MATE GGZZ I/2. Gaia-Ekuazio eta ekuazio sistemak/2 ekuazioko sistemak Pregunta 10 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd/»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfenced close="}" open=""»«mtable»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«mi»y«/mi»«mo»=«/mo»«mfrac»«mn»11«/mn»«mn»2«/mn»«/mfrac»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«/mtable»«/math»

Emaitza bat baino gehiago baditu,idatzi komarekin banatutaeta hutsune gabe eta txikitik handira ordenatuta.
Osoa ez bada, zatiki eran.
Ez badu soluziorik idatzi: Ez du soluziorik.
Ikurra negatiboa denean bakarrik erabili.
Adibidez:«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»=«/mo»«mn»2«/mn»«mo»,«/mo»«mi»y«/mi»«mo»=«/mo»«mn»2«/mn»«mo»/«/mo»«mn»5«/mn»«/math»
]]> 1.0000000 1.0000000 0 0 x=1/2,y=1 y=1,x=1/2 Pregunta 11 «math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd/»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mfenced close="}" open=""»«mtable»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«mi»y«/mi»«mo»=«/mo»«mn»5«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»6«/mn»«mi»y«/mi»«mo»=«/mo»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mtd»«/mtr»«/mtable»«/math»

Emaitza bat baino gehiago baditu,idatzi komarekin banatutaeta hutsune gabe eta txikitik handira ordenatuta.
Osoa ez bada, zatiki eran.
Ez badu soluziorik idatzi: Ez du soluziorik.
Ikurra negatiboa denean bakarrik erabili.
Adibidez:«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»=«/mo»«mn»2«/mn»«mo»,«/mo»«mi»y«/mi»«mo»=«/mo»«mn»2«/mn»«mo»/«/mo»«mn»5«/mn»«/math»
]]> 1.0000000 1.0000000 0 0 x=4/3,y=7/9 y=7/9,x=4/3 Sistema de ecuaciones_1_w Ondorengo ekuazio sistema emanik:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨¨ open=¨{¨»«mtable»«mtr»«mtd»«mi»#a1«/mi»«mo»·«/mo»«mi»x«/mi»«mo»+«/mo»«mo»(«/mo»«mi»#b1«/mi»«mo»)«/mo»«mo»·«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#e1«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#a2«/mi»«mo»·«/mo»«mi»x«/mi»«mo»+«/mo»«mo»(«/mo»«mi»#b2«/mi»«mo»)«/mo»«mo»·«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#e2«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

Ebatzi laburketa metodoa erabiliz eta eman soluzioa.

]]> 1.0000000 0.3333333 0 0 x=#i1y =#i2]]> <question><wirisCasSession><![CDATA[<session lang="es" 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>i1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>i2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>i1</mi><mo>≠</mo><mi>i2</mi><mo>∧</mo><mi>mcd</mi><mo>(</mo><mi>a1</mi><mo>,</mo><mi>a2</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>∧</mo><mi>mcd</mi><mo>(</mo><mi>b1</mi><mo>,</mo><mi>b2</mi><mo>)</mo><mo>=</mo><mn>1</mn><mo>∧</mo><mfenced close="|" open="|"><mi>a1</mi></mfenced><mo>≠</mo><mn>1</mn><mo>∧</mo><mfenced close="|" open="|"><mi>a2</mi></mfenced><mo>≠</mo><mn>1</mn><mo>∧</mo><mfenced close="|" open="|"><mi>b1</mi></mfenced><mo>≠</mo><mn>1</mn><mo>∧</mo><mfenced close="|" open="|"><mi>b2</mi></mfenced><mo>≠</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>a1</mi><mo>·</mo><mi>i1</mi><mo>+</mo><mi>b1</mi><mo>·</mo><mi>i2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>a2</mi><mo>·</mo><mi>i1</mi><mo>+</mo><mi>b2</mi><mo>·</mo><mi>i2</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">i</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo> </mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">i</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</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> Sistema de ecuaciones_2_w Ondorengo ekuazio sistema emanik:

Ebatzi nahi duzun metodoa erabiliz eta eman emaitza.

]]> 1.0000000 0.3333333 0 0 x=#i1y=#i2]]> <question><wirisCasSession><![CDATA[<session lang="es" 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>i1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>i2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mn>10</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>mcd</mi><mo>(</mo><mi>a1</mi><mo>,</mo><mi>a2</mi><mo>)</mo><mo>≠</mo><mn>1</mn><mo>∨</mo><mi>mcd</mi><mo>(</mo><mi>b1</mi><mo>,</mo><mi>b2</mi><mo>)</mo><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>i1</mi><mo>≠</mo><mi>i2</mi><mo>∧</mo><mi>a1</mi><mo>≠</mo><mi>a2</mi><mo>∨</mo><mi>b1</mi><mo>≠</mo><mi>b2</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>a1</mi><mo>·</mo><mi>i1</mi><mo>+</mo><mi>b1</mi><mo>·</mo><mi>i2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>a2</mi><mo>·</mo><mi>i1</mi><mo>+</mo><mi>b2</mi><mo>·</mo><mi>i2</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">i</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">i</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</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> Sistema de ecuaciones_No lineal_w Ebatzi ondorengo ekuazio sistema ez lineala.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨¨ open=¨{¨»«mtable»«mtr»«mtd»«mi»#c«/mi»«mo»·«/mo»«mi»x«/mi»«mo»-«/mo»«mi»y«/mi»«mo»=«/mo»«mi»#a«/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»#b«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

Eman bere soluzioak, 1. soluzioa x_en balio txikiena:

]]> 1.0000000 0.3333333 0 0 x1=#p1y1=#p2x2=#p11y2=#p22]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>100</mn><mo>)</mo></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mrow><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>)</mo></mrow><mrow><mi>c</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>c</mi><mo>≠</mo><mn>1</mn></mrow></apply></mtd></mtr><mtr><mtd><mi>S</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>c</mi><mo>·</mo><mi>x</mi><mo>-</mo><mi>y</mi><mo>=</mo><mi>a</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>b</mi></mtd></mtr></mtable></mfenced></mtd></mtr></mtable><mrow><mi>longitud</mi><mo>(</mo><mi>S</mi><mo>)</mo><mo>=</mo><mn>2</mn></mrow></apply><mrow><msub><mi>S</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>∈</mo><rationals/></mrow></apply></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><mn>0</mn><mo>,</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>4</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><mn>20</mn><mn>13</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mfrac><mn>48</mn><mn>13</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>x1</mi><mo>=</mo><msub><mi>S</mi><mn>1</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msub><mi>S</mi><mn>1</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><msub><mi>S</mi><mn>2</mn></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>20</mn><mn>13</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y2</mi><mo>=</mo><msub><mi>S</mi><mn>2</mn></msub><mo>(</mo><mi>y</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>48</mn><mn>13</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p1</mi><mo>=</mo><mi>minimo</mi><mo>(</mo><mi>x1</mi><mo>,</mo><mi>x2</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p2</mi><mo>=</mo><mi>c</mi><mo>*</mo><mi>p1</mi><mo>-</mo><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p11</mi><mo>=</mo><mi>maximo</mi><mo>(</mo><mi>x1</mi><mo>,</mo><mi>x2</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>20</mn><mn>13</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p22</mi><mo>=</mo><mi>c</mi><mo>*</mo><mi>p11</mi><mo>-</mo><mi>a</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>48</mn><mn>13</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"><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>p</mi><mn>1</mn><mspace linebreak="newline"/><msub><mi>y</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>p</mi><mn>2</mn><mspace linebreak="newline"/><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>p</mi><mn>11</mn><mspace linebreak="newline"/><msub><mi>y</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>p</mi><mn>22</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</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>