7. Números complejos Complx. C7. S04. a. Ecuación [Algebraico]. SS-MG. Operatoria números complejos Determina «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»X«/mi»«/math» resolviendo la siguiente ecuación  

      

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mo»#«/mo»«mi»z«/mi»«mn»1«/mn»«/mrow»«/mfenced»«mo»+«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»z«/mi»«mn»2«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«mi»X«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»z«/mi»«mn»3«/mn»«/mrow»«/mfenced»«mo»+«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»z«/mi»«mn»4«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«mi»X«/mi»«/math»

 

 

Observaciones: 

- Escribe el resultado con el editor de wiris si es una fracción.

- La unidad imaginaria es «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtext mathcolor=¨#FF0000¨»j«/mtext»«/math»

]]>  

Resolvemos la ecuación, despejando «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»X«/mi»«/math»

 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»z«/mi»«mn»1«/mn»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»z«/mi»«mn»2«/mn»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mi»X«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»z«/mi»«mn»3«/mn»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»z«/mi»«mn»4«/mn»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mi»X«/mi»«/math»

 

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»z«/mi»«mn»2«/mn»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mi»X«/mi»«mo»§#160;«/mo»«mo»-«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»z«/mi»«mn»4«/mn»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mi»X«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»z«/mi»«mn»3«/mn»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mo»-«/mo»«mo»§#160;«/mo»«mo»(«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»z«/mi»«mn»1«/mn»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«/math»

 

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mo»§#160;«/mo»«mo»#«/mo»«mi»z«/mi»«mn»2«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»s«/mi»«mn»1«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«mn»4«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»s«/mi»«mn»2«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mn»4«/mn»«mo»#«/mo»«mi»j«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mo»§#160;«/mo»«mi»X«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»z«/mi»«mn»3«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»s«/mi»«mn»3«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«mn»1«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»s«/mi»«mn»4«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mn»1«/mn»«mo»#«/mo»«mi»j«/mi»«mo»§#160;«/mo»«/math»

 

   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced»«mrow»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mn»6«/mn»«mo»§#160;«/mo»«/mrow»«/mfenced»«mo»§#160;«/mo»«mi»X«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mn»5«/mn»«/math»

 

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»X«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mfrac»«mrow»«mo»#«/mo»«mi»c«/mi»«mn»5«/mn»«/mrow»«mrow»«mo»#«/mo»«mi»c«/mi»«mn»6«/mn»«/mrow»«/mfrac»«/math»

 

 Resolvemos la división de números complejos amplificando por el conjugado del denominador

 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»X«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mfrac»«mrow»«mo»#«/mo»«mi»c«/mi»«mn»5«/mn»«/mrow»«mrow»«mo»#«/mo»«mi»c«/mi»«mn»6«/mn»«/mrow»«/mfrac»«mo»§#160;«/mo»«mo»§#183;«/mo»«mo»§#160;«/mo»«mfrac»«mrow»«mo»#«/mo»«mi»c«/mi»«mn»7«/mn»«/mrow»«mrow»«mo»#«/mo»«mi»c«/mi»«mn»7«/mn»«/mrow»«/mfrac»«/math»

 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»X«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mfrac»«mrow»«mfenced»«mrow»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mn»5«/mn»«mo»§#160;«/mo»«/mrow»«/mfenced»«mo»§#160;«/mo»«mo»§#183;«/mo»«mo»§#160;«/mo»«mfenced»«mrow»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mn»7«/mn»«mo»§#160;«/mo»«/mrow»«/mfenced»«/mrow»«mrow»«mfenced»«mrow»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mn»6«/mn»«mo»§#160;«/mo»«/mrow»«/mfenced»«mo»§#160;«/mo»«mo»§#183;«/mo»«mo»§#160;«/mo»«mfenced»«mrow»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mn»7«/mn»«mo»§#160;«/mo»«/mrow»«/mfenced»«/mrow»«/mfrac»«/math»

 

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»X«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mfrac»«mrow»«mo»#«/mo»«mi»a«/mi»«mn»5«/mn»«mo»§#160;«/mo»«mo»§#183;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«mn»7«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»s«/mi»«mn»5«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«mn»5«/mn»«mo»§#160;«/mo»«mo»§#183;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mn»7«/mn»«mo»#«/mo»«mi»j«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»s«/mi»«mn»6«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mn»5«/mn»«mo»#«/mo»«mi»j«/mi»«mo»§#160;«/mo»«mo»§#183;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«mn»7«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»s«/mi»«mn»6«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mn»5«/mn»«mo»#«/mo»«mi»j«/mi»«mo»§#160;«/mo»«mo»§#183;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mn»7«/mn»«mo»#«/mo»«mi»j«/mi»«/mrow»«mrow»«msup»«mfenced»«mrow»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«mn»6«/mn»«mo»§#160;«/mo»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»§#160;«/mo»«mo»-«/mo»«mo»§#160;«/mo»«msup»«mfenced»«mrow»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mn»6«/mn»«mo»§#160;«/mo»«/mrow»«/mfenced»«mn»2«/mn»«/msup»«mo»#«/mo»«msup»«mi»j«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«/math»

 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»X«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mfrac»«mrow»«mo»#«/mo»«mi»c«/mi»«mn»8«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»s«/mi»«mn»7«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mn»9«/mn»«mo»#«/mo»«mi»j«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»s«/mi»«mn»8«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mn»10«/mn»«mo»#«/mo»«mi»j«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»s«/mi»«mn»9«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mn»11«/mn»«mo»#«/mo»«msup»«mi»j«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«mo»#«/mo»«mi»c«/mi»«mn»12«/mn»«mo»§#160;«/mo»«mo»-«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mn»13«/mn»«mo»§#160;«/mo»«mo»§#183;«/mo»«mo»§#160;«/mo»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/math»

 

Se reemplaza «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«msup»«mi»j«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«mo»§#160;«/mo»«mo»-«/mo»«mn»1«/mn»«/math»


 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»X«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mfrac»«mrow»«mo»#«/mo»«mi»c«/mi»«mn»8«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»s«/mi»«mn»7«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mn»9«/mn»«mo»#«/mo»«mi»j«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»s«/mi»«mn»8«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mn»10«/mn»«mo»#«/mo»«mi»j«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»s«/mi»«mn»9«/mn»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mn»11«/mn»«mo»§#160;«/mo»«mo»§#183;«/mo»«mo»§#160;«/mo»«mo»-«/mo»«mn»1«/mn»«/mrow»«mrow»«mo»#«/mo»«mi»c«/mi»«mn»12«/mn»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mn»13«/mn»«/mrow»«/mfrac»«/math»

 

 

Se reducen términos semejantes

 

 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»X«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mfrac»«mrow»«mo»#«/mo»«mi»c«/mi»«mn»18«/mn»«/mrow»«mrow»«mo»#«/mo»«mi»c«/mi»«mn»15«/mn»«/mrow»«/mfrac»«/math»

 

Entonces el resultado de la ecuación es

 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»X«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mn»19«/mn»«/math»

 

 

 

 

 

]]> 1 .3333333 0 0 X=#sol]]> Muy bien

]]> *]]> Revisemos el procedimiento para mejores resultados, si aún tienes dudas consulta a tu profesor

]]> - Observaciones

27/06 revisado por Gastón Lastra, Sede Curicó

 

PENDIENTE: en la retroalimentación se podrían agregar mas comentarios del despeje de la ecuación MODIFICADO el 01/07 por MG

 PENDIENTE: en la retro hay muchos signos + y - juntos, eso podría confundir a los alumnos MODIFICADO el 01/07 por MG

PENDIENTE: "Si el resultado es una fracción la ingresas con el editor de wiris." no suena bien "la ingresas"  MODIFICADO el 01/07 por MG

 

 

05/06 revisado por Gastón Lastra Sede Curicó

PENDIENTE. se sugiere tener cuidado en el tercer decimal cuando el número es pequeño por ejemplo 0.0547945, si se ingresa como 0.055 arroja error (adjunto foto) MODIFICADO el 10/06 por MG

]]> 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<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo></math></comment></maction><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Números</mi><mo> </mo><mi>complejos</mi><mo> </mo><mi>z1</mi><mo>,</mo><mo> </mo><mi>z2</mi><mo>,</mo><mo> </mo><mi>z3</mi><mo> </mo><mi>y</mi><mo> </mo><mi>z4</mi></math></comment></maction><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>j</mi><mo>=</mo><imaginaryi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>15</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo></mtd></mtr><mtr><mtd><mi>b1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>10</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo></mtd></mtr><mtr><mtd><mi>a3</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>5</mn><mo>.</mo><mo>.</mo><mn>18</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo></mtd></mtr><mtr><mtd><mi>b3</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>7</mn><mo>.</mo><mo>.</mo><mn>15</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo></mtd></mtr></mtable><mrow><mi>a1</mi><mo>≠</mo><mi>a3</mi><mo>∧</mo><mi>b1</mi><mo>≠</mo><mi>b3</mi></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>6</mn><mo>.</mo><mo>.</mo><mn>12</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo></mtd></mtr><mtr><mtd><mi>b2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>.</mo><mo>.</mo><mn>19</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo></mtd></mtr><mtr><mtd><mi>a4</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>4</mn><mo>.</mo><mo>.</mo><mn>11</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo></mtd></mtr><mtr><mtd><mi>b4</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>.</mo><mo>.</mo><mn>15</mn><mo>)</mo><mo>*</mo><mi>aleatorio</mi><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo></mtd></mtr></mtable><mrow><mfenced><mrow><mi>a2</mi><mo>-</mo><mi>a4</mi></mrow></mfenced><mo>≠</mo><mn>0</mn><mo>∧</mo><mfenced><mrow><mi>b2</mi><mo>-</mo><mi>b4</mi></mrow></mfenced><mo>≠</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z1</mi><mo>=</mo><mi>a1</mi><mo>+</mo><mi>b1</mi><mo>*</mo><imaginaryi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z2</mi><mo>=</mo><mi>a2</mi><mo>+</mo><mi>b2</mi><mo>*</mo><imaginaryi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z3</mi><mo>=</mo><mi>a3</mi><mo>+</mo><mi>b3</mi><mo>*</mo><imaginaryi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z4</mi><mo>=</mo><mi>a4</mi><mo>+</mo><mi>b4</mi><mo>*</mo><imaginaryi/></math></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo></math></comment></maction><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>variables</mi><mo> </mo><mi>para</mi><mo> </mo><mi>la</mi><mo> </mo><mi>retroalimentación</mi></math></comment></maction><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><mi>a3</mi><mo>-</mo><mi>a1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi><mo>=</mo><mi>b3</mi><mo>-</mo><mi>b1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c3</mi><mo>=</mo><mi>a2</mi><mo>-</mo><mi>a4</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c4</mi><mo>=</mo><mi>b2</mi><mo>-</mo><mi>b4</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c5</mi><mo>=</mo><mi>c1</mi><mo>+</mo><mi>c2</mi><mo>*</mo><imaginaryi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c6</mi><mo>=</mo><mi>c3</mi><mo>+</mo><mi>c4</mi><mo>*</mo><imaginaryi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a5</mi><mo>=</mo><mi>parte_real</mi><mo>(</mo><mi>c5</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b5</mi><mo>=</mo><mi>parte_imaginaria</mi><mo>(</mo><mi>c5</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a6</mi><mo>=</mo><mi>parte_real</mi><mo>(</mo><mi>c6</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b6</mi><mo>=</mo><mi>parte_imaginaria</mi><mo>(</mo><mi>c6</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b6</mi><mo>=</mo><mfenced close="|" open="|"><mi>b6</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c7</mi><mo>=</mo><mi>c3</mi><mo>-</mo><mi>c4</mi><mo>*</mo><imaginaryi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a7</mi><mo>=</mo><mi>c3</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b7</mi><mo>=</mo><mo>-</mo><mi>c4</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c8</mi><mo>=</mo><mi>a5</mi><mo>*</mo><mi>a7</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c9</mi><mo>=</mo><mi>a5</mi><mo>*</mo><mi>b7</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c10</mi><mo>=</mo><mi>b5</mi><mo>*</mo><mi>a7</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c11</mi><mo>=</mo><mi>b5</mi><mo>*</mo><mi>b7</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c12</mi><mo>=</mo><msup><mi>a6</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c13</mi><mo>=</mo><msup><mi>b6</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c14</mi><mo>=</mo><mo>-</mo><mi>c11</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c15</mi><mo>=</mo><mi>c12</mi><mo>+</mo><mi>c13</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c16</mi><mo>=</mo><mi>c8</mi><mo>+</mo><mi>c14</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c17</mi><mo>=</mo><mi>c9</mi><mo>+</mo><mi>c10</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c18</mi><mo>=</mo><mi>c16</mi><mo>+</mo><mi>c17</mi><mo>*</mo><imaginaryi/></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c19</mi><mo>=</mo><mfrac><mi>c18</mi><mi>c15</mi></mfrac></math></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo></math></comment></maction><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>signos</mi></math></comment></maction><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a4</mi><mo>=</mo><mo>-</mo><mi>a4</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b4</mi><mo>=</mo><mo>-</mo><mi>b4</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><mo>-</mo><mi>a1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><mo>-</mo><mi>b1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a4</mi><mo>&gt;</mo><mn>0</mn></mrow><mrow><mi>s1</mi><mo>=</mo><mo>&quot;</mo><mo>+</mo><mo>&quot;</mo></mrow><mrow><mi>s1</mi><mo>=</mo><mo>&quot;</mo><mo>&quot;</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>b4</mi><mo>&gt;</mo><mn>0</mn></mrow><mrow><mi>s2</mi><mo>=</mo><mo>&quot;</mo><mo>+</mo><mo>&quot;</mo></mrow><mrow><mi>s2</mi><mo>=</mo><mo>&quot;</mo><mo>&quot;</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a1</mi><mo>&gt;</mo><mn>0</mn></mrow><mrow><mi>s3</mi><mo>=</mo><mo>&quot;</mo><mo>+</mo><mo>&quot;</mo></mrow><mrow><mi>s3</mi><mo>=</mo><mo>&quot;</mo><mo>&quot;</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>b1</mi><mo>&gt;</mo><mn>0</mn></mrow><mrow><mi>s4</mi><mo>=</mo><mo>&quot;</mo><mo>+</mo><mo>&quot;</mo></mrow><mrow><mi>s4</mi><mo>=</mo><mo>&quot;</mo><mo>&quot;</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a5</mi><mo>&gt;</mo><mn>0</mn></mrow><mrow><mi>s5</mi><mo>=</mo><mo>&quot;</mo><mo>+</mo><mo>&quot;</mo></mrow><mrow><mi>s5</mi><mo>=</mo><mo>&quot;</mo><mo>&quot;</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>b5</mi><mo>&gt;</mo><mn>0</mn></mrow><mrow><mi>s6</mi><mo>=</mo><mo>&quot;</mo><mo>+</mo><mo>&quot;</mo></mrow><mrow><mi>s6</mi><mo>=</mo><mo>&quot;</mo><mo>&quot;</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>c9</mi><mo>&gt;</mo><mn>0</mn></mrow><mrow><mi>s7</mi><mo>=</mo><mo>&quot;</mo><mo>+</mo><mo>&quot;</mo></mrow><mrow><mi>s7</mi><mo>=</mo><mo>&quot;</mo><mo>&quot;</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>c10</mi><mo>&gt;</mo><mn>0</mn></mrow><mrow><mi>s8</mi><mo>=</mo><mo>&quot;</mo><mo>+</mo><mo>&quot;</mo></mrow><mrow><mi>s8</mi><mo>=</mo><mo>&quot;</mo><mo>&quot;</mo></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>c11</mi><mo>&gt;</mo><mn>0</mn></mrow><mrow><mi>s9</mi><mo>=</mo><mo>&quot;</mo><mo>+</mo><mo>&quot;</mo></mrow><mrow><mi>s9</mi><mo>=</mo><mo>&quot;</mo><mo>&quot;</mo></mrow></apply></math></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo></math></comment></maction><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Solución</mi><mo> </mo><mi>en</mi><mo> </mo><mi>c19</mi><mo> </mo><mi>y</mi><mo> </mo><mi>sol</mi></math></comment></maction><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mi>z3</mi><mo>-</mo><mi>z1</mi></mrow><mrow><mi>z2</mi><mo>-</mo><mi>z4</mi></mrow></mfrac></math></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo></math></comment></maction></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>*</mo></math>]]></correctAnswer><correctAnswer id="2">-</correctAnswer></correctAnswers><assertions><assertion name="equivalent_all" correctAnswer="1"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">true</option><option name="imaginary_unit">j</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question>