY1R1e7UPGRvJACkdC3+A61zeszGWd2dkVU5UD615VHCqrBxktGf1ph8BCtTcJrRo+y/AmsQ6xpkZeUrJGoEu0DLjBHX/Gq+vq8kuow7v+PYqYMHOTtO5PyHSvnX9nr4kR2utQ6Dqdxt+bEEjPjzFH8H1x+dfSuhafb665ubVikLXImZg5JZgpGFPpyD+dY45ulhvY1/ii/nJNNKy+75o/Hc5yr+yMbNyfudH03/U89Gh3+tTNHpkZkBA3M/yqueoz9a6DQ/gdFORNq128oOCYoV2L+fWvXdG0fTtMsvMdIreCEcl8BVHr6Vj698RtMsbprXS7Jr5lx+93bY/z6mubC5R9Xoe3zPEexjLaMfif4N/cvmeTLiXM8RJ0svi0l10/F7IzdD+E3h2ytwItLto5M5JKeZj8TWhP4BsjGVSNABjG0Y+tUNZ+Jt41i8dhYxQ3KYLOx3rjvtHr0rCsPHvir7Wxa+jkBJIR4Fx9OKzxK4Ui4q9So/5rv8bta/I440M+rp1alSz85Nv9fzLeufDx3DKsfmLjo6Ar9K8y8d/CnR5gzXWirExJHmwDYfrxXsumfESSWTbe6VlWwC0Jy3XBODXXvb6fqtkJEEckb9D/ADFPBZNQxLlPKMW+Za8srp/pp56m9DiHNsqqRdW6XdP/ACPgjx38Hr+JHk0G983GSIbjgn2DCvBPiDpWtaHfG11iwntHOQpdflf6N0Nfpz4y+HsMu6XTiEkySVI+WvGfiR4ZsbuCfSNe0yKdHyrRzICD7j0+or1cv4jx+V4hUswpcy79fk9n/Wx9hLPnn+GdJVLTtv1+a/yE/Z18SHW/g/4fvknEj/YlhlJwT5kY2MD+I/Wu5iMlzKA5BVeMe1eKfB/Srf4etfaLa3TNo93cfabRJWy9tIQAyZ7qcAjPPWvW9E1JZiGX5lOMkV8TnmHhDF1Z4Z/u5NtdNHrb1Wz9DkqYHEUqSlVj71tbbX8vX7zptNt1Vgu0gCtiO1Rk4AyPyrN0qRJUHOSvHBrbiBCZz2r5Kcnz6nzOKk+Ypy24Q7l4x0I6iq9wNqcnvuJPWtGc5XpWXqcgWBvmoTleyehFFczSMu9mCzHJGPas9NS23SuhxsbPr+FQalPksckZHGTVG0ZQm5wME16lKiuW7Po6OFioXZ3/AIz0iHxj8Np7CEZuZIi1tJ3SReVP9Pxr5P1DQ9R065MWo2rxXVtLte3nBXb1wSemBj9a+pvhhrcImOnSNtbd8nuO1eZfttwXo1fRbqITC1aOSMhOEEmRycdyCPwr9jyzEQxuUwxHN78EotW7Ws/1PR4Px1fB5m8ra9ybbTfSyb09V6dzxxIEkhJgaZ2dySkcYIBxk4PpVK4v3S3WOAeWijnHMh9ck/yqaBp4YkW2uvLkU4RgSqnvkE/gKhiuRHIoun85VyAijAz6nNPlvr/wx+swjq21f+vQitEubiNC0f7pWIMrZAB4zkj8KvJbR/a7eSKFYVmYKyvJuHTBY+gPWk0aQ30V3KdltbsMBgdqhicAYHv3pJiqQExXSMkbYGRliMcn6A8fjXS48sU7b/p+gpyk5uO339f1PRdF+IMvh3S9J0SzspVsbSZJTLDJh7sAEEYHTc2PwxWbefGbx3Y+M3kttScWd1Ki3cLQq5ZeBjdjO4Dgc9a4TUZ7m4vLkyI6teuGt2CkewA9PlI/SrUeoXVskirL+5utkbMQCJMAMR+ew568ChycK3MpNJX/ACsv66J/f5MchwCbnUoxnKS1vre7u3rfW9/munTovirrT634xlnmgnmtN6JE9zt8xFPTJ6++Ogrmtc0m40+RFnIkM+dsS/fCg4G4DoT2q5JqKfZpbBD9rlYMgdhgFAc8Zyc1h2lxK10jR53g9CxzXO1BK28vXz/HQ9DAYedGlGEFaMVa3fTR+X3ajpok2kCELgYOTnH+BqS4EjCNlIPyYZSOfyqQR299M4ad4bhn/wCWnMcnrls8UXWn3lmq3MwIRZNoIbds9OfT3rNs7eeN0m7PzCN5xBJJbh1R0Kk53elej/syakLP4p6ZGvyC4hktrhg2TK5y4Y/kB+FeeLPIXVkwqgZ5JBPvx3ruP2fElu/inpvkeQfJDu4K4bG0/nipjWcJJ7/8OeLn0IzyvEKa05Zfkz3f9oix+1+Ep5ME7FDKM8H3r8+v2iI/JkKkYLuMf5/Cv0T+KgLeD7iKUEnyG2+nSvzk/aSuxJ4kFoDxGSa14WbqcQ1lHa9/wPxj6x7PhTExl6L56HnFjcXFpdQ3VrPJBPC4eOWJyrow6EEcg19IfBX9qrWNPubXSfH0IvbMqI21SBcTp6NIo4f3IwfrXzWo+X8aeRhga/Ss4yLL83o+yxlNS7PqvR/0u6Py7CYuth/genVdGfobpHjfRtagkv8AQtXt9St5BlXt5dxX6r1H4is9/EWqbztL4zxXwnpWp6hpN7HeaXf3FlcxnKyQSFHB/DrXcxfGr4gLGqnU4HKgAs9ohLe5461+a4jw2qUp/wCzTjKL/m0a+5NP8PQ+jpZnSl8as/vPYdUYs5kzyD0xj8K5rXiVGzOd+Tn8K6zVoVO6UKiq5yI1z8o6iuL8WTrDls5BGME8ZrDAe9JJH9TwrqFK6G/CbwdfeP8A4naf4etHkjRn826uI+sEK8u49+w9yK/RnwfpFlouhIhXy7WxgCpu5Koo6k9SeOtfOn/BO/wjbf8ACL6l4tnU+fqdz9mgPdYYzz+bn/x0V738TfEy6PAmj26QyvPGRMr9FUjAB+tc2NqUp4yWOxLvSw/uxW96j3uvLb5Nn4Txhj6uZZp9So6qO/6v9P8AhzhfGniu58TXjxs5SxRiIYEJwy+reprNsrZA4ljAby1HHP5Ef1rS0yK0lUxLEkLNzyB8v+6f8moWtY0uQguFjkGceY2Mj0+lfnGLxtXF1XVqycpP+vuOik6VGHsaUeVLp/X5iLGquZEU4wwAxxyOlNtUQxiVcBtw6nqPUVIsTrdZITKHduU5GByfwxTo8iTy4FTEpwuT93J5GfrXHawOWhHKzRTRTRx4UnIQn8TmpVvbqOTy47maERthtjng5yTVi/iidhbxsZGTG+TGAMdh7VmAeZfum/DLn8TVR5oydt1/XQmHLUjdo67wb43u4pxBqm64tcHEwXLpzx9Rit/xl4a0jxRoDT2qxSPIpeKWLH3sdz/OvP7uZ4IkgmwnlgKFQBcE+/r71ueAfEi6dffZpAXt7lwHZSCqk9+OPyr63LM7jUX1PH+9Teik94vvf8PL8DxsXgZwl9awa5ZLWy2f9f13PDfiNos2j6nJp92m19xxgcOOcEVzuheM5dB1VbK+f9xIdscjcYPofevpf49eFIdc8PPcwqFuYkzC6jGT/d/GvjT4g2Rnt7mykJR1yAe6OP8AA16OHwlKdaeErapdfJ7NH6jwrjqWd4FxqRvJaNefdep9HeFfE8E/lFJch+nPFeg6depJbqQchq+C/hV8ULuxu/7I1OcxzW0hTJPcH9RX0z8PfiHDd2aZlVmA52ng187xDwpicDUulp+aPnMyySniqKxOCfNHW/dNdGujWzR7E7qy5AOPasLW5f3LqvXFVtN1yG4GFl2bjkEtwM1B4ouYoz5kMoeNuQc9Pb3r5inhZp3fQ+ew+EnTrKMkYGoyM2ePpVZ5GVATnaOTUOpanDG7M2OKxdU8UxRW5jj67cfWvco4apNJRifX0MJWmkoxK2r+O4vDOsQalI2IoXHmZH8JPOPcdfwr2TU4tG+JXgJYZikwdFmgfuD/AAuPQHP618p/Eu5fVbJ03CLjg4ya6P8AZT+LV3oWvp4X8TywG3ufls5g2Of+eZzwMnBHvkd6++ymhLCUfax+F6TX93uvOO78i+IMlrQp0sTho2qQV7ryIPGWn3fhzVLiS9WOC4tpTBawqwPkY53dOeCMH1JPWuRkeGaB/kVpnjyCSRgg5/EkV9O/GrwLbeOdJGsaJHGNQWA7RJj94MfdPow7GvmzUrK40+6aK6tCtxGxV1k6jjbgj1FerVnZpc14vZ9H5n1vDOcUcww19qq+JbNW/QfZQ7PDtrHFKr/2gSkidoZA/AA/3dp/E1PdXGjG7NobaeSK0iEdv5aD53ByzSdyD8xwOnHYVZnstJ0zw5FeWYae/uEzJKZcrExHKqoA59Sc1l280dlpwe4cSXFwpy6jPkIf4c93P6Djua6IzvUvdWSV+vT9W726P0PZi1VcpK+7t0d+/olpfr8ybWrm6uL7/TUDySL5mCRhS6jJ4+g4+lULid30m2tlAaOOeRxgcknb1PpgCopPP85kkYgjGQ7cdMfyoKwG2jMjsIo2Y7kPJPYZ7cmuadSUqj1eu9zsp0owjFdu3oyxb3MmnnyjbxmVsFjIMke49OtV8qYWZY9xL5LbuQMfd/rVct5shaRs89V4wO1X9N1BNJvYpbYrOHQCdZFyrA5BH0x3680rtvfY0lBxTcVeT/EqQnNvv4UZ+YE8PVjTb+8tkktYZlEMgw8Mo3Iw9v8A61L4iWzivWNrHsjdcrEH3iPOCBnvgHHrVFiz4VFGahxKio1YXa0fc6L7VpF3GiCRLO5UAbmUiN/XJ7fWvdP2bPAi2Gor4nn2s8tuy23lsrRtuxk5HHbj6mvmwo+BISu/0Br6v/ZGhubX4VRJdFsT3Mk0QYHhMgflkGpo06aqLmkfCcdyqYTKG6M9JPlafVO97P5G98abxbHwReSykJGtucmvy/8AiTqba343vJ48yAymOJVGS3PQV+j37ReieKfHGlHwl4STNxqbiOe7l4hsYR953I7+ijkmpv2ef2YvAvwwtYbxbVNY17GZtXvYgzhu/lKciMfTn1NcGScQ4XKquKxnK6lScrQiuy0u3tFX9X5H4vmc0srpYRzS5pc0u9lolb1u9eyPiT4S/stfFbxvaQ30mmRaBp82GS41VjG7L6rEMv8AmBX0Z8PP2NPAWjwRzeJby98RXigFg7G3twfQIpyR9Wr6zh0uNRnPb+I8fhTjY/PjCOGODhen415OacVcV5npGp7GD6QWvleV+b1s13seFRWEo/DG/m9f+AeIWXwU8E6ZB5Ol+F9Ls1A4aO2Xd+ZBJqu3wd0JmLfYYOTn/Vr/AIV7hNZpGrIQRIOBk8Ee1VGiVWKmBMg4718bWnm1KV6td3fe7d+z8z1KeYTtaLPinXDHFbtg7WiUkqy/e9x/hXlceka3408UHR9DhMjA5llORHAn95j/AE713niHUpNY1GLRdK3S3l9II41UZ2g/0Aya9q+G/grTPCehJZ2MILt888rDLzOerN/Qdq/QZ5qsooc7V6kvhT6eb/TufrPGPEf9k4FUYP8AeS/Bf1seqfsx+F7Twl8MdJ0WGQym0txvmYAGV2JdjgdOW6VneM9RTUPE17i2Zwsnlg7QGcLwefwrt/hyV/siBVQBfLA7dh6VyPi7SrGDxRemO5hMhYyFGySueegrwcXKrPI6dWX2qknLo3J3d/PqfmWWV41MbUqVLuTV/wAVcpWGnRzpILGN5ON22T5WAqDyGjtWjnAdCcgDDGM/Xr+FETuZoYl1CKAAj5ihBHPXpzSmKYzsHvoWI6KpUlj6knAr51xjOmnBe9qvL/P/AD/A968lJ80vzuQ/Z7mOISJ88DZAlUcDjof8KuabE81vmNMG2bcygfwkf4/zrY8H2uL4xapNCmnj5pUSVWDHHt3rvtH0jSrKM3WnwPEk45D8kr6fSvfybhivmS5vaKEV8V/iXml1V9N0eVj83jQ9xxu+jW3z87Hisd5cPEWyAs0mE7MQOvP1qurOs7x26+ZM5yzHpGOw969Z8Y+EtP1WNJLF44J40YRxBSEI9yO+ea4O507TLJntpr8m5hz5qxHCg59Tj9K580yDF5ZV/eJOD2kmrP08/J69TvwWa4fEQvCLT6q35+X6k2gyQi3S0u3DyKOVZxvPPv70+40WSRjIDGFzwoBGD9PWm6Vp2n3FvcXVnZP+6X/j4uZxgY7gAZ/DH41VnN1ax73nldJCDlpcgEivLxdCrCEanSSdt/S/Tt6E/FVfs5WfVP8A4f8A4J6ppSC68MQpMweRYwrMoB5FfHX7T/hl9C8cTTLF5dvqDNNGAMAHPIHtX0z8LNUP2ufTGMrrKnmbiflBHXFea/tr6R5nhiO/WM7rObO4D+FuDk/lX29LHxr0MJiIxs/4cvXpf1sn8zr4JxFTLeIVQk/dqafft+J8A/Fi1Nl4sNzDlPPQPkcfMOM/yrc+F/xC1HSpljumaSNeFdeo+o71B8Zowfssvfcw/SuR0I/vwDX63RoUcdlMVWjeyt9xhxHi8XkXF2JWEnaM2pNdHzJN3Xq35n1l4E+JNpeIphvYyy43KGwQfQjtXYv4pMsWGYYI4ya+LtQkaC6SSJ2RyM7kOCPyrpPAuo+PNY1a30Xw9d3d3POcJEx3qo7sSegHc18NjuC6Dj7eFRRjv72lvmezhuJ8JiKvJXw75/7uv4O35s+jNc12BAzu4I68mudWDxR4icroWlSvGxx9olPlxj33Hr+FehfCv4RGws4brxVdjVdSIDNlcQxH0VO+PU/pXp9vo8EUW1VACcY9P8BXwWIzvB4Kbhh1ztdXe3yW7/A+jq8SYTCx5cPC8u76fJf5nztL8H/FN/HnUfEsEJIyUhhL4/EkVz/iT9nzUbpRnxRPkchUtwMn654r6oksUDlCVXB4AHUVX1Sxj8mWSNN8cX+sIHQHoSD0ow3GGZ05p05JekY/5Hj4nO5Y6LpYjWL6ar8mjzn4JeLfEngiztdA8WX32yCJgsWoSxYLoONr8n5v9rv39a9W13wr4S8bI2otZQ3DMNpdG2P+P0rgdYFpJBMlxEkiggbWGQ3XtWbour3fh6QPpF1MlupA8gHIj9lJ6DnpXq4LOJu/tIXi3drS1+8ei9Nn5DrZaqtq2BbpVVpo3Z/O97+rZmftB+CR4cNnPotiws0iKTFST5ZLcE55yc9a8kaRpDsdPLQD06/hX1jZeKPDHi/SzYawyrKw8t0lGA2eOfQmvMPih8KIrRWvdLu1aNB8lqy4Zxnqp/xr3/b0XepSa5fua8mj6ThziT2MFgsxTjUW0nfX5/0jx23LuMCT7oJZS2M564ph+SyljDbhuDY9R6fpWlq+j3enY8yNYy5wwcEFB2J/+tVKS3YWcrxRnCY3FR+prRTi9Uz7+FWnNKUXoymjgKWAOCMY7gUIkjkMvzBeevSn7HlGVQJx09abBbvvYgnleQDWl0dV1Zl5kR4PN4+QBWU9fY/0qKRgZ8RnDenYe4rqfhD4Xm17X4rOazklhlRlmdONikEA5+uK9ItvgHFHegTaw7xZGVEADgenJP6Vhzb2Vz5vHcQ5dl9Z0cRUs7XXX8v1POvhp4NvvFuuwRrbSCz35nul4WMDr+PtX134R0pdO0a20qx2hLeERRlRwq+v1rC8O2uheHLC00DTrQJtGI4AoJkb/aPcn3r0bQbMQ2+9gA7nLccfhXzuZ5lyN0qMrzenouvzPxbjDiarmUo3jy01flXfzf8AVizpViltaiNFVQeen3j6mr6KHBAUAY703ICZ6fhT1LLH5gAwQVHt/nNcmBw8IyUd9NfT+v66n5rUnKbuyeKD94q7SQoBxn19anFufLIZw0Y4CooGfXNLFKiou1Tnbkcde2PrUF3eyMWjhgLlSB8pBIJ7Yr9IoYfA4WjzS1b6K/bbTfTo9Oumpye/J2Qy9ggezlXaZArZBQ4IPoKyZJZFkZRLkAkAkg5q3fzXFvZLhlQruJxwB9fzrn3kj3nDIeeuw818XxPmFLD1IKMeWdlfVR03Xm7Xa12t5no4Wi5Rd9UfMvwf+FX/AAi+vy6rf3Ud7eKhjUxodsIJ5wT3OPyr1pNP8oGSWByhX7p+UKwxxnvXVjwdBaMsqtIWaPLArn5sc/hWRq8U1pM0Mm1XUKw2qdsgGcH2PH44rj4kynGU8XUxGJhaN7R1TVlt9/bvfrZHFxDnlbHVHVqSu2bnw2kiFvtjQg5IORyeeAfzrkfiHPd2/jDULZ1RIpXDg7AGYEDGG6/hWx4NuJYb4K5CFj5oUOAAD3b9K0/ivpPnaVFrcMCzTWw2MMZG09/w/rXHhVVxGSTpQTvRlzPzi73/AD18kz6Dh3GQ5qVSevPHl+a/4b8Tz+zaecKYkJxgFjH0/GtG306CG3k86VpJk+Zgx469iaqia9CozgpbqdyIW2h2+g5NKrF0ZnZ1EhzK+O/oBXzE5RUOVo+ynzy2dl5F6UebGBaRrvwCwzgLx3Jru/CWv2UdrBphnaaXy22FQFRcdRXnyKXgMUJMcbk5LjBY/Wq9o7RTTSxDbIIyrEnnkY6V6GRZ1VynFOvTSd9H6XTa7f5Hn4rAQxVPkk9tv+CemeKPFen6Vo5nhlW9uGcI4jfhCfp24rzPVJrSe6a5SNrYS/MWQFkyeeQeRzUcEqOyxuP3LZRv931+oODTIpmieKCTbtydrZ6j/CunOuIMXm84yqpKMdorp3d99TbAZbTwaahdye78vTbQuyvdvYKTm5tgeTHJ8o9OB/WpLeezVB9nhWNZMLIFU4B9SpJxVKMPFcsIXaI7dwKt94H27/SnLeMJSDGC+CC4+Qn2PavHeJqctnqn9+nY6ZUrqy/y+/p/Wx1vgmS1TWLVLMqzFjltuCV281g/tbxq/wAM9Tbdx5XUNxwR1ra+FMcEt9cXZDiWFAgRx0B5yPriuW/a21CCP4e30fA3RBBk4ySw7d6+uwN45RHmtedWLS9Glp9zucGWU2+I8PGN21KP53PgD4zECK0j4yZGP6VxOjNi5GfSum+MN4s3iCC1U58mMs31P/6q5XTTtuBxX7plVNxy2KfVN/iY+IGKjX4rruL0i4x+aik/xudLaaVe65rdhpml27XF3dyeVFGo+8T/AE75r7f/AGefhTpfw/8ADiKypPqdwoN3d7eWP91fRR/9evM/2Hvh+DanxvqEGZZ90Onhl+5GPvOPqRgH0B9a+nrS2IKoAwzxX4hx5xNUr1f7MoS9yHxW6vt6L8/kbUqccLT5vtSWvku3+f3BY26eYoYADqQOuKty27AAWsDF+rDO4kH/AGR04981Y062jI37Q4iCl89PvYx754rqLfT0t4pCqK8xBYgcADsB6Yrw+HuHK2ZQclot27XdvL5p7efoeZisaqcu5xbWjHY94SFYcPs3hVx0OPukH+dYOr2ht5ZQ07GILtm5KsUPOD3I9x613niKK2+y5ilInaItGxY8ZGTuHccfpXn/AIxu4bm23KzwQi1EiJI+4nOAQM89R0rbM8m+ovlTTffdu618tP16629DLKs601bRHF+L0jjncgkiUBkIGM54FcpNMVnmXa3y4H3u/wBK6XXLoSxxM2WWJAoQZxtXoM+9cvqAKXrTS4CdDg8AEf4itcDH3LM/Ssui1TUZGP4shvbcvfadcyW93GMoQ3BYY4PYj61meD/2gIbHVZNH8Z2bW86kDzypkh6cHHJX9RWnfztc2yQBGkLv8iAZZvbA+lcZ4o+CXi7xTq6alZaJcRJINr+biP1w3JFfR4FZe4unmDUV0lezX+fo7nVm9NPApyceaL62V11S2fn957d4X8T+EPEkC/ZJLG4DAt8riVRnttP9a6TSLHw7eefZJb6c8ci7WDIEJHU9q+Wh+zb8WLaQvaWdtHs+aOaG+VGX1zzkVFqHgr9pvwlB51nb6ndQxqeI54rrK/Qksa1w+X5f7VLCZhT9JSSv5XV/yPjMdjYUYc0eZ/4GpNP0umfSWpfCnwTc3R+xuVycOsc4Kqfx6dasWXw58CaE0byQB5g42tLNv6+3SvjW8+MfxU0S+e31eFbS5DAlLuwaFgR7ZFMuPjx8Qp1Lrd2ULn+NLbJH0ySK+l/1bzWcXyRptPrzNr8jz58Zw5fZzxVWy3TVn+Z94jWvC+lKVtZoInRTlYlCg/j615v8Tv2l/CPhgSWg1AXdxHx5NmvmOT6EjhfxNfGHiHxz4u8Qwn+19fvJ1J/1Yfy0P/AVwDXO34xAprvw3B9ab/2ytZP7NPRfe9fwR89jM+oKm54em5O17z1/Bf5n6J/sT+Ktb+KMmq+OdR0+Ow0iC4NnpdsPnd2ABkld/wAVUAADk9a+l4ImWMMoIHt714/+xF4WHhf9nHwvpzIRNPYi7lx3eYmQ5/76A/Cva0DrBuAAz6mvz3B5XhcbjMVUorlpxbUEu0bq9+t7J6u7ueJmOKq1Zr2rvJJJ/r+NysQCvCnjqR1pPOAyuCAykYH8RHtTJzg79xAyACO3qKqyMRIWyVB6ZX06V5ssQ8NP3V67bf8AB/XrscsYcxak1NVQJ5RdsfdPQ98n0qJ72dbczCSJNzk8r8wHtVT7XJxl1y4BYMMAf59Kp3kokCgtGCWwdvGOePwqp8QVlS5lVbdtFpG3bVO7/wCH6nRDDRva36jNXvZJnKlnPGCXPX3qskzhAPscbcdT1P60sjxJNtk3MADgB85xVRrpdx4x7E818RicVOVeVerUvJ+n6pnowglFJI7G9XeSvsRXHeMrWC5vrhNxDJaAvzkgljtP0GD+ddX5sU1r5+dySIW4OcgjtXH/ABJuPK0maW1JR9pt4+MF3PA59Bmv6U4ko0q+ClzpNb+qs9v68j87xCTjc4G01OK31iJU42EBovvs3tj3r13w3fQanppidg8UsYBUehHp6189eMb9YtX8u2j8pX2hmZsHK8HB9OM/jW/8LPHkemauNOuHXyJZdqyk8Kf6Zr8byyrLLMTz2vB6S816fodOQY9RbwlR6N3i+z/4P5nV+KPBtxossk/2pXtZH2wl5ACSexJ6e5rLEj+X5MwVRC2MKcL+A6n616rdR2XiXQ5bOUxvuGUI52Njg15smj6joerPBeWSMFBYEj924HcHvmln2T0aDjisHrQqbPdJ9v8AL7uh+q5fmEq9OUK7/eR6bX8/8yOICUY5YlcLgdB2/Os+d5DOX4w/7vPfPHX9Ks3dzIFyPlJbgDgr/hxTZlWK2+cESlSxyc5OQP5V8jGLirW3PVp+7q+pTUxpG5RTsRgpI75HWkaNjYsiRufKbcp68elPtZI2hlIXIJ6fTjH5VLb3SpLtbaitySWKjFaX6WOhuSei2KtrNJuYSFuPuc8gde1LKxmh+fLBVO5vb1qO5Um6eMJnkMrjkMKv+G9JudYv2hhykQTmUrx16VpGnKpJRgtXsVUlCnH2knZI6P4TW/2Swur0Nv8AOcLkHrtz/jXiv7a3iyK301NOMyBHbzXyOUVff6/yr3XxTfWPhfwqIEKR+RHgMSBjjkn9TX51/tY/EUeKfGV1a2UuYFbYxXgbR0H1J5P1r9B4cyuvjcfSwSd4Uvek+zfT1X6HJlONo4KpWz3EL3YfAn9qe0F+r7JNnl+tXzahrc16/WVyQPQdh+VW/BGl3OueLtP0W1H76/ukgT2LMBn8OtYyH51Oa9o/YX0BdZ+O0N3MhaPSraS4+jnCL/6ET+Ffs+cYqGXZXWrraEHb5LT8bH57gp1MfmSnVd5SlzSffq/1Puf4e6FaaH4ZstLskCwWcCQwjHZRjP8An1rdVT5nygfQ1b0awzYM7K2AMJt659f6Vn6rcJBOVycnIyOPxr+ScRhcS+XEVdp6/jufVyquvWklqzR0m6trW8eO7mEDLKDuPIYA/dP9PpWjruvSJqajSraO7LAM2+fYBkYB5rhta1GY4Ow+aRgvGcs/+NczqetTQRNGp25bLleCx7Z+lfWZRnuIweGeGoLS6aa+Lrprddd7feb0sk+szU3v26fhZ/ibvjDxJcvLPbMkUL3IVZvKPz7Qfu57CuG1jUDJNI+5kUg+Wg+YqKimvZriSbgFmT942OntntVC5JGFYDBXbgexo/eVp81Z3fn9/wCbufaYDLqeHSikM1CaSVxHEruUUgEnOD9B1PWum8E/C+71ZIbjW3kghJ3i3z8756Z/uj2610fwe8GC5MGrXcTZdcwoy4xz978sY/OvX7W1s9JsjPPMscSDl3rqwuGxmNbhhnyUo/FN2+drtfN9DxM74oeFbw2D+Lq+t+yOT8OfD3RtIiCWtpDEepkRctn6nmt/T/DFsVBlBLZPGetYXiXxzP8AbPI0pYliKEpI3LSH2Haua1DXtb2wXi6hcZzllD4B+mPyrCrLh+hifglWtu29H97d9uyR8ysLmmL9+rUs5d3dnqEGh2dvGw8pQW6k81HLoljcKI8J1ywQjivNNX8SX1+kNzc3c6FY1AVG4LA9SKoRX9157XL3DhjkMVYjn14/lXTWzjJk+Slgk4LTVpP8ExU8kxduaVWz+e52HjP4aaD4k0+ey17R7LU7Z1YGG5iDD8CeR9RXyv8AHD9jm3W1e++H9w1nccsdOu5C0LeyOeVPpnI+lfSdn4l1bTZFjNy9zF5YaRJh97ntnmu38M6xpPiO1dIyEmjGZIW6ge3qK7eH8a1WUcorSoy35JO8ZfJ6bej7IxxVLEUad8RFVId+36r5H5E+KvDWu+E9Yl0XxFpdxp19CfmimXGR6qejD3HFZ0cQubq1tz0mmRPzIFfqZ+0D8IPDfxE8PyafqenpIUUmGWJQs0LnoyP2+nQ1+dvxl+Gmu/C34g2mnayPMtTdI9reIPkmQODz6MB1Wv1nJ+JVjKksJiY8ldXsl8MrbuL8uqeq89zzauCg6PtaDvDS6e616915/efqL4F8uw0CzsoEGyCBI1UDooUAYrtJSqWagodgwv4etcD4HuEudMt3RiweJSMHrxwa7S5nMmmGMnBXA4PB6c1+QcGYqccDiVN3aTt663Xz0ObM6TWIt5lO+cKmC7L3BA4Pes+aTCsTkkgEqF4NWNQds4AB2cdOuewqjO2EwGBZWyB1yff0rwM2qt1ppdP6fXpqvNd7oujDREF1Nhm6sR33cetUp5SFYgKMHHIyQfapbrnIyCAegGAKozynIPmZOcAhc/nXyVWpOUnc9GnFJEd1MS7h+BtP3az/ALQx5yB9VFOvJvl/dgjcSBg9BWS82HIMBPPXB5pwg5HTCJ3fgXVodR8N200JLB48jjBUHpmsP4kWpl8tluTDMIG3Rk5ADAJkjvg5OfauT+F2v/2YX0+aR2hiywT+6p69fT+tdV431G2PhZri3m/0gZW2EyZ82Qn5VJ7rnA9CD71/SOXZjQzPJuST96K176dT8rVWMqbieFfEW8B1W+uYoNkayfZ3Kj7hH3QvsV/ka4w3oklWCBmAH+sLYGPUk5rS+Kmpx2et3Om28jyKlyf3gH3gVDAfRc4HtXnLa5bRgIT+9JLSMx+UDPH0r5GOBlKcmlrf+ux5tOL53Y+gfg18Yv7CuItM12RmsydqXJ+Yr2Ac/wB3+VfQ1pfaR4o0gKJY57eZcqyNkH0ZSK/PO48WwElZZ40Vsbl4AxXU+AvjldeDSqaXfRNB5mWtpiTEQPTHIJ56VrSwWOw0eWhDmpy+KD2d97Po/LZn2WBzRuMY4i91tJb/AD7+u59i6p8PVEMrafOWZ8FVlONpHvWB4u8Oalp1lEpj3lo8SOvIzxnn1zXLfDX9p3wfq1ukOuXh0q4OMtNloiT6PjgfUCvXvD3jLQtfsvP07UrS5i6sYZlkBH1Un0rzMRlGTVU01KhUeyltf56P5P0Pr6GZY6Fp6TijymC3MFs4SX5pGDkYIxg+/wCNPubSW8cC1glZwQjDrnvkGvT7u80SaMvNDa7FP3nUcCqd7relWKN5AgXAG0KADzXz9XKaFJe0eJjy+Su/u/4J68M3rTd40nzGZ4X8I250mN9ZUiRJC0QV8EL2BrS1m/sdD09ooEjjUfdA4OfWuL+IHxW0HQ7eX7ZfIjKOIgdzk46BRya+b/jD8V/F3jMvZaJb3Gm2TDa83/LaUfUfcH05969PCYd4qCpYKnyLZ1JaXXX1v0t8z0st4ZzXNantasWqe/l8hv7Y/wAbZbtp/C/h69WadgUuZ05EA/u57t/KvlJ9Mnd2d3dmY5YkZJPrXrMPgbUZMuLKUknJYoSSamj+HmsMT/oDqfda/TMkxWBybDewoSV93J7yfdn0GZcC/XFCFadoQ+GKei7vzb6v9Dx46dODwQce1fVX/BNLRD5/iLUpIz5rzW9uh9gHY/qRXl158PtWXB+yOc/7Jr6L/YB0ubSLPV7a4iZX+2o44wceXgEflXJxfnMcbk1TDwkvfcFpvZyR87iODIZRCeLg2+VP8dP1Pqaxt1TTyiEqWOSTycdv6GuE8Xg293KhOTGi/MBy5/zmu5FwY3YJx5a5AxggV5t8TbpBqbNE42zRrJ1z8xHT+dfEcT4OjHBUYU1ZwfL8rPp67/8ABseFksJzxTT6mNc3bkMchevzDqPpXPa3MqocK2/19KfqF20ce5pEyeQF5I78mst1a4uFDlCEGWZa+Zw9BR1ex+iYXDKHvPYaZJPsy/wxliOByT7mug+Fvh59f8Qn7TBi2t8PKpPX0X8cc+31rm7uREYYl2gHC+n4D1r3/wCCnh2PTvDsBeMGZh5kjFcHeRz/AIV6VOhUxFSGGpL3pu3our+78Tl4gzH6hgXKOkpaL/M7DRbFLe3j+TGAAABjjtXnnxN1i8uPEctpND/odqdqR79u84+8fXvWx8TPFEtkw0rTpykuAZpEOSnoorh/tUd/dA6pMXnDBRNjqPRh/WuziDM8NDDLLcKtItc3Z2W3y+658Lk2AqKX1uqrprTe/r/Wo/RbkgzosaxhhwwQPj8+RUUkRjAIOcg7h2qzJFbW8xEFx8wJDArj8R7Uy8w7bVx83PFfETqSbS6H0CknPmjsxiPZfZt9xDIxVCuFwAXPI/CmQJbptedgI9wLADJ49vrioRM7yxWkqjy5mJ245Bz+lTQpA/nrFIsgQ52k/Nn/ACK1tJRTa0Rbjyp3bLcs5CySXMiyPsGEdc7Rz0+nFSeE7lLLVo79UkQR8kjvn+EepNZ7COMlN7SuwAIY8Fv8BzUJkLzCTeWEbEIefvdCRiiEpxmpQlZrW5DoqdOUejPVvDHinTNane08t7a5zzHMMb/cVxH7Tnww0bx54ButK1KCJAwLx3Gz5oJMfK6kd84+orKuZQGhmj/czp/cOXzn7xOTXqnh3UYNe8PI4cOyDZNu/vD2r9Ay7NZ5rSlh5vlxEPehJK2q12736rdX03PmcXhf7PqRxFH4Ho09f6TPJvgBrt1BolloWpsP7R02FYLgE/eZRgn6Hr+NezWc7SQK425xzz1/D/PSvmf9om9fwD8RbLxdAGSynmFvf7T0z92T+n0r2PwJ4tt9S0WG5t5UmSRAwZTkr+NeBhMT/ZmIeIn/AAql9tlNPX/geVj0s/yuNSjSx1Be7UV/R9V/kdXqTpvb5iMABTjk/WqTkYIAwT8oAPANRPdiY7SeTnLMc8UsTK6hnJ+8MBhwfoRXi4qccZiZShs7/wBfK9v89z5yMXCOpW1BV2ZLjaDgf1zWbeOcZccODsGeMe+K2/LL7OEGBnBB4Hr9cVUlsjvLQpKOfnYgYwR29KieS1nrCO5cayW5zt2XccgsNpyVH8xWf5yjhZ1AHQEHir+vwTWi4khkDHK/fxwO9Zke4op3RdPWvP8AYTptxkrNdDvg1KNzivHZks737XZI8bw5YJ6qeefqP51Ba+LZ10KWBpS0TRkJC/WFgM4z65wcGui8SRo93IWUHkL+GK8g8RTSW3ixY4HKJICGUdDgcf8A66+zyetUTapOzSfzXY/H6kJRk3c4X4kaiz3MdxNMWxwSAVGOQAMjkcda8z1bVGRyokk4H8R5I+nauw+KzuJQAx+Z2J5+teS6tPK8zMzkls5PrX6xkOCjVpJs7MJTVrmu2ohlBaLjHXPJ/wDr1VvJojGPJOGHbvWLG77d245z1qVXZlAY5HFfURwUYO6PXpxvoX4r69hUxmSTZ2GeBTPDl34lk8TwWfhW7votSu5AkX2KZo2ZvcqRwOtQXBPlEZJx0zX0h/wTf0DR77U9d1i80+Ka+tpI4YZ3yTGjAkgdhnHXrXmZ3mNLKssrY2VNSslp0bbSV/K71PewGF9rWjSUmlu7b2XbzPSPg34M+KC+HkttV8U6lqNxIv76adwwTOPlGRkgep616fafCG/1GADXPEV9JG33o4nIB/KvUdGtreK2iWOJVG0cAVr2yLv244B6V+EUp4jH4j2jcY8z+ykt/RafI+oxHFGJpJU8KlBR20vL73d3PK9J+Bvgi0cO2mCZjjc8rFmOPet5Phx4bt0It9Gttp4/1ArvwimKTI+7nH4Goo0VjI7KCypkH3wK+h/1c9pFe0qNt66t/wBdDyKvEWZ13epWk/Vs89uvB+kxfL9gRARkbUAzj2rOvfCGmABzAmAMggAgfWvRbiKOaykeRFLLJgEDGOvpXlPii9u5tdubZ538mMHainaPxx1/GvksxyueFnFqekldau/bX/hzopZxiIwcnN6eZma94W0wnZH5O4nAGR0+lReANLj0PVJnii2+eFJbdwSDxz9DWjaWlt5znyV4/wAKZfIqshUbSyZJBxWCVSNPlc3b/Jmy4srypujON4vzOn1zXYYtCnkLR7mXCkvgsT6HtXmHiLVVuHe4mkDyOxUkN8qjPAX6Vo6rcTy6RO0krMd45J98V5r4xnmtxEsMjKpGSM8d692dSpj5x55dP6ufZcKYKjiqaqQ0bfUu6hq0MswTzWA6E47+mKmF9DDCUCKcguSGzkn1rjrSeZpCxkYkAjNLPdXAfYJW24HFdn1GPwo+/eWx0imdp4Htxrvi6ytDCxhacNIducqOTx+FfVWiiKx0MTeWFSKNpGwMAYFfKnwMd4/G8MqOwcQSkNuJOcqP5E19ReK2ZPAV5sOP9HHT3Irvyi1HGYita/sqd166v/20/L+PE5Y2hh7+7p+LszzS/uft17NeBoxvJZkYAs5J/TFUZ7PyJROVOSRuDcFvwqfVI1iVXTIOF/iPoavQRobTzCoLNGSSeea/P6qkp+9uwjNUoJx22KQW3KSebLt/55nuPY1FMohbG7gcqRzz3/ChjujjZuTvI/DipoY0YSbhnbtIyehPWue3LG5pfl1ZBZWzi8EijayMSvzcjIJGKZbxLFdvcOokMy/Lhupz1P61s6bEjTbyMskoAOT0qpZwxLqRUIMFwCPY0+d2t3M1iLuXkioMmVVZUUyAgswyFHrVjT53sJvNjaPjgfJk8d/aogSZZJCctlufxq7ZSGKzLIqEkEZZA3ceorowt3PR25Ve63/NDqv3bNbjDFCkj3EcMBkfJaRzud8+3aut+FU8i3E0MkEEUTxeYqx9Tg4yfSqOnRrcaNLdTAvKGCBiTwp6iovC88tr4stYLd/LjlYq6gDDDFenlld4XM8NUeqlZr0btr/w/wAzyMXL6xQqU+q/TUwP2wfDKa/8MtXtmhUk2jyqQBu3IMgD34r5Z/Zq+J994U1L/hG9Und7F3It5JMj8P8A61fdHxOtLafw9cyTQq7LC6gkdBtr81NYVZZZC4yRfSEEcEYU4xj6V95hsBSr1cZgayvCTUl3Tknr63R25PjW8rUJK8VKzXqv0tp6n3r4d8R2t/aJNHJkOB90jitq21a3GwjPync2Dnt1xXyr+zxrWqzaLGst7Iw6c46cV7fplzOQSZDX5xmOVzy3EypwlezOPHYGEHo9D2HQLmzvIN4YM8aYkV2ABz0wD0A61o6zqmiWloxhuY/MUAogAYEjqT2/WvGp7q4EDYlYbo+eax7q6uG2gzMcgjrX1OX8Z4jD4T2MKEee1nL9Urb/AD317ngvLeed+bQ7j4leJNMuLlUtPJjihXJWPkbj2z61xT+IEDEBUIz/AHj/AIVz2qySbGO8/dB6+9Y0k0vmN+8bqe9eLiYSzDETxNb4pPpovkj1aOHjTgorof/Z 2.0000000 0.5000000 0 <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>c</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>d</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>s_1</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>01</mn><mo>*</mo><mi>aleatori</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>200</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>s_2</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>01</mn><mo>*</mo><mi>aleatori</mi><mo>(</mo><mn>50</mn><mo>,</mo><mn>90</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>*</mo><mi>d</mi><mo>-</mo><mi>c</mi><mo>*</mo><mi>b</mi><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>s_1</mi><mo>+</mo><mi>b</mi><mo>*</mo><mi>s_2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>a</mi><mo>*</mo><mn>0</mn><mo>.</mo><mn>9</mn><mo>*</mo><mi>s_1</mi><mo>+</mo><mi>b</mi><mo>*</mo><mn>0</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>s_2</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>d</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn><mo>,</mo><mn>10</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>9</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>17.58</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>15.312</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s_1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.56</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s_2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.51</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers></question> Cal resoldre el sistema format per les equacions:
#a x + #b y = #e
#a * 0,9*x + #b * 0,8 * y = #f

]]> 4.04.4.3.51 SistNoLineal Rectangle semblant Calcula les dimensions d’un rectangle de diagonal igual a #d m, sabent que és semblant a un altre els costats del qual fan #a m i #b m.


Resposta
COSTAT CURT= {#1}
COSTAT LLARG= {#2}
 
]]> 2.0000000 0.5000000 0 <question><wirisCasSession>&lt;session lang=&quot;ca&quot; version=&quot;2.0&quot;&gt;&lt;library closed=&quot;false&quot;&gt;&lt;mtext style=&quot;color:#ffc800&quot; xml:lang=&quot;es&quot;&gt;variables&lt;/mtext&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;apply&gt;&lt;csymbol definitionURL=&quot;http://www.wiris.com/XML/csymbol&quot;&gt;repeat&lt;/csymbol&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;50&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;15&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;aleatori&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;S&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;resol&lt;/mi&gt;&lt;mfenced close=&quot;}&quot; open=&quot;{&quot;&gt;&lt;mtable align=&quot;center&quot;&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;&amp;Hat;&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;&amp;Hat;&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;mo&gt;&amp;Hat;&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mfrac&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;/mfrac&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mfrac&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;/mfrac&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mfenced&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mo&gt;{&lt;/mo&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;l&lt;/mi&gt;&lt;mo&gt;}&lt;/mo&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;ordena&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;{&lt;/mo&gt;&lt;msub&gt;&lt;mi&gt;S&lt;/mi&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msub&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;msub&gt;&lt;mi&gt;S&lt;/mi&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/msub&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;y&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;}&lt;/mo&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd/&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;mrow&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;∈&lt;/mo&gt;&lt;rationals/&gt;&lt;mo&gt;∧&lt;/mo&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;&amp;gt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/apply&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/library&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mn&gt;47&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mn&gt;12&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;b&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mn&gt;16&lt;/mn&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfrac&gt;&lt;mn&gt;141&lt;/mn&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mfrac&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;l&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfrac&gt;&lt;mn&gt;188&lt;/mn&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mfrac&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;/group&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/session&gt;</wirisCasSession></question> Es fa servir el teorema de Pitàgores per calcular la diagonal.

]]> 4t ESO/4.04 EQUACIONS/4.04.3 Sistemes/4.04.3.5 Aplicació sistemes 4.04.3.5.10 TEORIA INTERSECCIÓ RECTES
Punt d'intersecció entre 2 rectes

L'equació explícita d'una recta és y = mx + n.

Per determinar les coordenades del punt d'intersecció de dues rectes (x0,y0), només cal resoldre el sistema de les dues equacions.
]]> 0.0000000 0.0000000 0 4.04.3.5.11Q Intersecció de dues rectes  
   

Dues rectes tenen per equacions:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#00007F¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#160;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨»i«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#00007F¨»2«/mn»«/mstyle»«/math»

Quines són les coordenades del seu punt d'intersecció?

Format: (1,2)

 

  
 
]]> El gràfic és #G1

]]> 1.0000000 0.2500000 0 0 #sol <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>m1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>n1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>m2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>n2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr></mtable><mrow><mi>m1</mi><mo>≠</mo><mi>m2</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>y</mi><mo>=</mo><mi>m1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>y</mi><mo>=</mo><mi>m2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mfrac><mrow><mi>n2</mi><mo>-</mo><mi>n1</mi></mrow><mrow><mi>m1</mi><mo>-</mo><mi>m2</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><mi>m1</mi><mo>*</mo><mi>x1</mi><mo>+</mo><mi>n1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>punt</mi><mo>(</mo><mi>x1</mi><mo>,</mo><mi>y1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>recta</mi><mo>(</mo><mi>y</mi><mo>=</mo><mi>m1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>recta</mi><mo>(</mo><mi>y</mi><mo>=</mo><mi>m2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G1</mi><mo>=</mo><mi>dibuixa</mi><mfenced><mrow><mi>r1</mi><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>color</mi><mo>=</mo><mi>blau</mi><mo>,</mo><mi>amplada_línia</mi><mo>=</mo><mn>5</mn></mtd></mtr></mtable></mfenced></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G1</mi><mo>=</mo><mi>dibuixa</mi><mo>(</mo><mi>r2</mi><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>color</mi><mo>=</mo><mi>vermell</mi><mo>,</mo><mi>amplada_línia</mi><mo>=</mo><mn>5</mn></mtd></mtr></mtable></mfenced><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mi>m1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>m2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f11</mi><mo>=</mo><mi>m1</mi><mo>*</mo><mi>x</mi><mo>-</mo><mi>m2</mi><mo>*</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f12</mi><mo>=</mo><mi>n2</mi><mo>-</mo><mi>n1</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>-</mo><mn>44</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>-</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mn>0</mn><mo>,</mo><mn>4</mn></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>-</mo><mn>44</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tauler1</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> És fàcil resoldre per igualació i aïllar la 1a coordenada x del punt d'intersecció:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»2«/mn»«/mstyle»«/math»

]]> Aïlles x;  

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#8660;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#003300¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»11«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#003300¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»12«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#8660;«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#003300¨»x«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#003300¨»x«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»1«/mn»«/mstyle»«/math»

Per a trobar la 2a coordenada, substitueixes x per #x1 en qualsevol de les dues equacions

 

]]> Per a trobar la 2a coordenada, substitueixes x per #x1 en qualsevol de les dues equacions:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»y«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»m«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#183;«/mo»«mfenced mathcolor=¨#003300¨»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»x«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»+«/mo»«mfenced mathcolor=¨#003300¨»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»n«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«/mfenced»«/mstyle»«/math»

 

]]> 4.04.3.5.20 TEORIA INTERSECCIÓ RECTA PARÀBOLA
Punt d'intersecció recta paràbola

L'equació explícita d'una recta és y = mx + n; l'equació d'una paràbola és del tipus y = ax2 + bx + c.

Per determinar les coordenades del punt d'intersecció entre la recta i la paràbola (x0,y0), només cal resoldre el sistema de les dues equacions. Es pot resoldre per igualació.
]]> 0.0000000 0.0000000 0 4.04.3.5.21Q Intersecció RectaParàbola  
 

Una recta i una paràbola tenen per equacions:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#00007F¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#160;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨»i«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#00007F¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#00007F¨»2«/mn»«/mstyle»«/math»

Quines són les coordenades dels seus punts d'intersecció?

Format: {(1,2).(2,5)}

 

  
 
]]> El gràfic és #G1

]]> 1.0000000 0.3333333 0 0 #sol <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>m1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>n1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>b1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>c1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>D</mi><mo>=</mo><mo>(</mo><mi>b1</mi><mo>-</mo><mi>m1</mi><msup><mo>)</mo><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>a1</mi><mo>*</mo><mo>(</mo><mi>c1</mi><mo>-</mo><mi>n1</mi><mo>)</mo></mtd></mtr></mtable><mrow><mfenced><mrow><mi>D</mi><mo>&gt;</mo><mn>0</mn></mrow></mfenced><mo>∧</mo><mfenced><mrow><msqrt><mi>D</mi></msqrt><mo>∈</mo><integers/></mrow></mfenced></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>y</mi><mo>=</mo><mi>m1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>y</mi><mo>=</mo><mi>a1</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>b1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>c1</mi></math></input></command><command><input><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced><mrow><mn>0</mn><mo>,</mo><mo>-</mo><mn>2</mn></mrow></mfenced><mo>,</mo><mfenced><mrow><mo>-</mo><mfrac><mn>9</mn><mn>4</mn></mfrac><mo>,</mo><mn>7</mn></mrow></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tauler1</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> És fàcil resoldre per igualació i aïllar la 1a coordenada x del punt d'intersecció:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#8660;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#003300¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»11«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»0«/mn»«/mstyle»«/math»

]]> Resols l'equació de 2n grau que té per solucions «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»x«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»i«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»x«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»2«/mn»«/mrow»«/mstyle»«/math»

Per a trobar la 2a coordenada, substitueixes x per #x1 i per #x2 en qualsevol de les dues equacions

 

]]> Per a trobar la 2a coordenada dels dos punts, substitueixes x per #x1 i per #x2 en qualsevol de les dues equacions:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msub mathcolor=¨#003300¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»y«/mi»«mn mathvariant=¨bold¨»1«/mn»«/msub»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»m«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#183;«/mo»«mfenced mathcolor=¨#003300¨»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»x«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»+«/mo»«mfenced mathcolor=¨#003300¨»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»n«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«/mfenced»«/mstyle»«/math»

 

 

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub mathcolor=¨#003300¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨ mathsize=¨12px¨»y«/mi»«mn mathvariant=¨bold¨ mathsize=¨12px¨»2«/mn»«/msub»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨ mathsize=¨12px¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨ mathsize=¨12px¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨ mathsize=¨12px¨»m«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨ mathsize=¨12px¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨ mathsize=¨12px¨»§#183;«/mo»«mfenced mathcolor=¨#003300¨»«mrow»«mo mathvariant=¨bold¨ mathsize=¨12px¨»#«/mo»«mi mathvariant=¨bold¨ mathsize=¨12px¨»x«/mi»«mn mathvariant=¨bold¨ mathsize=¨12px¨»2«/mn»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨ mathsize=¨12px¨»+«/mo»«mfenced mathcolor=¨#003300¨»«mrow»«mo mathvariant=¨bold¨ mathsize=¨12px¨»#«/mo»«mi mathvariant=¨bold¨ mathsize=¨12px¨»n«/mi»«mn mathvariant=¨bold¨ mathsize=¨12px¨»1«/mn»«/mrow»«/mfenced»«/math»

]]> 4.04.3.5.50 TEORIA MRU
MRU

En el moviment rectilini uniforme (a velocitat constant), l'equació del moviment és x = v t + x0 amb x = desplaçament en m, v= velocitat en m/s, t = temps en segons i x0 = desplaçament inicial (en m).

Si es desplacen dos mòbils, caldrà resoldre el sistema per determinar algunes de les incògnites.
]]> 0.0000000 0.0000000 0 4.04.3.5.51Q MRU  
 

 
 

Un bus surt de Vilafranca a una velocitat de #v1 km/h en direcció a un poble distant de #n2 km. En el mateix moment, una moto surt del poble en direcció a Vilafranca a una velocitat de  #v2 km/h. 

Al cap de quant de temps i a quina distància de Vilafranca es trobaran?

Comença transformant les unitats

Format:

a) temps: 15 (en segons)

b) distància: 20 (en metres arrodonits a la unitat)

 

  
 
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xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>32922535</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mn>55</mn><mo>*</mo><mi>x</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>-</mo><mn>87</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>85</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tauler1</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mn>1</mn><mspace linebreak="newline"/><mi>x</mi><mo>&#160;</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> Cal transformar primer les velocitats a m/s i la distància a metres.

En aquestes unitats:

  • l'equació del bus és «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»1«/mn»«/mrow»«/mstyle»«/math»
  • l'equació de la moto és «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«/mrow»«/mstyle»«/math» (la velocitat és negativa perquè va en sentit contrari)

Per igualació es troba primer el temps i per substitució, en la 1a equació, la distància

]]> 4.04.3.5.60 TEORIA MRUA
MRUA

En el moviment rectilini uniformement accelerat (a acceleració constant), l'equació del moviment és

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨»x«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»=«/mo»«mfrac mathcolor=¨#00007F¨»«msup»«mi mathvariant=¨bold¨»at«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«mn mathvariant=¨bold¨»2«/mn»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»+«/mo»«msub mathcolor=¨#00007F¨»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨»v«/mi»«mn mathvariant=¨bold¨»0«/mn»«/msub»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨»t«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»+«/mo»«msub mathcolor=¨#00007F¨»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨»x«/mi»«mn mathvariant=¨bold¨»0«/mn»«/msub»«/mrow»«/mstyle»«/math» i l'equació de la velocitat és v = at + v0

amb x = desplaçament en m, a = acceleració en m/s2, v= velocitat inicial en m/s, t = temps en segons i x0 = desplaçament inicial (en m).

Si es desplacen dos mòbils, caldrà resoldre el sistema corresponent per determinar algunes de les incògnites.
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