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3*x-1/x+5*x/3x^2-x-1=7 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
      1   5*x  2            
3*x - - + ---*x  - x - 1 = 7
      x    3                
$$\left(- x + \left(x^{2} \frac{5 x}{3} + \left(3 x - \frac{1}{x}\right)\right)\right) - 1 = 7$$
Gráfica
Respuesta rápida [src]
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                                                                                            /     8        /  196   4*\/ 2405                 8                                                    48                                     
                                                                                           /    - - - 2*3 /   --- + ----------  + -------------------------- + -------------------------------------------------------------------------- 
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             /              /           ______                                          /                                               /  196   4*\/ 2405               /              /           ______                                
            /     4        /  196   4*\/ 2405                 8                        /                                          25*3 /   --- + ----------             /     4        /  196   4*\/ 2405                 8               
           /    - - + 2*3 /   --- + ----------  - --------------------------          /                                              \/    125      125        5*      /    - - + 2*3 /   --- + ----------  - --------------------------  
          /       5     \/    125      125                __________________         /                                                                                /       5     \/    125      125                __________________  
         /                                               /           ______         /                                                                                /                                               /           ______   
        /                                               /  196   4*\/ 2405         /                                                                                /                                               /  196   4*\/ 2405    
       /                                          25*3 /   --- + ----------       /                                                                                /                                          25*3 /   --- + ----------   
     \/                                              \/    125      125         \/                                                                               \/                                              \/    125      125       
x1 = ------------------------------------------------------------------------ + ----------------------------------------------------------------------------------------------------------------------------------------------------------
                                        2                                                                                                                   2                                                                             
$$x_{1} = \frac{\sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}} - \frac{8}{5} + \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + \frac{48}{5 \sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}}}{2}$$
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                                                                                            /     8        /  196   4*\/ 2405                 8                                                    48                                     
                                                                                           /    - - - 2*3 /   --- + ----------  + -------------------------- + -------------------------------------------------------------------------- 
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             /              /           ______                                          /                                               /  196   4*\/ 2405               /              /           ______                                
            /     4        /  196   4*\/ 2405                 8                        /                                          25*3 /   --- + ----------             /     4        /  196   4*\/ 2405                 8               
           /    - - + 2*3 /   --- + ----------  - --------------------------          /                                              \/    125      125        5*      /    - - + 2*3 /   --- + ----------  - --------------------------  
          /       5     \/    125      125                __________________         /                                                                                /       5     \/    125      125                __________________  
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        /                                               /  196   4*\/ 2405         /                                                                                /                                               /  196   4*\/ 2405    
       /                                          25*3 /   --- + ----------       /                                                                                /                                          25*3 /   --- + ----------   
     \/                                              \/    125      125         \/                                                                               \/                                              \/    125      125       
x2 = ------------------------------------------------------------------------ - ----------------------------------------------------------------------------------------------------------------------------------------------------------
                                        2                                                                                                                   2                                                                             
$$x_{2} = - \frac{\sqrt{- 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}} - \frac{8}{5} + \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + \frac{48}{5 \sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}}}{2} + \frac{\sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}{2}$$
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                                                                                                /   8        /  196   4*\/ 2405                 8                                                    48                                     
                                                                                  I*           /    - + 2*3 /   --- + ----------  - -------------------------- + -------------------------------------------------------------------------- 
                 ______________________________________________________________               /     5     \/    125      125                __________________               ______________________________________________________________ 
                /              __________________                                            /                                             /           ______               /              __________________                               
               /              /           ______                                            /                                             /  196   4*\/ 2405               /              /           ______                                
              /     4        /  196   4*\/ 2405                 8                          /                                        25*3 /   --- + ----------             /     4        /  196   4*\/ 2405                 8               
             /    - - + 2*3 /   --- + ----------  - --------------------------            /                                            \/    125      125        5*      /    - - + 2*3 /   --- + ----------  - --------------------------  
            /       5     \/    125      125                __________________           /                                                                              /       5     \/    125      125                __________________  
           /                                               /           ______           /                                                                              /                                               /           ______   
          /                                               /  196   4*\/ 2405           /                                                                              /                                               /  196   4*\/ 2405    
         /                                          25*3 /   --- + ----------         /                                                                              /                                          25*3 /   --- + ----------   
       \/                                              \/    125      125           \/                                                                             \/                                              \/    125      125       
x3 = - ------------------------------------------------------------------------ - ----------------------------------------------------------------------------------------------------------------------------------------------------------
                                          2                                                                                                                   2                                                                             
$$x_{3} = - \frac{\sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}{2} - \frac{i \sqrt{- \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + \frac{8}{5} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}} + \frac{48}{5 \sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}}}{2}$$
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                                                                                                /   8        /  196   4*\/ 2405                 8                                                    48                                     
                                                                                  I*           /    - + 2*3 /   --- + ----------  - -------------------------- + -------------------------------------------------------------------------- 
                 ______________________________________________________________               /     5     \/    125      125                __________________               ______________________________________________________________ 
                /              __________________                                            /                                             /           ______               /              __________________                               
               /              /           ______                                            /                                             /  196   4*\/ 2405               /              /           ______                                
              /     4        /  196   4*\/ 2405                 8                          /                                        25*3 /   --- + ----------             /     4        /  196   4*\/ 2405                 8               
             /    - - + 2*3 /   --- + ----------  - --------------------------            /                                            \/    125      125        5*      /    - - + 2*3 /   --- + ----------  - --------------------------  
            /       5     \/    125      125                __________________           /                                                                              /       5     \/    125      125                __________________  
           /                                               /           ______           /                                                                              /                                               /           ______   
          /                                               /  196   4*\/ 2405           /                                                                              /                                               /  196   4*\/ 2405    
         /                                          25*3 /   --- + ----------         /                                                                              /                                          25*3 /   --- + ----------   
       \/                                              \/    125      125           \/                                                                             \/                                              \/    125      125       
x4 = - ------------------------------------------------------------------------ + ----------------------------------------------------------------------------------------------------------------------------------------------------------
                                          2                                                                                                                   2                                                                             
$$x_{4} = - \frac{\sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}{2} + \frac{i \sqrt{- \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + \frac{8}{5} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}} + \frac{48}{5 \sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}}}{2}$$
x4 = -sqrt(-4/5 - 8/(25*(196/125 + 4*sqrt(2405)/125)^(1/3)) + 2*(196/125 + 4*sqrt(2405)/125)^(1/3))/2 + i*sqrt(-8/(25*(196/125 + 4*sqrt(2405)/125)^(1/3)) + 8/5 + 2*(196/125 + 4*sqrt(2405)/125)^(1/3) + 48/(5*sqrt(-4/5 - 8/(25*(196/125 + 4*sqrt(2405)/125)^(1/3)) + 2*(196/125 + 4*sqrt(2405)/125)^(1/3))))/2
Suma y producto de raíces [src]
suma
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                                                                                      /    - - - 2*3 /   --- + ----------  + -------------------------- + --------------------------------------------------------------------------                                                                                          /    - - - 2*3 /   --- + ----------  + -------------------------- + --------------------------------------------------------------------------                                                                                 I*           /    - + 2*3 /   --- + ----------  - -------------------------- + --------------------------------------------------------------------------                                                                                 I*           /    - + 2*3 /   --- + ----------  - -------------------------- + -------------------------------------------------------------------------- 
          ______________________________________________________________             /       5     \/    125      125                __________________               ______________________________________________________________              ______________________________________________________________             /       5     \/    125      125                __________________               ______________________________________________________________                ______________________________________________________________               /     5     \/    125      125                __________________               ______________________________________________________________                ______________________________________________________________               /     5     \/    125      125                __________________               ______________________________________________________________ 
         /              __________________                                          /                                               /           ______               /              __________________                                           /              __________________                                          /                                               /           ______               /              __________________                                             /              __________________                                            /                                             /           ______               /              __________________                                             /              __________________                                            /                                             /           ______               /              __________________                               
        /              /           ______                                          /                                               /  196   4*\/ 2405               /              /           ______                                           /              /           ______                                          /                                               /  196   4*\/ 2405               /              /           ______                                             /              /           ______                                            /                                             /  196   4*\/ 2405               /              /           ______                                             /              /           ______                                            /                                             /  196   4*\/ 2405               /              /           ______                                
       /     4        /  196   4*\/ 2405                 8                        /                                          25*3 /   --- + ----------             /     4        /  196   4*\/ 2405                 8                         /     4        /  196   4*\/ 2405                 8                        /                                          25*3 /   --- + ----------             /     4        /  196   4*\/ 2405                 8                           /     4        /  196   4*\/ 2405                 8                          /                                        25*3 /   --- + ----------             /     4        /  196   4*\/ 2405                 8                           /     4        /  196   4*\/ 2405                 8                          /                                        25*3 /   --- + ----------             /     4        /  196   4*\/ 2405                 8               
      /    - - + 2*3 /   --- + ----------  - --------------------------          /                                              \/    125      125        5*      /    - - + 2*3 /   --- + ----------  - --------------------------           /    - - + 2*3 /   --- + ----------  - --------------------------          /                                              \/    125      125        5*      /    - - + 2*3 /   --- + ----------  - --------------------------             /    - - + 2*3 /   --- + ----------  - --------------------------            /                                            \/    125      125        5*      /    - - + 2*3 /   --- + ----------  - --------------------------             /    - - + 2*3 /   --- + ----------  - --------------------------            /                                            \/    125      125        5*      /    - - + 2*3 /   --- + ----------  - --------------------------  
     /       5     \/    125      125                __________________         /                                                                                /       5     \/    125      125                __________________          /       5     \/    125      125                __________________         /                                                                                /       5     \/    125      125                __________________            /       5     \/    125      125                __________________           /                                                                              /       5     \/    125      125                __________________            /       5     \/    125      125                __________________           /                                                                              /       5     \/    125      125                __________________  
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   /                                               /  196   4*\/ 2405         /                                                                                /                                               /  196   4*\/ 2405          /                                               /  196   4*\/ 2405         /                                                                                /                                               /  196   4*\/ 2405            /                                               /  196   4*\/ 2405           /                                                                              /                                               /  196   4*\/ 2405            /                                               /  196   4*\/ 2405           /                                                                              /                                               /  196   4*\/ 2405    
  /                                          25*3 /   --- + ----------       /                                                                                /                                          25*3 /   --- + ----------        /                                          25*3 /   --- + ----------       /                                                                                /                                          25*3 /   --- + ----------          /                                          25*3 /   --- + ----------         /                                                                              /                                          25*3 /   --- + ----------          /                                          25*3 /   --- + ----------         /                                                                              /                                          25*3 /   --- + ----------   
\/                                              \/    125      125         \/                                                                               \/                                              \/    125      125          \/                                              \/    125      125         \/                                                                               \/                                              \/    125      125            \/                                              \/    125      125           \/                                                                             \/                                              \/    125      125            \/                                              \/    125      125           \/                                                                             \/                                              \/    125      125       
------------------------------------------------------------------------ + ---------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------ - ---------------------------------------------------------------------------------------------------------------------------------------------------------- + - ------------------------------------------------------------------------ - ---------------------------------------------------------------------------------------------------------------------------------------------------------- + - ------------------------------------------------------------------------ + ----------------------------------------------------------------------------------------------------------------------------------------------------------
                                   2                                                                                                                   2                                                                                                                   2                                                                                                                   2                                                                                                                     2                                                                                                                   2                                                                                                                     2                                                                                                                   2                                                                             
$$\left(\left(\left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}} - \frac{8}{5} + \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + \frac{48}{5 \sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}}}{2} + \frac{\sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}{2}\right) + \left(\frac{\sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}} - \frac{8}{5} + \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + \frac{48}{5 \sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}}}{2}\right)\right) + \left(- \frac{\sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}{2} - \frac{i \sqrt{- \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + \frac{8}{5} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}} + \frac{48}{5 \sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}}}{2}\right)\right) + \left(- \frac{\sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}{2} + \frac{i \sqrt{- \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + \frac{8}{5} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}} + \frac{48}{5 \sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}}}{2}\right)$$
=
0
$$0$$
producto
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|                                                                                       /     8        /  196   4*\/ 2405                 8                                                    48                                     | |                                                                                       /     8        /  196   4*\/ 2405                 8                                                    48                                     | |                                                                                           /   8        /  196   4*\/ 2405                 8                                                    48                                     | |                                                                                           /   8        /  196   4*\/ 2405                 8                                                    48                                     |
|                                                                                      /    - - - 2*3 /   --- + ----------  + -------------------------- + -------------------------------------------------------------------------- | |                                                                                      /    - - - 2*3 /   --- + ----------  + -------------------------- + -------------------------------------------------------------------------- | |                                                                             I*           /    - + 2*3 /   --- + ----------  - -------------------------- + -------------------------------------------------------------------------- | |                                                                             I*           /    - + 2*3 /   --- + ----------  - -------------------------- + -------------------------------------------------------------------------- |
|          ______________________________________________________________             /       5     \/    125      125                __________________               ______________________________________________________________ | |          ______________________________________________________________             /       5     \/    125      125                __________________               ______________________________________________________________ | |            ______________________________________________________________               /     5     \/    125      125                __________________               ______________________________________________________________ | |            ______________________________________________________________               /     5     \/    125      125                __________________               ______________________________________________________________ |
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|        /              /           ______                                          /                                               /  196   4*\/ 2405               /              /           ______                                | |        /              /           ______                                          /                                               /  196   4*\/ 2405               /              /           ______                                | |          /              /           ______                                            /                                             /  196   4*\/ 2405               /              /           ______                                | |          /              /           ______                                            /                                             /  196   4*\/ 2405               /              /           ______                                |
|       /     4        /  196   4*\/ 2405                 8                        /                                          25*3 /   --- + ----------             /     4        /  196   4*\/ 2405                 8               | |       /     4        /  196   4*\/ 2405                 8                        /                                          25*3 /   --- + ----------             /     4        /  196   4*\/ 2405                 8               | |         /     4        /  196   4*\/ 2405                 8                          /                                        25*3 /   --- + ----------             /     4        /  196   4*\/ 2405                 8               | |         /     4        /  196   4*\/ 2405                 8                          /                                        25*3 /   --- + ----------             /     4        /  196   4*\/ 2405                 8               |
|      /    - - + 2*3 /   --- + ----------  - --------------------------          /                                              \/    125      125        5*      /    - - + 2*3 /   --- + ----------  - --------------------------  | |      /    - - + 2*3 /   --- + ----------  - --------------------------          /                                              \/    125      125        5*      /    - - + 2*3 /   --- + ----------  - --------------------------  | |        /    - - + 2*3 /   --- + ----------  - --------------------------            /                                            \/    125      125        5*      /    - - + 2*3 /   --- + ----------  - --------------------------  | |        /    - - + 2*3 /   --- + ----------  - --------------------------            /                                            \/    125      125        5*      /    - - + 2*3 /   --- + ----------  - --------------------------  |
|     /       5     \/    125      125                __________________         /                                                                                /       5     \/    125      125                __________________  | |     /       5     \/    125      125                __________________         /                                                                                /       5     \/    125      125                __________________  | |       /       5     \/    125      125                __________________           /                                                                              /       5     \/    125      125                __________________  | |       /       5     \/    125      125                __________________           /                                                                              /       5     \/    125      125                __________________  |
|    /                                               /           ______         /                                                                                /                                               /           ______   | |    /                                               /           ______         /                                                                                /                                               /           ______   | |      /                                               /           ______           /                                                                              /                                               /           ______   | |      /                                               /           ______           /                                                                              /                                               /           ______   |
|   /                                               /  196   4*\/ 2405         /                                                                                /                                               /  196   4*\/ 2405    | |   /                                               /  196   4*\/ 2405         /                                                                                /                                               /  196   4*\/ 2405    | |     /                                               /  196   4*\/ 2405           /                                                                              /                                               /  196   4*\/ 2405    | |     /                                               /  196   4*\/ 2405           /                                                                              /                                               /  196   4*\/ 2405    |
|  /                                          25*3 /   --- + ----------       /                                                                                /                                          25*3 /   --- + ----------   | |  /                                          25*3 /   --- + ----------       /                                                                                /                                          25*3 /   --- + ----------   | |    /                                          25*3 /   --- + ----------         /                                                                              /                                          25*3 /   --- + ----------   | |    /                                          25*3 /   --- + ----------         /                                                                              /                                          25*3 /   --- + ----------   |
|\/                                              \/    125      125         \/                                                                               \/                                              \/    125      125       | |\/                                              \/    125      125         \/                                                                               \/                                              \/    125      125       | |  \/                                              \/    125      125           \/                                                                             \/                                              \/    125      125       | |  \/                                              \/    125      125           \/                                                                             \/                                              \/    125      125       |
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$$\left(\frac{\sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}} - \frac{8}{5} + \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + \frac{48}{5 \sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}} - \frac{8}{5} + \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + \frac{48}{5 \sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}}}{2} + \frac{\sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}{2}\right) \left(- \frac{\sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}{2} - \frac{i \sqrt{- \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + \frac{8}{5} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}} + \frac{48}{5 \sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}}}{2}\right) \left(- \frac{\sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}{2} + \frac{i \sqrt{- \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + \frac{8}{5} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}} + \frac{48}{5 \sqrt{- \frac{4}{5} - \frac{8}{25 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}} + 2 \sqrt[3]{\frac{196}{125} + \frac{4 \sqrt{2405}}{125}}}}}}{2}\right)$$
=
-3/5
$$- \frac{3}{5}$$
-3/5
Respuesta numérica [src]
x1 = -0.690879943694209 - 1.67756683225782*i
x2 = -0.690879943694209 + 1.67756683225782*i
x3 = 1.50303773839528
x4 = -0.121277851006866
x4 = -0.121277851006866