Matematika I // Matematicas I/Ekuazioak eta ekuazio sistemak // Ecuaciones y sistemas de ecuaciones Pregunta_1 Ebatzi ondorengo ekuazio linealak.

Resuelve las siguientes ecuaciones lineales.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfrac»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«mn»2«/mn»«/mfrac»«mo»+«/mo»«mn»7«/mn»«mo»=«/mo»«mi»x«/mi»«mo»-«/mo»«mfrac»«mrow»«mn»5«/mn»«mo»-«/mo»«mi»x«/mi»«/mrow»«mn»4«/mn»«/mfrac»«/mrow»«/mstyle»«/math»

b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfrac»«mrow»«mo»-«/mo»«mn»3«/mn»«mfenced»«mrow»«mn»5«/mn»«mo»-«/mo»«mi»x«/mi»«/mrow»«/mfenced»«/mrow»«mn»10«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«/mrow»«mn»2«/mn»«/mfrac»«mo»=«/mo»«mn»7«/mn»«mo»-«/mo»«mfrac»«mrow»«mn»5«/mn»«mi»x«/mi»«/mrow»«mn»3«/mn»«/mfrac»«/mrow»«/mstyle»«/math»

Emaitza bakarrik adierazi, ez ipini aldagaia

Resuelve las siguientes ecuaciones.

a. #e1	b. #e2
c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«msub»«mi»log«/mi»«mn»3«/mn»«/msub»«mo»§#160;«/mo»«mn»9«/mn»«mo»-«/mo»«msub»«mi»log«/mi»«mn»3«/mn»«/msub»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mn»2«/mn»«/mrow»«/mstyle»«/math»	d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»ln«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»=«/mo»«mi»ln«/mi»«mo»§#160;«/mo»«mn»3«/mn»«mo»+«/mo»«mn»2«/mn»«mi»ln«/mi»«mo»§#160;«/mo»«mn»4«/mn»«mo»-«/mo»«mi»ln«/mi»«mo»§#160;«/mo»«mn»2«/mn»«/mrow»«/mstyle»«/math»

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

Ez badu soluziorik idatzi «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math». Si no tiene solución escribe «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8709;«/mo»«/math».

]]> 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1.0000000 0.3333333 0 0 a.x=#r11b.x=#r21c.x=#r31d.x=#r41]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mi>log</mi><mo> </mo><mfenced><mrow><mn>6</mn><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo>-</mo><mi>log</mi><mo> </mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfenced><mo>=</mo><mi>log</mi><mo> </mo><mi>x</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>log</mi><mfenced><mrow><mn>6</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo>-</mo><mi>log</mi><mfenced><mrow><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfenced><mo>=</mo><mi>log</mi><mo> </mo><mi>x</mi></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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>1.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r12</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>:</mo><mo>=</mo><mi>log</mi><mo> </mo><mfenced><mrow><mi>x</mi><mo>+</mo><msqrt><mn>6</mn></msqrt></mrow></mfenced><mo>+</mo><mi>log</mi><mo> </mo><mfenced><mrow><mi>x</mi><mo>-</mo><msqrt><mn>6</mn></msqrt></mrow></mfenced><mo>=</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>log</mi><mfenced><mrow><mi>x</mi><mo>+</mo><msqrt><mn>6</mn></msqrt></mrow></mfenced><mo>+</mo><mi>log</mi><mfenced><mrow><mi>x</mi><mo>-</mo><msqrt><mn>6</mn></msqrt></mrow></mfenced><mo>=</mo><mn>1</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e2</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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>4.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r22</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><msub><mi>log</mi><mn>3</mn></msub><mn>9</mn><mo>-</mo><msub><mi>log</mi><mn>3</mn></msub><mi>x</mi><mo>=</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>log</mi><mn>3</mn></msub><mo> </mo><mn>9</mn><mo>-</mo><msub><mi>log</mi><mn>3</mn></msub><mo> </mo><mi>x</mi><mo>=</mo><mn>2</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e3</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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>1.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r32</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e4</mi><mo>:</mo><mo>=</mo><mi>ln</mi><mo> </mo><mi>x</mi><mo>=</mo><mi>ln</mi><mo> </mo><mn>3</mn><mo>+</mo><mn>2</mn><mo>*</mo><mi>ln</mi><mo> </mo><mn>4</mn><mo>-</mo><mi>ln</mi><mo> </mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ln</mi><mo> </mo><mi>x</mi><mo>=</mo><mi>ln</mi><mo> </mo><mn>3</mn><mo>+</mo><mn>2</mn><mo>*</mo><mi>ln</mi><mo> </mo><mn>4</mn><mo>-</mo><mi>ln</mi><mo> </mo><mn>2</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e41</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e4</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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><msup><exponentiale/><mrow><mfenced><mrow><mn>2</mn><mo>*</mo><mi>ln</mi></mrow></mfenced><mfenced><mn>4.</mn></mfenced><mo>+</mo><mn>0.40547</mn></mrow></msup></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r41</mi><mo>=</mo><mn>24</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>24</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r42</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></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>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>41</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</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"/><data name="inputCompound">true</data></localData></question> Pregunta_10-b Ebatzi ondorengo ekuazioak.

Resuelve las siguientes ecuaciones.

a. #e1

b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mi»log«/mi»«mo»§#160;«/mo»«mn»2«/mn»«mo»+«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»8«/mn»«mo»=«/mo»«mi»log«/mi»«mo»§#160;«/mo»«mn»4«/mn»«/mrow»«/mstyle»«/math»

c. #e3

d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mn»5«/mn»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mo»§#160;«/mo»«mn»4«/mn»«mo»+«/mo»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mo»§#160;«/mo»«mn»8«/mn»«mo»=«/mo»«msub»«mi»log«/mi»«mn»2«/mn»«/msub»«mo»§#160;«/mo»«mi»x«/mi»«/mrow»«/mstyle»«/math»

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

]]> iVBORw0KGgoAAAANSUhEUgAAAIUAAAAlCAIAAADjpL2FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAB3RJTUUH3gYGCCYtxtnzagAAAAd0RVh0QXV0aG9yAKmuzEgAAAAMdEVYdERlc2NyaXB0aW9uABMJISMAAAAKdEVYdENvcHlyaWdodACsD8w6AAAADnRFWHRDcmVhdGlvbiB0aW1lADX3DwkAAAAJdEVYdFNvZnR3YXJlAF1w/zoAAAALdEVYdERpc2NsYWltZXIAt8C0jwAAAAh0RVh0V2FybmluZwDAG+aHAAAAB3RFWHRTb3VyY2UA9f+D6wAAAAh0RVh0Q29tbWVudAD2zJa/AAAABnRFWHRUaXRsZQCo7tInAAABAElEQVR4nO2a27KDIAxFpXP+/5fpg1OGEyMSc2GLrCfb0TTDTkJCTTnnbQHDZ7QDi38sPbDg9Ugpib7Xk3442X8Kf8evhoixtrEdJj/YpVlLFgOTHyJK0uSc92upbPtTrN5641aEecJHPVmd8vEsS0xcdDVuQoAn1/1VZ6XSe1lCz8O4Fd6edNWrepnWRuLKdX7kio0LkF0hp+7L1TigJ9p50DBdjqZwcjHME0aP0vBcPkzuuRc7ZRI8iqE3Xv+E5nG9J51PoQSgHwhJ1t+YTX5+hSDGJunKIvQYdTBVdmCEdqCTV+QHSIfWg/a8ZBSdk2OjUFjNnrYzLNVDH0fFj7O2hJzEON9hpQAAAKtJREFU3DNuchxweU/DPUNPaqgehtaJMKzlgZttT1zHu/fUeqUHoe86MrMe9TY+dvUb/ynQOzHD5LVM3u8+Dlm9Ckh/kApDCPNKoEdd/pzOIQJ+4gaRXgnqVcDqgAgwkDv7B07kzodYj5iDoNdKLp4/2i+aTEnkcSTiPAgo9tmhnDlw8wegGIUA37D0IJ3lWGcIMYEimz/KdcA8iEPkC5K4xeGdYNWrxdIDiy8nDBeBqL7adAAAAABJRU5ErkJggg== 1.0000000 0.3333333 0 0 a.x1=#r11a.x2=#r12b.x=#r21c.x=#r31d.x=#r41]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mn>2</mn><mo>*</mo><mi>log</mi><mo> </mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfenced><mo>-</mo><mi>log</mi><mo> </mo><mfenced><mrow><mn>5</mn><mi>x</mi><mo>+</mo><mn>6</mn></mrow></mfenced><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>*</mo><mi>log</mi><mfenced><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfenced><mo>-</mo><mi>log</mi><mfenced><mrow><mn>5</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>6</mn></mrow></mfenced><mo>=</mo><mn>0</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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><mn>1.</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>1.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r12</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>:</mo><mo>=</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo>*</mo><mi>log</mi><mo> </mo><mn>2</mn><mo> </mo><mo>+</mo><mi>log</mi><mo> </mo><mn>8</mn><mo>=</mo><mi>log</mi><mo> </mo><mn>4</mn><mo> </mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo>*</mo><mi>log</mi><mo> </mo><mn>2</mn><mo>+</mo><mi>log</mi><mo> </mo><mn>8</mn><mo>=</mo><mi>log</mi><mo> </mo><mn>4</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e2</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r22</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><mi>log</mi><mo> </mo><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo>+</mo><mi>log</mi><mo> </mo><mi>x</mi><mo>=</mo><mi>log</mi><mo> </mo><mn>10</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>log</mi><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mo>+</mo><mi>log</mi><mo> </mo><mi>x</mi><mo>=</mo><mi>log</mi><mo> </mo><mn>10</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e3</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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>3.7016</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3.7016</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r32</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e4</mi><mo>:</mo><mo>=</mo><mn>5</mn><mo>*</mo><msub><mi>log</mi><mn>2</mn></msub><mo> </mo><mn>4</mn><mo>+</mo><msub><mi>log</mi><mn>2</mn></msub><mo> </mo><mn>8</mn><mo>=</mo><msub><mi>log</mi><mn>2</mn></msub><mo> </mo><mi>x</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>*</mo><msub><mi>log</mi><mn>2</mn></msub><mo> </mo><mn>4</mn><mo>+</mo><msub><mi>log</mi><mn>2</mn></msub><mo> </mo><mn>8</mn><mo>=</mo><msub><mi>log</mi><mn>2</mn></msub><mo> </mo><mi>x</mi></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e41</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e4</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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><msup><exponentiale/><mrow><mn>0.69315</mn><mo>*</mo><mfenced><mrow><mn>5</mn><mo>*</mo><mfenced><mrow><mi>t</mi><mo>↦</mo><mi>log</mi><mfenced><mrow><mi>t</mi><mo>,</mo><mn>2</mn></mrow></mfenced></mrow></mfenced></mrow></mfenced><mfenced><mn>4.</mn></mfenced><mo>+</mo><mn>2.0794</mn></mrow></msup></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r41</mi><mo>=</mo><mn>8192</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8192</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r42</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></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>a</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>12</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>41</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</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"/><data name="inputCompound">true</data></localData></question> Pregunta_11 Ebatzi ondorengo ekuazioak.

Resuelve las siguientes ecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»log«/mi»«mo»§#160;«/mo»«mn»4«/mn»«mo»-«/mo»«mn»2«/mn»«mi»log«/mi»«mo»§#160;«/mo»«mn»5«/mn»«mo»+«/mo»«mi»log«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»3«/mn»«/mfrac»«mi»log«/mi»«mo»§#160;«/mo»«mn»8«/mn»«mo»=«/mo»«mn»1«/mn»«/mrow»«/mstyle»«/math»

b. #e2

c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mn»3«/mn»«mi»ln«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»-«/mo»«mi»ln«/mi»«mfenced»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mo»-«/mo»«mi»ln«/mi»«mo»§#160;«/mo»«mn»3«/mn»«/mrow»«/mstyle»«/math»

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

Resuelve utilizando los trs métods las siguientes sistemas de ecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mi»x«/mi»«mn»3«/mn»«/mfrac»«mo»-«/mo»«mn»2«/mn»«mi»y«/mi»«mo»=«/mo»«mfrac»«mn»3«/mn»«mn»4«/mn»«/mfrac»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«mi»y«/mi»«mo»=«/mo»«mn»4«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mo»-«/mo»«mn»6«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn mathsize=¨12px¨»3«/mn»«mfenced»«mrow»«mi mathsize=¨12px¨»x«/mi»«mo mathsize=¨12px¨»-«/mo»«mn mathsize=¨12px¨»1«/mn»«/mrow»«/mfenced»«mo mathsize=¨12px¨»+«/mo»«mn mathsize=¨12px¨»2«/mn»«mi mathsize=¨12px¨»y«/mi»«mo mathsize=¨12px¨»=«/mo»«mn mathsize=¨12px¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathsize=¨12px¨»2«/mn»«mi mathsize=¨12px¨»x«/mi»«mo mathsize=¨12px¨»-«/mo»«mn mathsize=¨12px¨»7«/mn»«mfenced»«mrow»«mi mathsize=¨12px¨»y«/mi»«mo mathsize=¨12px¨»+«/mo»«mn mathsize=¨12px¨»3«/mn»«/mrow»«/mfenced»«mo mathsize=¨12px¨»=«/mo»«mn mathsize=¨12px¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

Emaitza bakarrik adierazi, ez ipini aldagaia.

]]> 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1.0000000 0.3333333 0 0 a.x=#r1xa.y=#r1yb.x=#r2xb.y=#r2yc.x=#r3xc.y=#r3y]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mfrac><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn 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xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>9</mn><mn>124</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>45</mn><mn>124</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e12</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mtd></mtr><mtr><mtd><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn></mtd></mtr></mtable></mfenced></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>2</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2x</mi><mo>=</mo><msub><mi>e12</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2y</mi><mo>=</mo><msub><mi>e12</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e13</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mtd></mtr></mtable></mfenced></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>74</mn><mn>25</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mo>-</mo><mfrac><mn>61</mn><mn>25</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3x</mi><mo>=</mo><msub><mi>e13</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>74</mn><mn>25</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3y</mi><mo>=</mo><msub><mi>e13</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>61</mn><mn>25</mn></mfrac></math></output></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>x</mi><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>y</mi><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>x</mi><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>y</mi><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mi>x</mi><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mi>y</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</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"/><data name="inputCompound">true</data></localData></question> Pregunta_13 Ebatzi ondorengo ekuazio sistemak.

Resuelve los siguientes sistemas de ecuaciones.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«mn»3«/mn»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«mo»+«/mo»«mn»5«/mn»«mi»y«/mi»«/mrow»«mn»2«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»=«/mo»«mn»7«/mn»«mi»y«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mfrac»«mi»x«/mi»«mi»y«/mi»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mo»-«/mo»«mn»2«/mn»«/mrow»«mn»3«/mn»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»=«/mo»«mn»7«/mn»«mo»-«/mo»«mn»4«/mn»«mi»y«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«mspace linebreak=¨newline¨/»«/mstyle»«/math»

Emaitza bakarrik adierazi, ez ipini aldagaia.

]]> 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 1.0000000 0.3333333 0 0 a.x=#r1xa.y=#r1yb.x=#r2xb.y=#r2y]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow><mn>3</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mn>1</mn><mo>+</mo><mn>5</mn><mi>y</mi></mrow><mn>2</mn></mfrac></mtd></mtr><mtr><mtd><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi></mtd></mtr></mtable></mfenced></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>7</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1x</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>7</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1y</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e12</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mi>x</mi><mi>y</mi></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mfrac style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mo>-</mo><mn>2</mn></mrow><mn>3</mn></mfrac></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mfenced style="font-family:SansSerif;font-size:12px;font-weight:bold"><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi></mtd></mtr></mtable></mfenced></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>4</mn><mn>3</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2x</mi><mo>=</mo><msub><mi>e12</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>4</mn><mn>3</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2y</mi><mo>=</mo><msub><mi>e12</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e13</mi><mo>=</mo><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mtd></mtr><mtr><mtd><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">7</mn><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">y</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mtd></mtr></mtable></mfenced></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>74</mn><mn>25</mn></mfrac><mo>,</mo><mi>y</mi><mo>=</mo><mo>-</mo><mfrac><mn>61</mn><mn>25</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3x</mi><mo>=</mo><msub><mi>e13</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>74</mn><mn>25</mn></mfrac></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3y</mi><mo>=</mo><msub><mi>e13</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>61</mn><mn>25</mn></mfrac></math></output></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>x</mi><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mi>y</mi><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>x</mi><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>y</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mi>y</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</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"/><data name="inputCompound">true</data></localData></question> Pregunta_14-a Ebatzi ondorengo ekuazio sistemak.

Resuelve los siguientes sistemas de ecuaciones.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«mi»y«/mi»«mo»=«/mo»«mn»2«/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»7«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Emaitza bakarrik adierazi, ez ipini aldagaia.

Lehenengo, X-en balio txikiena.

Resuelve los siguientes sistemas de ecuaciones.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mi»y«/mi»«mo»-«/mo»«mi»x«/mi»«mo»=«/mo»«mo»-«/mo»«mn»1«/mn»«mo»+«/mo»«mi»x«/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»«mn»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Emaitza bakarrik adierazi, ez ipini aldagaia.

Lehenengo, X-en balio txikiena.

Resuelve los siguientes sistemas de ecuaciones.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mi»y«/mi»«mo»-«/mo»«mi»x«/mi»«mo»+«/mo»«mn»12«/mn»«mo»=«/mo»«mn»0«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mn»8«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Emaitza bakarrik adierazi, ez ipini aldagaia.

Lehenengo, X-en balio txikiena.

Resuelve los siguientes sistemas de ecuaciones.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«mi»y«/mi»«mo»=«/mo»«msqrt»«mn»3«/mn»«/msqrt»«mi»x«/mi»«/mtd»«/mtr»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mfenced»«mrow»«mi»y«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»=«/mo»«mn»1«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Emaitza bakarrik adierazi, ez ipini aldagaia.

Lehenengo, X-en balio txikiena.

Resuelve los siguientes sistemas de ecuaciones.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»3«/mn»«mi»y«/mi»«mo»=«/mo»«mn»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«mi»y«/mi»«mo»=«/mo»«mo»-«/mo»«mn»12«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Emaitza bakarrik adierazi, ez ipini aldagaia.

Lehenengo, X-en balio txikiena.

Resuelve los siguientes sistemas de ecuaciones.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced open=¨¨ close=¨}¨»«mtable columnalign=¨right¨»«mtr»«mtd»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mi»x«/mi»«mi»y«/mi»«mo»+«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mn»16«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi»x«/mi»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mn»6«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»

Emaitza bakarrik adierazi, ez ipini aldagaia.

Lehenengo, X-en balio txikiena.

La distancia entre dos ciudades A y B es de 7 km. Si dos personas salen al mismo tiempo de dichas ciudades, una al encuentro de la otra, y una va a 12 km/h y la otra a 9 km/h, ¿cuánto tiempo tardarán en encontrarse?

Tardaran / Pasatuko dira {#1} minutos / minutu.

]]> 1.0000000 0.3333333 0 <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"><mi>r1</mi><mo>=</mo><mn>20</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</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="casSession"/></localData></question> Pregunta_17 Determina ezazu 14 cm-ko perimetroa duen triangelu isoszele baten azalera, alde desberdinaren luzera 6 cm-koa dela jakinik.

Determina el área de un triángulo isósceles de perímetro 14 cm y cuyo lado desigual mide 6 cm.

Borobildu emaitza / Redondea el resultado

Azalera / Area {#1} cm².

]]> 1.0000000 0.3333333 0 <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"><mi>r1</mi><mo>=</mo><mn>3</mn><mo>*</mo><msqrt><mn>7</mn></msqrt></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"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</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="casSession"/></localData></question> Pregunta_18

Lor itzazu ondoz ondoko bi zenbaki, elkarren arteko biderkadura 15006 dela jakinik.

Halla dos números consecutivos que multiplicados den 15006.

Lehenengo zenbaki txikiena sartu / Introduce primero el menor número

Zenbakiak / Números:

{#1} eta {#2}

{#3} eta {#4}

]]> 4.0000000 0.3333333 0 <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"><mi>r1</mi><mo>=</mo><mo>-</mo><mn>123</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mo>-</mo><mn>122</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>122</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mn>123</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</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="casSession"/></localData></question> Pregunta_19 Triangelu zuzen bateko kateto bat 4 cm luze da, eta perimetroa 12 cm luze. Lor itzazu triangeluaren neurriak.

En un triángulo rectángulo, uno de los catetos mide 4 cm y el perímetro, 12 cm. Halla sus dimensiones.

Neurriak / Dimensiones:

Hipotenusa {#1} cm eta Katetoa {#2} cm

Resuelve las siguientes ecuaciones lineales.

a. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mrow»«mn»3«/mn»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mn»4«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»5«/mn»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«mn»8«/mn»«/mfrac»«mo»+«/mo»«mn»3«/mn»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mfrac»«mrow»«mn»4«/mn»«mi»x«/mi»«mo»-«/mo»«mn»1«/mn»«/mrow»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«mo»=«/mo»«mn»3«/mn»«mi»x«/mi»«/mstyle»«/math»

b. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced»«mrow»«msqrt»«mn»3«/mn»«/msqrt»«mo»+«/mo»«mi»x«/mi»«/mrow»«/mfenced»«mfenced»«mrow»«msqrt»«mn»3«/mn»«/msqrt»«mo»-«/mo»«mi»x«/mi»«/mrow»«/mfenced»«mo»=«/mo»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/mstyle»«/math»

c. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mn»3«/mn»«mn»4«/mn»«/mfrac»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mfrac»«mn»5«/mn»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»3«/mn»«/mfrac»«mfenced»«mrow»«mfrac»«mi»x«/mi»«mn»12«/mn»«/mfrac»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»6«/mn»«/mfrac»«/mrow»«/mfenced»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«mo»+«/mo»«mi»x«/mi»«/mrow»«mn»3«/mn»«/mfrac»«/mstyle»«/math»

d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac»«mn»3«/mn»«mn»4«/mn»«/mfrac»«mfenced»«mrow»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mfenced»«mrow»«mn»1«/mn»«mo»-«/mo»«mfrac»«mrow»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/mrow»«mn»3«/mn»«/mfrac»«/mrow»«/mfenced»«/mrow»«/mfenced»«mo»=«/mo»«mfrac»«mrow»«mn»2«/mn»«mo»-«/mo»«mi»x«/mi»«/mrow»«mn»5«/mn»«/mfrac»«/mstyle»«/math»

Emaitza bakarrik adierazi, ez ipini aldagaia

]]> 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 1.0000000 0.3333333 0 0 a.x=#r1b.x=#r2c.x=#r3d.x=#r4]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">8</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow></mfenced></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>10</mn><mn>47</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>r1</mi><mo>=</mo><msub><mi>r11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>10</mn><mn>47</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfenced><mrow><msqrt><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msqrt><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow></mfenced><mo>*</mo><mfenced><mrow><msqrt><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></msqrt><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><msup><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></msup><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn></mrow></mfenced></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>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><msub><mi>r21</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></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>r31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mfrac><mo>*</mo><mfenced><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mfrac></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mfrac><mo>*</mo><mfenced><mrow><mfrac><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">12</mn></mfrac><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">6</mn></mfrac></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mfrac></mrow></mfenced></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>155</mn><mn>28</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>r3</mi><mo>=</mo><msub><mi>r31</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>155</mn><mn>28</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r41</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mfrac><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">4</mn></mfrac><mo>*</mo><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfenced><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">1</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mfrac><mrow><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">+</mo><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">3</mn></mfrac></mrow></mfenced></mrow></mfenced><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">=</mo><mfrac><mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">2</mn><mo style="font-family:SansSerif;font-size:12px;font-weight:bold">-</mo><mi style="font-family:SansSerif;font-size:12px;font-weight:bold">x</mi></mrow><mn style="font-family:SansSerif;font-size:12px;font-weight:bold">5</mn></mfrac></mrow></mfenced></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>1</mn><mn>3</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>r4</mi><mo>=</mo><msub><mi>r41</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>3</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>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>2</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>3</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>4</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">true</option><option name="precision">5</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"/><data name="inputCompound">true</data></localData></question> Pregunta_20 Kalkula itzazu errektangelu baten neurriak, 44 cm-ko perimetroa eta 105 cm²-ko azalera dituela jakinik.

Calcula las dimensiones de un rectángulo si su perímetro tiene una longitud de 44 cm y su área, una superficie de 105 cm².

Oinarria alderik luzeena hartu / Haz que sea la base el lado más grande.

Neurriak / Dimensiones:

Oinarria / Base {#1} cm eta Altuera / Altura {#2} cm

]]> 2.0000000 0.3333333 0 <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"><mi>r1</mi><mo>=</mo><mn>15</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mn>7</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</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="casSession"/></localData></question> Pregunta_21 Famili batek 675 €-ko oparia eman nahi du. Gurasoek kantitate bat eman dute eta hiru seme-alaben artean gurasoek emanikoaren laurdena eman dute. Zenbat eman du seme-alaba bakoitzak, hirurek kantitate berdina jarri badute?

Una familia decide dar un donativo de 675 €. Los padres aportan conjuntamente cierta cantidad y entre los tres hijos entregan la cuarta parte de lo que dan sus padres. ¿Cuánto ha donado cada hijo si cada uno de ellos aporta lo mismo?

Erantzuna / Respuesta :

Seme-alaba bakoitzak / Cada hijo aporta {#1} € ipintzen du.

]]> 1.0000000 0.3333333 0 <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"><mi>r1</mi><mo>=</mo><mn>45</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><mn>7</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</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="casSession"/></localData></question> Pregunta_22 Guraso batek 18 € banatu ditu seme-alaben artean, halako moldez non nagusiak ertainak baino 3 € gehiago hartu duen, eta honek txikiak baino 1,2 € gehiago. Zenbat diru hartu du seme-alaba bakoitzak?

Un padre reparte entre sus hijos 18 €, de forma que el mayor reciba 3 € más que el mediano, y éste 1,2 € más que el pequeño. ¿Cuánto recibe cada uno de los hijos?

Erantzuna / Respuesta :

Nagusiak / Hijo mayor {#1} € , Ertainak / Intermedio {#2} € eta Txikiak / Pequeño {#3} €.

]]> 3.0000000 0.3333333 0 <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"><mi>r1</mi><mo>=</mo><mn>8</mn><mo>.</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>5</mn><mo>.</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>4</mn><mo>.</mo><mn>2</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</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="casSession"/></localData></question> Pregunta_23 Lor itzazu ondoz ondoko lau zenbaki oso, lauren baturak 366 balio duela jakinik.

Halla cuatro números enteros consecutivos que sumen 366.

Erantzuna / Respuesta :(Eman ordenatuta, txikienetik handienera / Ordenalos de menor a mayor)

Zenbakiak dira / Los números son {#1} , {#2} , {#3} eta {#4}
.

]]> 4.0000000 0.3333333 0 <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"><mi>r1</mi><mo>=</mo><mn>90</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>91</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r3</mi><mo>=</mo><mn>92</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r4</mi><mo>=</mo><mn>93</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</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="casSession"/></localData></question> Pregunta_24 Lor itzazu bi zenbaki oso, beren arteko batura 7 dela eta beren alderantzizkoen arteko batura 7/12.

Halla dos números sabiendo que suman 7 y sus inversos, 7/12 .

Erantzuna / Respuesta :(Eman ordenatuta, txikienetik handienera / Ordenalos de menor a mayor)

Zenbakiak dira / Los números son {#1} eta {#2}
.

]]> 2.0000000 0.3333333 0 <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"><mi>r1</mi><mo>=</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>4</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</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="casSession"/></localData></question> Pregunta_25 Kalkula itzazu errektangelu baten neurriak, 20 cm-ko perimetroa eta «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msqrt»«mn»58«/mn»«/msqrt»«/mstyle»«/math» cm-ko diagonala dituela jakinik.

Calcula las dimensiones de un rectángulo si su perímetro tiene una longitud de 20 cm y su diagonal mide «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msqrt»«mn»58«/mn»«/msqrt»«/mstyle»«/math» cm.

Oinarria alderik luzeena hartu / Haz que sea la base el lado más grande.

Neurriak / Dimensiones:

Oinarria / Base {#1} cm eta Altuera / Altura {#2} cm

Halla un número de dos cifras si sabemos que la suma de ambas es 8 y que, al dividirlo por el que resulta de invertir el orden de sus cifras, se obtiene 4 de cociente y 3 de resto.

Zenbakia / Número: {#1} .

]]> 1.0000000 0.3333333 0 <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"><mi>r1</mi><mo>=</mo><mn>71</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</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="casSession"/></localData></question> Pregunta_27 Zaldi bat eta asto bat elkarrekin ibiltzen ziren eta sakuak gainean zeramatzaten. Zaldia kexatuz zihoan pisua zela eta astoak esan zion: “zergatik kexatzen zara, nik zure saku bat hartuko banu, nire karga zurearen bikoitza izango zen. Ostera, saku bat ematen badizut, zure karga nirea bezalakoa izango zen. Zenbat saku daramatza bakoitzak?

Un caballo y un burro iban transportando sacos uno al lado del otro. El caballo iba preocupado por el peso que llevaba cada uno y, entonces el burro le dijo: “¿Por qué te preocupas? Si yo cogiera uno de tus sacos mi carga sería el doble de la tuya. Sin embargo, si te diera un saco, tu carga sería igual a la mía”. ¿Cuántos sacos lleva cada uno?

Zaldiak / El caballo {#1} saku / sacos.

Astoak / El burro {#2} saku / sacos.

Una fuente precisa de 6 horas para llenar un recipiente, pero si le acompaña una segunda fuente el recipiente se llena en 4 horas. ¿Cuánto tiempo precisa la segunda fuente para llenar ella sola el recipiente?

Erantzuna: {#1} ordutan / horas.

]]> 1.0000000 0.3333333 0 <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"><mi>r1</mi><mo>=</mo><mn>12</mn></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"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</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="casSession"/></localData></question> Pregunta_29 IIturri batek ontzi bat 2 ordutan betetzen du. Beteta dagoenean, iturri itxi gabe, tapoia kentzen da eta ontzia 4 ordutan husten da. Iturria itxiko balitz zenbat denboratan hustuko zen?.

Un grifo precisa de 2 horas para llenar un recipiente. Cuando el recipiente está lleno, sin cerrar el grifo, se quita el tapón del recipiente y en 4 horas está vacío. ¿Cuánto tiempo sería necesario para que el recipiente se vacíe, si se cerrada el grifo?

Erantzuna: {#1} minutu / minutos.

]]> 1.0000000 0.3333333 0 <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"><mi>r1</mi><mo>=</mo><mn>80</mn></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"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</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="casSession"/></localData></question> Pregunta_3 Ebatzi ondorengo ekuazioak.

Resuelve las siguientes ecuaciones.

a. #e1	b. #e2
c. #e3	d. #e4

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

]]> 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1.0000000 0.3333333 0 0 a.x1=#r11a.x2=#r12b.x=#r21c.x1=#r31c.x2=#r32d.x1=#r41d.x2=#r42]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mn>6</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>-</mo><mn>2</mn><mo>=</mo><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable 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xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>:</mo><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>6</mn><mi>x</mi><mo>+</mo><mn>9</mn><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>6</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>9</mn><mo>=</mo><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e2</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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>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>r21</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r22</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><msup><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup><mo>-</mo><mn>5</mn><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfenced><mo>=</mo><mi>x</mi><mo>+</mo><mn>13</mn></math></input><output><math 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align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>3</mn><mo>*</mo><msqrt><mn>2</mn></msqrt><mo>+</mo><mn>4</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn><mo>*</mo><msqrt><mn>2</mn></msqrt><mo>+</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r32</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>*</mo><msqrt><mn>2</mn></msqrt><mo>+</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e4</mi><mo>:</mo><mo>=</mo><msup><mfenced><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mn>3</mn></msup><mo>-</mo><msup><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mn>3</mn></msup><mo>=</mo><mn>2</mn><mo>*</mo><mfenced><mrow><mn>9</mn><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mfenced><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mn>3</mn></msup><mo>-</mo><msup><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mn>3</mn></msup><mo>=</mo><mn>2</mn><mo>*</mo><mfenced><mrow><mn>9</mn><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e41</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e4</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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><mn>2</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r41</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r42</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</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>a</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>12</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>32</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>41</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>42</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">true</option><option name="precision">5</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"/><data name="inputCompound">true</data></localData></question> Pregunta_30 Langile batek kamioi birekin lan egiten du A eta B. A kamioiak 15 tona eta B kamioiak 9 tona eraman ditzakete.300 tona are eramateagatik 108 €-tako gastua izan zuen. Zenbat bidai egin zituen kamioi bakoitzarekin ,A kamioiak 6 € eta B kamioiak 3 €-ko gastuak baldin badute?

Un trabajador utiliza dos tipos de camiones (A y B) para desempeñar su trabajo. El camión A puede trasportar 15 toneladas y el camión B 9. Por llevar 300 toneladas de arena tuvo un gasto de 108 €. ¿Cuántos viajes realizó cada camión, si el camión A presenta un gasto de 6 € por viaje y el camión B de 3 € por viaje?

Erantzuna:

{#1} bidai A kamioiak / viajes camión A.

{#2} bidai B kamioiak / viajes camión B.

]]> 2.0000000 0.3333333 0 <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"><mi>r1</mi><mo>=</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mn>20</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>resolver</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>15</mn><mi>x</mi><mo>+</mo><mn>9</mn><mi>y</mi><mo>=</mo><mn>300</mn></mtd></mtr><mtr><mtd><mn>6</mn><mi>x</mi><mo>+</mo><mn>3</mn><mi>y</mi><mo>=</mo><mn>108</mn></mtd></mtr></mtable></mfenced></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>8</mn><mo>,</mo><mi>y</mi><mo>=</mo><mn>20</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</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="casSession"/></localData></question> Pregunta_4 Ebatzi ondorengo ekuazioak.

Resuelve las siguientes ecuaciones.

a. #e1	b. #e2
c. #e3

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

]]> 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 1.0000000 0.3333333 0 0 a.x1=#r11a.x2=#r12a.x3=#r13a.x4=#r14b.x1=#r21b.x2=#r22c.x1=#r31c.x2=#r32c.x3=#r33c.x4=#r34]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mn>9</mn><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>12</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>12</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mo>=</mo><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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><mn>1</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>1</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><msqrt><mn>3</mn></msqrt><mn>3</mn></mfrac></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><msqrt><mn>3</mn></msqrt><mn>3</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>r11</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><msup><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfenced><mn>2</mn></msup><mo>-</mo><mn>5</mn><mo>*</mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfenced><mo>+</mo><mn>4</mn><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfenced><mn>2</mn></msup><mo>-</mo><mn>5</mn><mo>*</mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfenced><mo>+</mo><mn>4</mn><mo>=</mo><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e3</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable 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xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>*</mo><msqrt><mn>2</mn></msqrt></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>a</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>12</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>3</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>13</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>4</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>14</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>22</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>32</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>3</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>33</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>4</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>34</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">true</option><option name="precision">5</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"/><data name="inputCompound">true</data></localData></question> Pregunta_5 Ebatzi ondorengo ekuazioak aurretik faktoreetan deskonposatuz.

Resuelve las siguientes ecuaciones descomponiendo en factores previamente.

a. #e1	b. #e2
c. #e3

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

]]> 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1.0000000 0.3333333 0 0 a.x1=#r11a.x2=#r12a.x3=#r13a.x4=#r14b.x1=#r21b.x2=#r22b.x3=#r23c.x1=#r31c.x2=#r32]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mn>5</mn><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>30</mn><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>6</mn><mi>x</mi><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>30</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>6</mn><mo>*</mo><mi>x</mi><mo>=</mo><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>6</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mfrac><msqrt><mn>5</mn></msqrt><mn>5</mn></mfrac></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><msqrt><mn>5</mn></msqrt><mn>5</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>r11</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>4</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r23</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></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>e3</mi><mo>:</mo><mo>=</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mo>=</mo><mn>0</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e3</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></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>r32</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r33</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>4</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r34</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></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>a</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>12</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>3</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>13</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>4</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>14</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>22</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><msub><mi>x</mi><mn>3</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>23</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>32</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">true</option><option name="precision">5</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"/><data name="inputCompound">true</data></localData></question> Pregunta_6 Ebatzi ondorengo ekuazioak aurretik faktoreetan deskonposatuz.

Resuelve las siguientes ecuaciones descomponiendo en factores previamente.

a. #e1	b. #e2
c. #e3

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

]]> 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 1.0000000 0.3333333 0 0 a.x1=#r11a.x2=#r12b.x1=#r21c.x1=#r31c.x2=#r32]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mn>7</mn></mrow><mn>3</mn></mfrac><mo>=</mo><mfrac><mn>2</mn><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfrac><mo>+</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>x</mi><mo>+</mo><mn>7</mn></mrow><mn>3</mn></mfrac><mo>=</mo><mfrac><mn>2</mn><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfrac><mo>+</mo><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" 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xmlns="http://www.w3.org/1998/Math/MathML"><mi>r13</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r14</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>4</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>:</mo><mo>=</mo><mfrac><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfrac><mo>-</mo><mfrac><mn>1</mn><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>1</mn></mrow></mfrac><mo>=</mo><mn>1</mn></math></input><output><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r22</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r23</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><mfrac><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mn>3</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac><mo>+</mo><mfrac><mrow><mn>3</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfrac><mo>=</mo><mfrac><mn>13</mn><mrow><mn>5</mn><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfenced></mrow></mfrac></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>3</mn></mrow><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn></mrow></mfrac><mo>+</mo><mfrac><mrow><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfrac><mo>=</mo><mfrac><mn>13</mn><mrow><mn>5</mn><mo>*</mo><mfenced><mrow><mi>x</mi><mo>-</mo><mn>2</mn></mrow></mfenced></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e3</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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>3</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mn>17</mn><mn>15</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>r31</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>17</mn><mn>15</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r32</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r33</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>4</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r34</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>3</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></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>a</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>a</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>12</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>32</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">true</option><option name="precision">5</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"/><data name="inputCompound">true</data></localData></question> Pregunta_7 Ebatzi ondorengo ekuazioak.

Resuelve las siguientes ecuaciones.

a. #e1	b. #e2
c. #e3	d. #e4

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

]]> 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 1.0000000 0.3333333 0 0 a.x=#r11b.x=#r21c.x=#r31d.x=#r41]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mn>3</mn><mo>-</mo><msqrt><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msqrt><mo>=</mo><mi>x</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>-</mo><msqrt><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msqrt><mo>=</mo><mi>x</mi></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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>2</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r12</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>:</mo><mo>=</mo><msqrt><mrow><mn>1</mn><mo>+</mo><msqrt><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msqrt></mrow></msqrt><mo>=</mo><mn>2</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mrow><mn>1</mn><mo>+</mo><msqrt><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msqrt></mrow></msqrt><mo>=</mo><mn>2</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e2</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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>8</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r21</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r22</mi><mo>=</mo><msub><mi>e21</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e3</mi><mo>:</mo><mo>=</mo><msqrt><mrow><mi>x</mi><mo>+</mo><mn>7</mn></mrow></msqrt><mo>+</mo><msqrt><mi>x</mi></msqrt><mo>=</mo><mn>7</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mrow><mi>x</mi><mo>+</mo><mn>7</mn></mrow></msqrt><mo>+</mo><msqrt><mi>x</mi></msqrt><mo>=</mo><mn>7</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e3</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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>9</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r31</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r32</mi><mo>=</mo><msub><mi>e31</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e4</mi><mo>:</mo><mo>=</mo><msqrt><mrow><mfenced><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfenced></mrow></msqrt><mo>=</mo><mi>x</mi><mo>-</mo><mn>1</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mrow><mfenced><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfenced></mrow></msqrt><mo>=</mo><mi>x</mi><mo>-</mo><mn>1</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e41</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e4</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r41</mi><mo>=</mo><mo>{</mo><mo>}</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd/></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r42</mi><mo>=</mo><msub><mi>e41</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></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>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>41</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</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"/><data name="inputCompound">true</data></localData></question> Pregunta_8-a Ebatzi ondorengo ekuazioak.

Resuelve las siguientes ecuaciones.

a. #e1	b. #e2
c. #e3	d. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«msup»«mn»25«/mn»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»4«/mn»«/mrow»«/msup»«mo»=«/mo»«msup»«mfenced»«mfrac»«mn»1«/mn»«mn»5«/mn»«/mfrac»«/mfenced»«mrow»«mn»2«/mn»«mi»x«/mi»«/mrow»«/msup»«/mrow»«/mstyle»«/math»
e. #e5

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

]]> 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 1.0000000 0.3333333 0 0 a.x=#r11b.x=#r21c.x1=#r31c.x2=#r32d.x=#r41e.x=#r51]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><msup><mn>2</mn><mrow><mn>3</mn><mi>x</mi><mo>-</mo><mn>5</mn></mrow></msup><mo>=</mo><mn>1024</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>2</mn><mrow><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>5</mn></mrow></msup><mo>=</mo><mn>1024</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></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>5.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r11</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r12</mi><mo>=</mo><msub><mi>e11</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>1</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>32</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>41</mn><mspace linebreak="newline"/><mi mathvariant="normal">e</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>51</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</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"/><data name="inputCompound">true</data></localData></question> Pregunta_8-b Ebatzi ondorengo ekuazioak.

Resuelve las siguientes ecuaciones.

a. #e1	b. #e2
c. #e3	d. #e4
e. #e5

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

]]> 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1.0000000 0.3333333 0 0 a.x=#r11b.x=#r21c.x=#r31d.x=#r41e.x=#r51]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><msup><mn>9</mn><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msup><mo>-</mo><mn>2</mn><mo>*</mo><msup><mn>3</mn><mi>x</mi></msup><mo>-</mo><mn>27</mn><mo>=</mo><mn>0</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>9</mn><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></msup><mo>-</mo><mn>2</mn><mo>*</mo><msup><mn>3</mn><mi>x</mi></msup><mo>-</mo><mn>27</mn><mo>=</mo><mn>0</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math 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style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r51</mi><mo>=</mo><msub><mi>e51</mi><mrow><mn>1</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r52</mi><mo>=</mo><msub><mi>e51</mi><mrow><mn>2</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></math></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>a</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>11</mn><mspace linebreak="newline"/><mi>b</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>21</mn><mspace linebreak="newline"/><mi>c</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>31</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>41</mn><mspace linebreak="newline"/><mi mathvariant="normal">e</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>51</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</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"/><data name="inputCompound">true</data></localData></question> Pregunta_9 Ebatzi ondorengo ekuazioak.

Resuelve las siguientes ecuaciones.

a. #e1	b. #e2
c. #e3	d. #e4

Emaitza bakarrik adierazi, ez ipini aldagaia.

Emaitza bat baino gehiago dituenean, sartu ordenatuta txikienetik handienera.

En el caso de varias soluciones, introduce ordenados de menor a mayor.

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1.0000000 0.3333333 0 0 a.x=#r11b.x=#r21c.x1=#r31c.x2=#r32d.x=#r41]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><group style="font-family:SansSerif;font-size:12px;font-weight:bold"><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>:</mo><mo>=</mo><mn>2</mn><mo>*</mo><msup><exponentiale/><mrow><mi>x</mi><mo>-</mo><mn>4</mn></mrow></msup><mo>=</mo><mn>3</mn></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>*</mo><msup><exponentiale/><mrow><mi>x</mi><mo>-</mo><mn>4</mn></mrow></msup><mo>=</mo><mn>3</mn></math></output></command><command style="font-family:SansSerif;font-size:14px;font-weight:bold"><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e11</mi><mo>=</mo><mi>resolver</mi><mfenced><mrow><mi>e1</mi><mo>,</mo><mi>x</mi></mrow></mfenced></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced 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linebreak="newline"/><mi>c</mi><mo>.</mo><msub><mi>x</mi><mn>2</mn></msub><mo>=</mo><mo>#</mo><mi>r</mi><mn>32</mn><mspace linebreak="newline"/><mi mathvariant="normal">d</mi><mo>.</mo><mi>x</mi><mo>=</mo><mo>#</mo><mi>r</mi><mn>41</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</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"/><data name="inputCompound">true</data></localData></question>