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La ecuación:
Ecuación 1/8×(8/9x+8)-0,2×(5/6x+12/3)=2
Ecuación -5+(a-25)=-4
Ecuación z^2+2z+2=0
Ecuación z^2=8+6*i
Expresar {x} en función de y en la ecuación:
-7*x+18*y=20
1*x+16*y=-16
-10*x-20*y=-14
-5*x+9*y=-7
Expresiones idénticas
x^ cuatro -x^ dos - cinco *x+ ocho = cero
x en el grado 4 menos x al cuadrado menos 5 multiplicar por x más 8 es igual a 0
x en el grado cuatro menos x en el grado dos menos cinco multiplicar por x más ocho es igual a cero
x4-x2-5*x+8=0
x⁴-x²-5*x+8=0
x en el grado 4-x en el grado 2-5*x+8=0
x^4-x^2-5x+8=0
x4-x2-5x+8=0
x^4-x^2-5*x+8=O
Expresiones semejantes
x^4+x^2-5*x+8=0
x^4-x^2-5*x-8=0
x^4-x^2+5*x+8=0

x^4-x^2-5*x+8=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

 4    2              
x  - x  - 5*x + 8 = 0

\left(- 5 x + \left(x^{4} - x^{2}\right)\right) + 8 = 0

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                                                                                                     _______________________________________________________________________________________________________________________________________________
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                                                                                                  /     4        /  1249   I*\/ 25811                                         10                                                    97              
                                                                                    I*           /    - - + 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- + ---------------------------- 
                 ________________________________________________________________               /       3     \/    432         48                  ________________________________________________________________           ____________________ 
                /            ____________________                                              /                                                   /            ____________________                                          /            _______  
               /            /            _______                                              /                                                   /            /            _______                                          /  1249   I*\/ 25811   
              /   2        /  1249   I*\/ 25811                  97                          /                                                   /   2        /  1249   I*\/ 25811                  97                 18*3 /   ---- + -----------  
             /    - + 2*3 /   ---- + -----------  + ----------------------------            /                                                   /    - + 2*3 /   ---- + -----------  + ----------------------------       \/    432         48      
            /     3     \/    432         48                ____________________           /                                                   /     3     \/    432         48                ____________________                                 
           /                                               /            _______           /                                                   /                                               /            _______                                  
          /                                               /  1249   I*\/ 25811           /                                                   /                                               /  1249   I*\/ 25811                                   
         /                                          18*3 /   ---- + -----------         /                                                   /                                          18*3 /   ---- + -----------                                  
       \/                                              \/    432         48           \/                                                  \/                                              \/    432         48                                      
x1 = - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------
                                           2                                                                                                                       2

x_{1} = - \frac{i \sqrt{- \frac{4}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + \frac{10}{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2} - \frac{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2}

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                                                                                                /     4                                       10                                            /  1249   I*\/ 25811                  97              
                                                                                  I*           /    - - - -------------------------------------------------------------------------- + 2*3 /   ---- + -----------  + ---------------------------- 
               ________________________________________________________________               /       3             ________________________________________________________________     \/    432         48                ____________________ 
              /            ____________________                                              /                     /            ____________________                                                                        /            _______  
             /            /            _______                                              /                     /            /            _______                                                                        /  1249   I*\/ 25811   
            /   2        /  1249   I*\/ 25811                  97                          /                     /   2        /  1249   I*\/ 25811                  97                                               18*3 /   ---- + -----------  
           /    - + 2*3 /   ---- + -----------  + ----------------------------            /                     /    - + 2*3 /   ---- + -----------  + ----------------------------                                     \/    432         48      
          /     3     \/    432         48                ____________________           /                     /     3     \/    432         48                ____________________                                                               
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        /                                               /  1249   I*\/ 25811           /                     /                                               /  1249   I*\/ 25811                                                                 
       /                                          18*3 /   ---- + -----------         /                     /                                          18*3 /   ---- + -----------                                                                
     \/                                              \/    432         48           \/                    \/                                              \/    432         48                                                                    
x2 = -------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------
                                         2                                                                                                                       2

x_{2} = - \frac{i \sqrt{- \frac{4}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} - \frac{10}{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2} + \frac{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2}

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                                                                                                  /     4        /  1249   I*\/ 25811                                         10                                                    97              
                                                                                    I*           /    - - + 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- + ---------------------------- 
                 ________________________________________________________________               /       3     \/    432         48                  ________________________________________________________________           ____________________ 
                /            ____________________                                              /                                                   /            ____________________                                          /            _______  
               /            /            _______                                              /                                                   /            /            _______                                          /  1249   I*\/ 25811   
              /   2        /  1249   I*\/ 25811                  97                          /                                                   /   2        /  1249   I*\/ 25811                  97                 18*3 /   ---- + -----------  
             /    - + 2*3 /   ---- + -----------  + ----------------------------            /                                                   /    - + 2*3 /   ---- + -----------  + ----------------------------       \/    432         48      
            /     3     \/    432         48                ____________________           /                                                   /     3     \/    432         48                ____________________                                 
           /                                               /            _______           /                                                   /                                               /            _______                                  
          /                                               /  1249   I*\/ 25811           /                                                   /                                               /  1249   I*\/ 25811                                   
         /                                          18*3 /   ---- + -----------         /                                                   /                                          18*3 /   ---- + -----------                                  
       \/                                              \/    432         48           \/                                                  \/                                              \/    432         48                                      
x3 = - -------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------
                                           2                                                                                                                       2

x_{3} = - \frac{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2} + \frac{i \sqrt{- \frac{4}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + \frac{10}{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2}

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                                                                                                /     4                                       10                                            /  1249   I*\/ 25811                  97              
                                                                                  I*           /    - - - -------------------------------------------------------------------------- + 2*3 /   ---- + -----------  + ---------------------------- 
               ________________________________________________________________               /       3             ________________________________________________________________     \/    432         48                ____________________ 
              /            ____________________                                              /                     /            ____________________                                                                        /            _______  
             /            /            _______                                              /                     /            /            _______                                                                        /  1249   I*\/ 25811   
            /   2        /  1249   I*\/ 25811                  97                          /                     /   2        /  1249   I*\/ 25811                  97                                               18*3 /   ---- + -----------  
           /    - + 2*3 /   ---- + -----------  + ----------------------------            /                     /    - + 2*3 /   ---- + -----------  + ----------------------------                                     \/    432         48      
          /     3     \/    432         48                ____________________           /                     /     3     \/    432         48                ____________________                                                               
         /                                               /            _______           /                     /                                               /            _______                                                                
        /                                               /  1249   I*\/ 25811           /                     /                                               /  1249   I*\/ 25811                                                                 
       /                                          18*3 /   ---- + -----------         /                     /                                          18*3 /   ---- + -----------                                                                
     \/                                              \/    432         48           \/                    \/                                              \/    432         48                                                                    
x4 = -------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------
                                         2                                                                                                                       2

x_{4} = \frac{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2} + \frac{i \sqrt{- \frac{4}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} - \frac{10}{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2}

x4 = sqrt(2/3 + 97/(18*(1249/432 + sqrt(25811)*i/48)^(1/3)) + 2*(1249/432 + sqrt(25811)*i/48)^(1/3))/2 + i*sqrt(-4/3 + 97/(18*(1249/432 + sqrt(25811)*i/48)^(1/3)) - 10/sqrt(2/3 + 97/(18*(1249/432 + sqrt(25811)*i/48)^(1/3)) + 2*(1249/432 + sqrt(25811)*i/48)^(1/3)) + 2*(1249/432 + sqrt(25811)*i/48)^(1/3))/2

Suma y producto de raíces [src]

suma

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                                                                                             /     4        /  1249   I*\/ 25811                                         10                                                    97                                                                                                            /     4                                       10                                            /  1249   I*\/ 25811                  97                                                                                                              /     4        /  1249   I*\/ 25811                                         10                                                    97                                                                                                            /     4                                       10                                            /  1249   I*\/ 25811                  97              
                                                                               I*           /    - - + 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- + ----------------------------                                                                                 I*           /    - - - -------------------------------------------------------------------------- + 2*3 /   ---- + -----------  + ----------------------------                                                                                   I*           /    - - + 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- + ----------------------------                                                                                 I*           /    - - - -------------------------------------------------------------------------- + 2*3 /   ---- + -----------  + ---------------------------- 
            ________________________________________________________________               /       3     \/    432         48                  ________________________________________________________________           ____________________              ________________________________________________________________               /       3             ________________________________________________________________     \/    432         48                ____________________                ________________________________________________________________               /       3     \/    432         48                  ________________________________________________________________           ____________________              ________________________________________________________________               /       3             ________________________________________________________________     \/    432         48                ____________________ 
           /            ____________________                                              /                                                   /            ____________________                                          /            _______              /            ____________________                                              /                     /            ____________________                                                                        /            _______                /            ____________________                                              /                                                   /            ____________________                                          /            _______              /            ____________________                                              /                     /            ____________________                                                                        /            _______  
          /            /            _______                                              /                                                   /            /            _______                                          /  1249   I*\/ 25811              /            /            _______                                              /                     /            /            _______                                                                        /  1249   I*\/ 25811                /            /            _______                                              /                                                   /            /            _______                                          /  1249   I*\/ 25811              /            /            _______                                              /                     /            /            _______                                                                        /  1249   I*\/ 25811   
         /   2        /  1249   I*\/ 25811                  97                          /                                                   /   2        /  1249   I*\/ 25811                  97                 18*3 /   ---- + -----------            /   2        /  1249   I*\/ 25811                  97                          /                     /   2        /  1249   I*\/ 25811                  97                                               18*3 /   ---- + -----------              /   2        /  1249   I*\/ 25811                  97                          /                                                   /   2        /  1249   I*\/ 25811                  97                 18*3 /   ---- + -----------            /   2        /  1249   I*\/ 25811                  97                          /                     /   2        /  1249   I*\/ 25811                  97                                               18*3 /   ---- + -----------  
        /    - + 2*3 /   ---- + -----------  + ----------------------------            /                                                   /    - + 2*3 /   ---- + -----------  + ----------------------------       \/    432         48               /    - + 2*3 /   ---- + -----------  + ----------------------------            /                     /    - + 2*3 /   ---- + -----------  + ----------------------------                                     \/    432         48                 /    - + 2*3 /   ---- + -----------  + ----------------------------            /                                                   /    - + 2*3 /   ---- + -----------  + ----------------------------       \/    432         48               /    - + 2*3 /   ---- + -----------  + ----------------------------            /                     /    - + 2*3 /   ---- + -----------  + ----------------------------                                     \/    432         48      
       /     3     \/    432         48                ____________________           /                                                   /     3     \/    432         48                ____________________                                         /     3     \/    432         48                ____________________           /                     /     3     \/    432         48                ____________________                                                                         /     3     \/    432         48                ____________________           /                                                   /     3     \/    432         48                ____________________                                         /     3     \/    432         48                ____________________           /                     /     3     \/    432         48                ____________________                                                               
      /                                               /            _______           /                                                   /                                               /            _______                                         /                                               /            _______           /                     /                                               /            _______                                                                         /                                               /            _______           /                                                   /                                               /            _______                                         /                                               /            _______           /                     /                                               /            _______                                                                
     /                                               /  1249   I*\/ 25811           /                                                   /                                               /  1249   I*\/ 25811                                         /                                               /  1249   I*\/ 25811           /                     /                                               /  1249   I*\/ 25811                                                                         /                                               /  1249   I*\/ 25811           /                                                   /                                               /  1249   I*\/ 25811                                         /                                               /  1249   I*\/ 25811           /                     /                                               /  1249   I*\/ 25811                                                                 
    /                                          18*3 /   ---- + -----------         /                                                   /                                          18*3 /   ---- + -----------                                       /                                          18*3 /   ---- + -----------         /                     /                                          18*3 /   ---- + -----------                                                                       /                                          18*3 /   ---- + -----------         /                                                   /                                          18*3 /   ---- + -----------                                       /                                          18*3 /   ---- + -----------         /                     /                                          18*3 /   ---- + -----------                                                                
  \/                                              \/    432         48           \/                                                  \/                                              \/    432         48                                         \/                                              \/    432         48           \/                    \/                                              \/    432         48                                                                         \/                                              \/    432         48           \/                                                  \/                                              \/    432         48                                         \/                                              \/    432         48           \/                    \/                                              \/    432         48                                                                    
- -------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------- + - -------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------
                                      2                                                                                                                       2                                                                                                                       2                                                                                                                       2                                                                                                                         2                                                                                                                       2                                                                                                                       2                                                                                                                       2

\left(\left(\left(- \frac{i \sqrt{- \frac{4}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + \frac{10}{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2} - \frac{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2}\right) + \left(- \frac{i \sqrt{- \frac{4}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} - \frac{10}{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2} + \frac{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2}\right)\right) + \left(- \frac{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2} + \frac{i \sqrt{- \frac{4}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + \frac{10}{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2}\right)\right) + \left(\frac{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2} + \frac{i \sqrt{- \frac{4}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} - \frac{10}{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2}\right)

0

producto

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|                                                                                             /     4        /  1249   I*\/ 25811                                         10                                                    97              | |                                                                                           /     4                                       10                                            /  1249   I*\/ 25811                  97              | |                                                                                             /     4        /  1249   I*\/ 25811                                         10                                                    97              | |                                                                                           /     4                                       10                                            /  1249   I*\/ 25811                  97              |
|                                                                               I*           /    - - + 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- + ---------------------------- | |                                                                             I*           /    - - - -------------------------------------------------------------------------- + 2*3 /   ---- + -----------  + ---------------------------- | |                                                                               I*           /    - - + 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- + ---------------------------- | |                                                                             I*           /    - - - -------------------------------------------------------------------------- + 2*3 /   ---- + -----------  + ---------------------------- |
|            ________________________________________________________________               /       3     \/    432         48                  ________________________________________________________________           ____________________ | |          ________________________________________________________________               /       3             ________________________________________________________________     \/    432         48                ____________________ | |            ________________________________________________________________               /       3     \/    432         48                  ________________________________________________________________           ____________________ | |          ________________________________________________________________               /       3             ________________________________________________________________     \/    432         48                ____________________ |
|           /            ____________________                                              /                                                   /            ____________________                                          /            _______  | |         /            ____________________                                              /                     /            ____________________                                                                        /            _______  | |           /            ____________________                                              /                                                   /            ____________________                                          /            _______  | |         /            ____________________                                              /                     /            ____________________                                                                        /            _______  |
|          /            /            _______                                              /                                                   /            /            _______                                          /  1249   I*\/ 25811   | |        /            /            _______                                              /                     /            /            _______                                                                        /  1249   I*\/ 25811   | |          /            /            _______                                              /                                                   /            /            _______                                          /  1249   I*\/ 25811   | |        /            /            _______                                              /                     /            /            _______                                                                        /  1249   I*\/ 25811   |
|         /   2        /  1249   I*\/ 25811                  97                          /                                                   /   2        /  1249   I*\/ 25811                  97                 18*3 /   ---- + -----------  | |       /   2        /  1249   I*\/ 25811                  97                          /                     /   2        /  1249   I*\/ 25811                  97                                               18*3 /   ---- + -----------  | |         /   2        /  1249   I*\/ 25811                  97                          /                                                   /   2        /  1249   I*\/ 25811                  97                 18*3 /   ---- + -----------  | |       /   2        /  1249   I*\/ 25811                  97                          /                     /   2        /  1249   I*\/ 25811                  97                                               18*3 /   ---- + -----------  |
|        /    - + 2*3 /   ---- + -----------  + ----------------------------            /                                                   /    - + 2*3 /   ---- + -----------  + ----------------------------       \/    432         48      | |      /    - + 2*3 /   ---- + -----------  + ----------------------------            /                     /    - + 2*3 /   ---- + -----------  + ----------------------------                                     \/    432         48      | |        /    - + 2*3 /   ---- + -----------  + ----------------------------            /                                                   /    - + 2*3 /   ---- + -----------  + ----------------------------       \/    432         48      | |      /    - + 2*3 /   ---- + -----------  + ----------------------------            /                     /    - + 2*3 /   ---- + -----------  + ----------------------------                                     \/    432         48      |
|       /     3     \/    432         48                ____________________           /                                                   /     3     \/    432         48                ____________________                                 | |     /     3     \/    432         48                ____________________           /                     /     3     \/    432         48                ____________________                                                               | |       /     3     \/    432         48                ____________________           /                                                   /     3     \/    432         48                ____________________                                 | |     /     3     \/    432         48                ____________________           /                     /     3     \/    432         48                ____________________                                                               |
|      /                                               /            _______           /                                                   /                                               /            _______                                  | |    /                                               /            _______           /                     /                                               /            _______                                                                | |      /                                               /            _______           /                                                   /                                               /            _______                                  | |    /                                               /            _______           /                     /                                               /            _______                                                                |
|     /                                               /  1249   I*\/ 25811           /                                                   /                                               /  1249   I*\/ 25811                                   | |   /                                               /  1249   I*\/ 25811           /                     /                                               /  1249   I*\/ 25811                                                                 | |     /                                               /  1249   I*\/ 25811           /                                                   /                                               /  1249   I*\/ 25811                                   | |   /                                               /  1249   I*\/ 25811           /                     /                                               /  1249   I*\/ 25811                                                                 |
|    /                                          18*3 /   ---- + -----------         /                                                   /                                          18*3 /   ---- + -----------                                  | |  /                                          18*3 /   ---- + -----------         /                     /                                          18*3 /   ---- + -----------                                                                | |    /                                          18*3 /   ---- + -----------         /                                                   /                                          18*3 /   ---- + -----------                                  | |  /                                          18*3 /   ---- + -----------         /                     /                                          18*3 /   ---- + -----------                                                                |
|  \/                                              \/    432         48           \/                                                  \/                                              \/    432         48                                      | |\/                                              \/    432         48           \/                    \/                                              \/    432         48                                                                    | |  \/                                              \/    432         48           \/                                                  \/                                              \/    432         48                                      | |\/                                              \/    432         48           \/                    \/                                              \/    432         48                                                                    |
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\left(- \frac{i \sqrt{- \frac{4}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} - \frac{10}{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2} + \frac{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2}\right) \left(- \frac{i \sqrt{- \frac{4}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + \frac{10}{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2} - \frac{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2}\right) \left(- \frac{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2} + \frac{i \sqrt{- \frac{4}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + \frac{10}{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2}\right) \left(\frac{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2} + \frac{i \sqrt{- \frac{4}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} - \frac{10}{\sqrt{\frac{2}{3} + \frac{97}{18 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}} + 2 \sqrt[3]{\frac{1249}{432} + \frac{\sqrt{25811} i}{48}}}}{2}\right)

8

Respuesta numérica [src]

x1 = 1.31962635502299 - 0.542379839795759*i

x2 = -1.31962635502299 - 1.47940918718442*i

x3 = 1.31962635502299 + 0.542379839795759*i

x4 = -1.31962635502299 + 1.47940918718442*i

x4 = -1.31962635502299 + 1.47940918718442*i

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