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(x-1)^4-x^2=13x-2x la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
       4    2             
(x - 1)  - x  = 13*x - 2*x
$$- x^{2} + \left(x - 1\right)^{4} = - 2 x + 13 x$$
Gráfica
Respuesta rápida [src]
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                                                                                                  /   4        /  3697   \/ 2818293                                         26                                                   143              
                                                                                                 /    - - 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- + ---------------------------- 
                   ________________________________________________________________             /     3     \/    432        144                  ________________________________________________________________           ____________________ 
                  /            ____________________                                            /                                                 /            ____________________                                          /          _________  
                 /            /          _________                                            /                                                 /            /          _________                                          /  3697   \/ 2818293   
                /   2        /  3697   \/ 2818293                 143                        /                                                 /   2        /  3697   \/ 2818293                 143                 18*3 /   ---- + -----------  
               /    - + 2*3 /   ---- + -----------  - ----------------------------          /                                                 /    - + 2*3 /   ---- + -----------  - ----------------------------       \/    432        144      
              /     3     \/    432        144                ____________________         /                                                 /     3     \/    432        144                ____________________                                 
             /                                               /          _________         /                                                 /                                               /          _________                                  
            /                                               /  3697   \/ 2818293         /                                                 /                                               /  3697   \/ 2818293                                   
           /                                          18*3 /   ---- + -----------       /                                                 /                                          18*3 /   ---- + -----------                                  
         \/                                              \/    432        144         \/                                                \/                                              \/    432        144                                      
x1 = 1 + -------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------
                                             2                                                                                                                     2                                                                              
$$x_{1} = \frac{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}{2} + 1 + \frac{\sqrt{- 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}} + \frac{4}{3} + \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{26}{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}}}{2}$$
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                                                                                                  /   4        /  3697   \/ 2818293                                         26                                                   143              
                                                                                                 /    - - 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- + ---------------------------- 
                   ________________________________________________________________             /     3     \/    432        144                  ________________________________________________________________           ____________________ 
                  /            ____________________                                            /                                                 /            ____________________                                          /          _________  
                 /            /          _________                                            /                                                 /            /          _________                                          /  3697   \/ 2818293   
                /   2        /  3697   \/ 2818293                 143                        /                                                 /   2        /  3697   \/ 2818293                 143                 18*3 /   ---- + -----------  
               /    - + 2*3 /   ---- + -----------  - ----------------------------          /                                                 /    - + 2*3 /   ---- + -----------  - ----------------------------       \/    432        144      
              /     3     \/    432        144                ____________________         /                                                 /     3     \/    432        144                ____________________                                 
             /                                               /          _________         /                                                 /                                               /          _________                                  
            /                                               /  3697   \/ 2818293         /                                                 /                                               /  3697   \/ 2818293                                   
           /                                          18*3 /   ---- + -----------       /                                                 /                                          18*3 /   ---- + -----------                                  
         \/                                              \/    432        144         \/                                                \/                                              \/    432        144                                      
x2 = 1 + -------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------
                                             2                                                                                                                     2                                                                              
$$x_{2} = - \frac{\sqrt{- 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}} + \frac{4}{3} + \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{26}{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}}}{2} + \frac{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}{2} + 1$$
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                                                                                                    /     4        /  3697   \/ 2818293                                         26                                                   143              
                                                                                      I*           /    - - + 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- - ---------------------------- 
                   ________________________________________________________________               /       3     \/    432        144                  ________________________________________________________________           ____________________ 
                  /            ____________________                                              /                                                   /            ____________________                                          /          _________  
                 /            /          _________                                              /                                                   /            /          _________                                          /  3697   \/ 2818293   
                /   2        /  3697   \/ 2818293                 143                          /                                                   /   2        /  3697   \/ 2818293                 143                 18*3 /   ---- + -----------  
               /    - + 2*3 /   ---- + -----------  - ----------------------------            /                                                   /    - + 2*3 /   ---- + -----------  - ----------------------------       \/    432        144      
              /     3     \/    432        144                ____________________           /                                                   /     3     \/    432        144                ____________________                                 
             /                                               /          _________           /                                                   /                                               /          _________                                  
            /                                               /  3697   \/ 2818293           /                                                   /                                               /  3697   \/ 2818293                                   
           /                                          18*3 /   ---- + -----------         /                                                   /                                          18*3 /   ---- + -----------                                  
         \/                                              \/    432        144           \/                                                  \/                                              \/    432        144                                      
x3 = 1 - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------
                                             2                                                                                                                       2                                                                                
$$x_{3} = - \frac{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}{2} + 1 - \frac{i \sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} - \frac{4}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}} + \frac{26}{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}}}{2}$$
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                                                                                                    /     4        /  3697   \/ 2818293                                         26                                                   143              
                                                                                      I*           /    - - + 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- - ---------------------------- 
                   ________________________________________________________________               /       3     \/    432        144                  ________________________________________________________________           ____________________ 
                  /            ____________________                                              /                                                   /            ____________________                                          /          _________  
                 /            /          _________                                              /                                                   /            /          _________                                          /  3697   \/ 2818293   
                /   2        /  3697   \/ 2818293                 143                          /                                                   /   2        /  3697   \/ 2818293                 143                 18*3 /   ---- + -----------  
               /    - + 2*3 /   ---- + -----------  - ----------------------------            /                                                   /    - + 2*3 /   ---- + -----------  - ----------------------------       \/    432        144      
              /     3     \/    432        144                ____________________           /                                                   /     3     \/    432        144                ____________________                                 
             /                                               /          _________           /                                                   /                                               /          _________                                  
            /                                               /  3697   \/ 2818293           /                                                   /                                               /  3697   \/ 2818293                                   
           /                                          18*3 /   ---- + -----------         /                                                   /                                          18*3 /   ---- + -----------                                  
         \/                                              \/    432        144           \/                                                  \/                                              \/    432        144                                      
x4 = 1 - -------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------
                                             2                                                                                                                       2                                                                                
$$x_{4} = - \frac{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}{2} + 1 + \frac{i \sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} - \frac{4}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}} + \frac{26}{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}}}{2}$$
x4 = -sqrt(-143/(18*(3697/432 + sqrt(2818293)/144)^(1/3)) + 2/3 + 2*(3697/432 + sqrt(2818293)/144)^(1/3))/2 + 1 + i*sqrt(-143/(18*(3697/432 + sqrt(2818293)/144)^(1/3)) - 4/3 + 2*(3697/432 + sqrt(2818293)/144)^(1/3) + 26/sqrt(-143/(18*(3697/432 + sqrt(2818293)/144)^(1/3)) + 2/3 + 2*(3697/432 + sqrt(2818293)/144)^(1/3)))/2
Suma y producto de raíces [src]
suma
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                                                                                             /   4        /  3697   \/ 2818293                                         26                                                   143                                                                                                              /   4        /  3697   \/ 2818293                                         26                                                   143                                                                                                                /     4        /  3697   \/ 2818293                                         26                                                   143                                                                                                                /     4        /  3697   \/ 2818293                                         26                                                   143              
                                                                                            /    - - 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- + ----------------------------                                                                                                /    - - 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- + ----------------------------                                                                                     I*           /    - - + 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- - ----------------------------                                                                                     I*           /    - - + 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- - ---------------------------- 
              ________________________________________________________________             /     3     \/    432        144                  ________________________________________________________________           ____________________                  ________________________________________________________________             /     3     \/    432        144                  ________________________________________________________________           ____________________                  ________________________________________________________________               /       3     \/    432        144                  ________________________________________________________________           ____________________                  ________________________________________________________________               /       3     \/    432        144                  ________________________________________________________________           ____________________ 
             /            ____________________                                            /                                                 /            ____________________                                          /          _________                  /            ____________________                                            /                                                 /            ____________________                                          /          _________                  /            ____________________                                              /                                                   /            ____________________                                          /          _________                  /            ____________________                                              /                                                   /            ____________________                                          /          _________  
            /            /          _________                                            /                                                 /            /          _________                                          /  3697   \/ 2818293                  /            /          _________                                            /                                                 /            /          _________                                          /  3697   \/ 2818293                  /            /          _________                                              /                                                   /            /          _________                                          /  3697   \/ 2818293                  /            /          _________                                              /                                                   /            /          _________                                          /  3697   \/ 2818293   
           /   2        /  3697   \/ 2818293                 143                        /                                                 /   2        /  3697   \/ 2818293                 143                 18*3 /   ---- + -----------                /   2        /  3697   \/ 2818293                 143                        /                                                 /   2        /  3697   \/ 2818293                 143                 18*3 /   ---- + -----------                /   2        /  3697   \/ 2818293                 143                          /                                                   /   2        /  3697   \/ 2818293                 143                 18*3 /   ---- + -----------                /   2        /  3697   \/ 2818293                 143                          /                                                   /   2        /  3697   \/ 2818293                 143                 18*3 /   ---- + -----------  
          /    - + 2*3 /   ---- + -----------  - ----------------------------          /                                                 /    - + 2*3 /   ---- + -----------  - ----------------------------       \/    432        144                   /    - + 2*3 /   ---- + -----------  - ----------------------------          /                                                 /    - + 2*3 /   ---- + -----------  - ----------------------------       \/    432        144                   /    - + 2*3 /   ---- + -----------  - ----------------------------            /                                                   /    - + 2*3 /   ---- + -----------  - ----------------------------       \/    432        144                   /    - + 2*3 /   ---- + -----------  - ----------------------------            /                                                   /    - + 2*3 /   ---- + -----------  - ----------------------------       \/    432        144      
         /     3     \/    432        144                ____________________         /                                                 /     3     \/    432        144                ____________________                                             /     3     \/    432        144                ____________________         /                                                 /     3     \/    432        144                ____________________                                             /     3     \/    432        144                ____________________           /                                                   /     3     \/    432        144                ____________________                                             /     3     \/    432        144                ____________________           /                                                   /     3     \/    432        144                ____________________                                 
        /                                               /          _________         /                                                 /                                               /          _________                                             /                                               /          _________         /                                                 /                                               /          _________                                             /                                               /          _________           /                                                   /                                               /          _________                                             /                                               /          _________           /                                                   /                                               /          _________                                  
       /                                               /  3697   \/ 2818293         /                                                 /                                               /  3697   \/ 2818293                                             /                                               /  3697   \/ 2818293         /                                                 /                                               /  3697   \/ 2818293                                             /                                               /  3697   \/ 2818293           /                                                   /                                               /  3697   \/ 2818293                                             /                                               /  3697   \/ 2818293           /                                                   /                                               /  3697   \/ 2818293                                   
      /                                          18*3 /   ---- + -----------       /                                                 /                                          18*3 /   ---- + -----------                                           /                                          18*3 /   ---- + -----------       /                                                 /                                          18*3 /   ---- + -----------                                           /                                          18*3 /   ---- + -----------         /                                                   /                                          18*3 /   ---- + -----------                                           /                                          18*3 /   ---- + -----------         /                                                   /                                          18*3 /   ---- + -----------                                  
    \/                                              \/    432        144         \/                                                \/                                              \/    432        144                                             \/                                              \/    432        144         \/                                                \/                                              \/    432        144                                             \/                                              \/    432        144           \/                                                  \/                                              \/    432        144                                             \/                                              \/    432        144           \/                                                  \/                                              \/    432        144                                      
1 + -------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------ + 1 + -------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------ + 1 - -------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------- + 1 - -------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------
                                        2                                                                                                                     2                                                                                                                         2                                                                                                                     2                                                                                                                         2                                                                                                                       2                                                                                                                           2                                                                                                                       2                                                                                
$$\left(\left(\left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}} + \frac{4}{3} + \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{26}{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}}}{2} + \frac{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}{2} + 1\right) + \left(\frac{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}{2} + 1 + \frac{\sqrt{- 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}} + \frac{4}{3} + \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{26}{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}}}{2}\right)\right) + \left(- \frac{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}{2} + 1 - \frac{i \sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} - \frac{4}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}} + \frac{26}{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}}}{2}\right)\right) + \left(- \frac{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}{2} + 1 + \frac{i \sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} - \frac{4}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}} + \frac{26}{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}}}{2}\right)$$
=
4
$$4$$
producto
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|                                                                                             /   4        /  3697   \/ 2818293                                         26                                                   143              | |                                                                                             /   4        /  3697   \/ 2818293                                         26                                                   143              | |                                                                                               /     4        /  3697   \/ 2818293                                         26                                                   143              | |                                                                                               /     4        /  3697   \/ 2818293                                         26                                                   143              |
|                                                                                            /    - - 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- + ---------------------------- | |                                                                                            /    - - 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- + ---------------------------- | |                                                                                 I*           /    - - + 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- - ---------------------------- | |                                                                                 I*           /    - - + 2*3 /   ---- + -----------  + -------------------------------------------------------------------------- - ---------------------------- |
|              ________________________________________________________________             /     3     \/    432        144                  ________________________________________________________________           ____________________ | |              ________________________________________________________________             /     3     \/    432        144                  ________________________________________________________________           ____________________ | |              ________________________________________________________________               /       3     \/    432        144                  ________________________________________________________________           ____________________ | |              ________________________________________________________________               /       3     \/    432        144                  ________________________________________________________________           ____________________ |
|             /            ____________________                                            /                                                 /            ____________________                                          /          _________  | |             /            ____________________                                            /                                                 /            ____________________                                          /          _________  | |             /            ____________________                                              /                                                   /            ____________________                                          /          _________  | |             /            ____________________                                              /                                                   /            ____________________                                          /          _________  |
|            /            /          _________                                            /                                                 /            /          _________                                          /  3697   \/ 2818293   | |            /            /          _________                                            /                                                 /            /          _________                                          /  3697   \/ 2818293   | |            /            /          _________                                              /                                                   /            /          _________                                          /  3697   \/ 2818293   | |            /            /          _________                                              /                                                   /            /          _________                                          /  3697   \/ 2818293   |
|           /   2        /  3697   \/ 2818293                 143                        /                                                 /   2        /  3697   \/ 2818293                 143                 18*3 /   ---- + -----------  | |           /   2        /  3697   \/ 2818293                 143                        /                                                 /   2        /  3697   \/ 2818293                 143                 18*3 /   ---- + -----------  | |           /   2        /  3697   \/ 2818293                 143                          /                                                   /   2        /  3697   \/ 2818293                 143                 18*3 /   ---- + -----------  | |           /   2        /  3697   \/ 2818293                 143                          /                                                   /   2        /  3697   \/ 2818293                 143                 18*3 /   ---- + -----------  |
|          /    - + 2*3 /   ---- + -----------  - ----------------------------          /                                                 /    - + 2*3 /   ---- + -----------  - ----------------------------       \/    432        144      | |          /    - + 2*3 /   ---- + -----------  - ----------------------------          /                                                 /    - + 2*3 /   ---- + -----------  - ----------------------------       \/    432        144      | |          /    - + 2*3 /   ---- + -----------  - ----------------------------            /                                                   /    - + 2*3 /   ---- + -----------  - ----------------------------       \/    432        144      | |          /    - + 2*3 /   ---- + -----------  - ----------------------------            /                                                   /    - + 2*3 /   ---- + -----------  - ----------------------------       \/    432        144      |
|         /     3     \/    432        144                ____________________         /                                                 /     3     \/    432        144                ____________________                                 | |         /     3     \/    432        144                ____________________         /                                                 /     3     \/    432        144                ____________________                                 | |         /     3     \/    432        144                ____________________           /                                                   /     3     \/    432        144                ____________________                                 | |         /     3     \/    432        144                ____________________           /                                                   /     3     \/    432        144                ____________________                                 |
|        /                                               /          _________         /                                                 /                                               /          _________                                  | |        /                                               /          _________         /                                                 /                                               /          _________                                  | |        /                                               /          _________           /                                                   /                                               /          _________                                  | |        /                                               /          _________           /                                                   /                                               /          _________                                  |
|       /                                               /  3697   \/ 2818293         /                                                 /                                               /  3697   \/ 2818293                                   | |       /                                               /  3697   \/ 2818293         /                                                 /                                               /  3697   \/ 2818293                                   | |       /                                               /  3697   \/ 2818293           /                                                   /                                               /  3697   \/ 2818293                                   | |       /                                               /  3697   \/ 2818293           /                                                   /                                               /  3697   \/ 2818293                                   |
|      /                                          18*3 /   ---- + -----------       /                                                 /                                          18*3 /   ---- + -----------                                  | |      /                                          18*3 /   ---- + -----------       /                                                 /                                          18*3 /   ---- + -----------                                  | |      /                                          18*3 /   ---- + -----------         /                                                   /                                          18*3 /   ---- + -----------                                  | |      /                                          18*3 /   ---- + -----------         /                                                   /                                          18*3 /   ---- + -----------                                  |
|    \/                                              \/    432        144         \/                                                \/                                              \/    432        144                                      | |    \/                                              \/    432        144         \/                                                \/                                              \/    432        144                                      | |    \/                                              \/    432        144           \/                                                  \/                                              \/    432        144                                      | |    \/                                              \/    432        144           \/                                                  \/                                              \/    432        144                                      |
|1 + -------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------|*|1 + -------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------|*|1 - -------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------|*|1 - -------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------|
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$$\left(\frac{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}{2} + 1 + \frac{\sqrt{- 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}} + \frac{4}{3} + \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{26}{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}} + \frac{4}{3} + \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{26}{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}}}{2} + \frac{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}{2} + 1\right) \left(- \frac{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}{2} + 1 - \frac{i \sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} - \frac{4}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}} + \frac{26}{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}}}{2}\right) \left(- \frac{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}{2} + 1 + \frac{i \sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} - \frac{4}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}} + \frac{26}{\sqrt{- \frac{143}{18 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{3697}{432} + \frac{\sqrt{2818293}}{144}}}}}}{2}\right)$$
=
1
$$1$$
1
Respuesta numérica [src]
x1 = 0.0681310488049495
x2 = 0.105756632593732 + 1.98343857995343*i
x3 = 3.72035568600759
x4 = 0.105756632593732 - 1.98343857995343*i
x4 = 0.105756632593732 - 1.98343857995343*i