3. Ecuaciones y sistemas de ecuaciones EySE. C2. S02. a. LS. 2do grado. Resolver (algebraico): de la forma ax^2+bx+c=dx+e Dada la siguiente  ecuación cuadrática de una variable : #ECUA  . Al reducir los términos semejantes en la siguiente ecuación y determinar sus soluciones.

 

#PREG

 

 

Observacion:

- Si la raiz no es exacta, dejar los resultados expresados con raiz, simplificados a la mínima expresión.

]]> Recordar que,  la expresión general  de una ecuación cuadrática  de una variable se expresa como:

 

 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»b«/mi»«mi»x«/mi»«mo»+«/mo»«mi»c«/mi»«mo»=«/mo»«mn»0«/mn»«/math»    para   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»§#8800;«/mo»«mn»0«/mn»«/math»

 

 

 debes considerar que  siempre existen dos soluciones de la forma

 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable»«mtr»«mtd»«msub»«mi»x«/mi»«mn»1«/mn»«/msub»«mo»=«/mo»«mfrac»«mrow»«mo»-«/mo»«mi»b«/mi»«mo»+«/mo»«msqrt»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«mi»a«/mi»«mi»c«/mi»«/msqrt»«/mrow»«mrow»«mn»2«/mn»«mi»a«/mi»«/mrow»«/mfrac»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«msub»«mi»x«/mi»«mn»2«/mn»«/msub»«mo»=«/mo»«mfrac»«mrow»«mo»-«/mo»«mi»b«/mi»«mo»-«/mo»«msqrt»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«mi»a«/mi»«mi»c«/mi»«/msqrt»«/mrow»«mrow»«mn»2«/mn»«mi»a«/mi»«/mrow»«/mfrac»«/mtd»«/mtr»«/mtable»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«/math»

 

 


Como la ecuación  planteada  es:

 

#ECUA

 

 


Para resolverla, primero debemos dejar la ecuación equivalente a cero. Así, tenemos

 

#ECUA1

 
 
Luego, en la ecuación cuadrática obtenida, identificamos cuánto valen los parámetros  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»c«/mi»«/math»
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable»«mtr»«mtd»«mi»a«/mi»«mo»=«/mo»«mi»#a1«/mi»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mi»b«/mi»«mo»=«/mo»«mi»#b1«/mi»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mi»c«/mi»«mo»=«/mo»«mi»#c1«/mi»«/mtd»«/mtr»«/mtable»«/math»
 
 

Reemplazamos en la solución de la ecuación  mencionada anteriormente,  según corresponda y obtenemos
 

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»x«/mi»«mn»1«/mn»«/msub»«mo»=«/mo»«mi»#solu1«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msub»«mi»x«/mi»«mn»2«/mn»«/msub»«mo»=«/mo»«mi»#solu2«/mi»«/math»
 
 
Resolviendo, tenemos que
 
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable»«mtr»«mtd»«msub»«mi»x«/mi»«mn»1«/mn»«/msub»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#solu3«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#solu5«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#solu7«/mi»«/mtd»«/mtr»«mtr»«mtd/»«mtd/»«mtd/»«mtd/»«mtd/»«mtd/»«mtd/»«/mtr»«mtr»«mtd»«msub»«mi»x«/mi»«mn»2«/mn»«/msub»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#solu4«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#solu6«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#solu8«/mi»«/mtd»«/mtr»«/mtable»«mspace linebreak=¨newline¨/»«/math»

 
 
Por lo tanto la #PREG2 es: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«/math»
 

 
 
 
 

Reporta y/o califica esta pregunta:

1. Copia este código: EySE. C2S02. a. LS.

2. Presiona este enlace, pega el código y completa el formulario

 

 
]]> 1 1 0 0 La solución indicada es=#sol]]> ¡Muy Bien!

 

]]> *]]> Al parecer cometiste un error, revisa tu desarrollo y consulta a tu profesor si aún te quedan dudas.

 

]]> <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"><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>1</mn><mo>,</mo><mn>1</mn></mrow></mfenced><mo>*</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>a3</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>a4</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>a5</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mo>-</mo><mn>5</mn><mo>,</mo><mn>5</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>b1</mi><mo>=</mo><mi>a2</mi><mo>-</mo><mi>a4</mi></mtd></mtr><mtr><mtd><mi>c1</mi><mo>=</mo><mi>a3</mi><mo>-</mo><mi>a5</mi></mtd></mtr><mtr><mtd><mi>discr1</mi><mo>=</mo><msup><mi>b1</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>a1</mi><mo>*</mo><mi>c1</mi></mtd></mtr></mtable><mrow><mi>discr1</mi><mo>&gt;</mo><mn>0</mn></mrow></apply></mtd></mtr><mtr><mtd/></mtr></mtable></math></comment></maction><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><mfenced><mrow><mn>1</mn><mo>,</mo><mn>1</mn></mrow></mfenced><mo>*</mo><mi>aleatorio</mi><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mo>-</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mo>-</mo><mn>5</mn><mo>,</mo><mo>-</mo><mn>1</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>a3</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mo>-</mo><mn>5</mn><mo>,</mo><mo>-</mo><mn>1</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>a4</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>1</mn><mo>,</mo><mn>5</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>a5</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>1</mn><mo>,</mo><mn>5</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>b1</mi><mo>=</mo><mi>a2</mi><mo>-</mo><mi>a4</mi></mtd></mtr><mtr><mtd><mi>c1</mi><mo>=</mo><mi>a3</mi><mo>-</mo><mi>a5</mi></mtd></mtr><mtr><mtd><mi>discr1</mi><mo>=</mo><msup><mi>b1</mi><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mi>a1</mi><mo>*</mo><mi>c1</mi></mtd></mtr></mtable><mrow><mi>discr1</mi><mo>&gt;</mo><mn>0</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ECUA</mi><mo>=</mo><mi>a1</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>a2</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a3</mi><mo>=</mo><mi>a4</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a5</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>+</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x2</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>-</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></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>x1</mi><mo>&gt;</mo><mi>x2</mi></mrow><mtable><mtr><mtd><mi>sol</mi><mo>=</mo><mi>x1</mi></mtd></mtr><mtr><mtd><mi>PREG</mi><mo>=</mo><mo>&quot;</mo><mi>La</mi><mo>&nbsp;</mo><mi>solución</mi><mo>&nbsp;</mo><mi>mayor</mi><mo>&nbsp;</mo><mi>es</mi><mo>:</mo><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>PREG2</mi><mo>=</mo><mo>&quot;</mo><mi>solución</mi><mo>&nbsp;</mo><mi>mayor</mi><mo>&quot;</mo></mtd></mtr></mtable><mtable><mtr><mtd><mi>sol</mi><mo>=</mo><mi>x1</mi></mtd></mtr><mtr><mtd><mi>PREG</mi><mo>=</mo><mo>&quot;</mo><mi>La</mi><mo>&nbsp;</mo><mi>solución</mi><mo>&nbsp;</mo><mi>menor</mi><mo>&nbsp;</mo><mi>es</mi><mo>:</mo><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>PREG2</mi><mo>=</mo><mo>&quot;</mo><mi>solución</mi><mo>&nbsp;</mo><mi>menor</mi><mo>&quot;</mo></mtd></mtr></mtable></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>RETROALIMENTACIÓN</mi></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ECUA1</mi><mo>=</mo><mi>a1</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>b1</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>c1</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a6</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>a1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi><mo>=</mo><mo>-</mo><mi>b1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>discr2</mi><mo>=</mo><msqrt><mi>discr1</mi></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b3</mi><mo>=</mo><msup><mi>b1</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi><mo>=</mo><mn>4</mn><mo>*</mo><mi>a1</mi><mo>*</mo><mi>c1</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>a1</mi><mo>⩾</mo><mn>0</mn><mo>∧</mo><mi>b1</mi><mo>⩾</mo><mn>0</mn><mo>∧</mo><mi>c1</mi><mo>⩾</mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>solu1</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><msup><mn>1</mn><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mo>#</mo><mn>2</mn><mo>*</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mo>#</mo><mn>2</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu2</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><msup><mn>1</mn><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mo>#</mo><mn>2</mn><mo>*</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mo>#</mo><mn>2</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu3</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>-</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu4</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>-</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu5</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu6</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu7</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>+</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr><mtr><mtd><mi>solu8</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>-</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr></mtable><mrow><mi>a1</mi><mo>⩾</mo><mn>0</mn><mo>∧</mo><mi>b1</mi><mo>&lt;</mo><mn>0</mn><mo>∧</mo><mi>c1</mi><mo>⩾</mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>solu2</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mo>+</mo><msqrt><mrow><msup><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mo>#</mo><mn>2</mn><mo>*</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mo>#</mo><mn>2</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu1</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mo>-</mo><msqrt><mrow><msup><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mo>#</mo><mn>2</mn><mo>*</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mo>#</mo><mn>2</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu4</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>-</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu3</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>-</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu6</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu5</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd/></mtr><mtr><mtd><mi>solu8</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>+</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr><mtr><mtd><mi>solu7</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>-</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr></mtable><mrow><mi>a1</mi><mo>⩾</mo><mn>0</mn><mo>∧</mo><mi>b1</mi><mo>⩾</mo><mn>0</mn><mo>∧</mo><mi>c1</mi><mo>&lt;</mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>solu1</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><msup><mn>1</mn><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mo>#</mo><mn>2</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>3</mn></mrow></mfenced></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mo>#</mo><mn>2</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu2</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><msup><mn>1</mn><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mo>#</mo><mn>2</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>3</mn></mrow></mfenced></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mo>#</mo><mn>2</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu3</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>+</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu4</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>+</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu5</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu6</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu7</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>+</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr><mtr><mtd><mi>solu8</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>-</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr></mtable><mrow><mi>a1</mi><mo>⩾</mo><mn>0</mn><mo>∧</mo><mi>b1</mi><mo>&lt;</mo><mn>0</mn><mo>∧</mo><mi>c1</mi><mo>&lt;</mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>solu1</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mo>+</mo><msqrt><mrow><msup><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mo>#</mo><mn>2</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>3</mn></mrow></mfenced></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mo>#</mo><mn>2</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu2</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mo>-</mo><msqrt><mrow><msup><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mo>#</mo><mn>2</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>3</mn></mrow></mfenced></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mo>#</mo><mn>2</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu3</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>+</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu4</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>+</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu5</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu6</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu7</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>+</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr><mtr><mtd><mi>solu8</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>-</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr></mtable><mrow><mi>a1</mi><mo>&lt;</mo><mn>0</mn><mo>∧</mo><mi>b1</mi><mo>⩾</mo><mn>0</mn><mo>∧</mo><mi>c1</mi><mo>&lt;</mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>solu2</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><msup><mn>1</mn><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mo>#</mo><mn>3</mn></mrow></mfenced></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu1</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><msup><mn>1</mn><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mo>#</mo><mn>3</mn></mrow></mfenced></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu4</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>-</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu3</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>-</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu6</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu5</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu8</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>+</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr><mtr><mtd><mi>solu7</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>-</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr></mtable><mrow><mi>a1</mi><mo>&lt;</mo><mn>0</mn><mo>∧</mo><mi>b1</mi><mo>&lt;</mo><mn>0</mn><mo>∧</mo><mi>c1</mi><mo>⩾</mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>solu2</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mo>+</mo><msqrt><mrow><msup><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced><mo>*</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu1</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mo>-</mo><msqrt><mrow><msup><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced><mo>*</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu4</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>+</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu3</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>+</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu6</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu5</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu8</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>+</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr><mtr><mtd><mi>solu7</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>-</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr></mtable><mrow><mi>a1</mi><mo>&lt;</mo><mn>0</mn><mo>∧</mo><mi>b1</mi><mo>⩾</mo><mn>0</mn><mo>∧</mo><mi>c1</mi><mo>⩾</mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>solu2</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><msup><mn>1</mn><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced><mo>*</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu1</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><msup><mn>1</mn><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced><mo>*</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu4</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>+</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu3</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>+</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu6</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu5</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu8</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>+</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr><mtr><mtd><mi>solu7</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>-</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr></mtable><mtable><mtr><mtd><mi>solu2</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mo>+</mo><msqrt><mrow><msup><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mo>#</mo><mn>3</mn></mrow></mfenced></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu1</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>-</mo><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mo>-</mo><msqrt><mrow><msup><mfenced><mrow><mo>#</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup><mo>-</mo><mn>4</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><mo>#</mo><mn>3</mn></mrow></mfenced></mrow></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mfenced><mrow><mo>#</mo><mn>2</mn></mrow></mfenced></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b1</mi><mo>,</mo><mi>a1</mi><mo>,</mo><mi>c1</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu4</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>-</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu3</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn><mo>-</mo><mo>#</mo><mn>3</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>4</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>b3</mi><mo>,</mo><mi>c2</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu6</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>+</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu5</mi><mo>=</mo><mi>sustituir_cadena</mi><mfenced><mrow><mo>&quot;</mo><mfrac><mrow><mo>#</mo><mn>1</mn><mo>-</mo><msqrt><mrow><mo>#</mo><mn>2</mn></mrow></msqrt></mrow><mrow><mo>#</mo><mn>3</mn></mrow></mfrac><mo>&quot;</mo><mo>,</mo><mi>b2</mi><mo>,</mo><mi>discr1</mi><mo>,</mo><mi>a6</mi></mrow></mfenced></mtd></mtr><mtr><mtd><mi>solu8</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>+</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr><mtr><mtd><mi>solu7</mi><mo>=</mo><mfrac><mrow><mo>-</mo><mi>b1</mi><mo>-</mo><msqrt><mi>discr1</mi></msqrt></mrow><mrow><mn>2</mn><mo>*</mo><mi>a1</mi></mrow></mfrac></mtd></mtr></mtable></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solu7</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>21</mn></msqrt><mn>2</mn></mfrac><mo>-</mo><mfrac><mn>7</mn><mn>2</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>solu8</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><msqrt><mn>21</mn></msqrt><mn>2</mn></mfrac><mo>-</mo><mfrac><mn>7</mn><mn>2</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mi>a</mi><mo>&#xA0;</mo><mi>s</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>&#xF3;</mi><mi>n</mi><mo>&#xA0;</mo><mi mathvariant="normal">i</mi><mi>n</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">i</mi><mi>c</mi><mi>a</mi><mi mathvariant="normal">d</mi><mi>a</mi><mo>&#xA0;</mo><mi mathvariant="normal">e</mi><mi>s</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></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">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>