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((10*x*((x-2)/2,5))^2)/(5*(1-x)*(1-(x-2)/2,5))=0,238 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
                2          
    /     x - 2\           
    |10*x*-----|           
    \      5/2 /        119
--------------------- = ---
          /    x - 2\   500
5*(1 - x)*|1 - -----|      
          \     5/2 /      
$$\frac{\left(10 x \frac{x - 2}{\frac{5}{2}}\right)^{2}}{5 \left(1 - x\right) \left(- \frac{x - 2}{\frac{5}{2}} + 1\right)} = \frac{119}{500}$$
Gráfica
Suma y producto de raíces [src]
suma
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                                                                                                                                                     /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                                                                              833                                                                                      /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                                                                              833                                                                                                                                                                                                                                                                                                                                                                  /     8119        /  4150721952341    119*\/ 5595817607218770                                                                       833                                                                                             257918161                                                                                                                                                                                    /     8119        /  4150721952341    119*\/ 5595817607218770                                                                       833                                                                                             257918161                          
                                                                                                                                                    /    ---- - 2*3 /   -------------- + ------------------------  - ---------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------                   /    ---- - 2*3 /   -------------- + ------------------------  - ---------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------                                                                                                                                                                                                                                                                                  I*           /    - ---- + 2*3 /   -------------- + ------------------------  + --------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------                                                                                                                                             I*           /    - ---- + 2*3 /   -------------- + ------------------------  + --------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------- 
              ________________________________________________________________________________________________________________________             /     3000     \/    13824000000000         460800000000                         ___________________________________________                  ________________________________________________________________________________________________________________________                  /     3000     \/    13824000000000         460800000000                         ___________________________________________                  ________________________________________________________________________________________________________________________              ________________________________________________________________________________________________________________________                 ________________________________________________________________________________________________________________________               /       3000     \/    13824000000000         460800000000                         ________________________________________________________________________________________________________________________                  ___________________________________________                  ________________________________________________________________________________________________________________________               /       3000     \/    13824000000000         460800000000                         ________________________________________________________________________________________________________________________                  ___________________________________________ 
             /               ___________________________________________                                                                          /                                                                                /                        __________________                  /               ___________________________________________                                                                               /                                                                                /                        __________________                  /               ___________________________________________                                                                           /               ___________________________________________                                                                              /               ___________________________________________                                                                            /                                                                                  /               ___________________________________________                                                                               /                        __________________                  /               ___________________________________________                                                                            /                                                                                  /               ___________________________________________                                                                               /                        __________________  
            /               /                        __________________                                                                          /                                                                                /  4150721952341    119*\/ 5595817607218770                  /               /                        __________________                                                                               /                                                                                /  4150721952341    119*\/ 5595817607218770                  /               /                        __________________                                                                           /               /                        __________________                                                                              /               /                        __________________                                                                            /                                                                                  /               /                        __________________                                                                               /  4150721952341    119*\/ 5595817607218770                  /               /                        __________________                                                                            /                                                                                  /               /                        __________________                                                                               /  4150721952341    119*\/ 5595817607218770   
           /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                    /                                                                    288000000*3 /   -------------- + ------------------------                /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                         /                                                                    288000000*3 /   -------------- + ------------------------                /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                     /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                        /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                      /                                                                                  /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                             288000000*3 /   -------------- + ------------------------                /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                      /                                                                                  /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                             288000000*3 /   -------------- + ------------------------  
          /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------          /                                                                               \/    13824000000000         460800000000          4000*      /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------               /                                                                               \/    13824000000000         460800000000          4000*      /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------           /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------              /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------            /                                                                       4000*      /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------              \/    13824000000000         460800000000                     /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------            /                                                                       4000*      /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------              \/    13824000000000         460800000000        
         /     6000     \/    13824000000000         460800000000                         ___________________________________________         /                                                                                                                                             /     6000     \/    13824000000000         460800000000                         ___________________________________________              /                                                                                                                                             /     6000     \/    13824000000000         460800000000                         ___________________________________________          /     6000     \/    13824000000000         460800000000                         ___________________________________________             /     6000     \/    13824000000000         460800000000                         ___________________________________________           /                                                                                  /     6000     \/    13824000000000         460800000000                         ___________________________________________                                                                           /     6000     \/    13824000000000         460800000000                         ___________________________________________           /                                                                                  /     6000     \/    13824000000000         460800000000                         ___________________________________________                                                               
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       /                                                                                /  4150721952341    119*\/ 5595817607218770         /                                                                                                                                             /                                                                                /  4150721952341    119*\/ 5595817607218770              /                                                                                                                                             /                                                                                /  4150721952341    119*\/ 5595817607218770          /                                                                                /  4150721952341    119*\/ 5595817607218770             /                                                                                /  4150721952341    119*\/ 5595817607218770           /                                                                                  /                                                                                /  4150721952341    119*\/ 5595817607218770                                                                           /                                                                                /  4150721952341    119*\/ 5595817607218770           /                                                                                  /                                                                                /  4150721952341    119*\/ 5595817607218770                                                                 
      /                                                                    288000000*3 /   -------------- + ------------------------       /                                                                                                                                             /                                                                    288000000*3 /   -------------- + ------------------------            /                                                                                                                                             /                                                                    288000000*3 /   -------------- + ------------------------        /                                                                    288000000*3 /   -------------- + ------------------------           /                                                                    288000000*3 /   -------------- + ------------------------         /                                                                                  /                                                                    288000000*3 /   -------------- + ------------------------                                                                         /                                                                    288000000*3 /   -------------- + ------------------------         /                                                                                  /                                                                    288000000*3 /   -------------- + ------------------------                                                                
    \/                                                                               \/    13824000000000         460800000000           \/                                                                                                                                            \/                                                                               \/    13824000000000         460800000000                \/                                                                                                                                            \/                                                                               \/    13824000000000         460800000000            \/                                                                               \/    13824000000000         460800000000               \/                                                                               \/    13824000000000         460800000000             \/                                                                                 \/                                                                               \/    13824000000000         460800000000                                                                             \/                                                                               \/    13824000000000         460800000000             \/                                                                                 \/                                                                               \/    13824000000000         460800000000                                                                      
1 - ---------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + 1 + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------- + 1 + ---------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + 1 + ---------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                    2                                                                                                                                                                                                            2                                                                                                                                                                                                                                                                                       2                                                                                                                                                                                                           2                                                                                                                                        2                                                                                                                                                                                                              2                                                                                                                                                                                                                 2                                                                                                                                                                                                              2                                                                                                                                          
$$\left(\left(\left(- \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}} - \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{8119}{3000}}}{2} + 1\right) + \left(- \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}} - \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{8119}{3000}}}{2} + 1\right)\right) + \left(1 + \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} - \frac{i \sqrt{- \frac{8119}{3000} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2}\right)\right) + \left(1 + \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} + \frac{i \sqrt{- \frac{8119}{3000} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2}\right)$$
=
4
$$4$$
producto
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|                                                                                                                                                     /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                                                                              833                                                                   | |                /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                                                                              833                                                                                                                                                                                                        | |                                                                                                                                                       /     8119        /  4150721952341    119*\/ 5595817607218770                                                                       833                                                                                             257918161                          | |                                                                                                                                                       /     8119        /  4150721952341    119*\/ 5595817607218770                                                                       833                                                                                             257918161                          |
|                                                                                                                                                    /    ---- - 2*3 /   -------------- + ------------------------  - ---------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------- | |               /    ---- - 2*3 /   -------------- + ------------------------  - ---------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------                                                                                                                                      | |                                                                                                                                         I*           /    - ---- + 2*3 /   -------------- + ------------------------  + --------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------- | |                                                                                                                                         I*           /    - ---- + 2*3 /   -------------- + ------------------------  + --------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------- |
|              ________________________________________________________________________________________________________________________             /     3000     \/    13824000000000         460800000000                         ___________________________________________                  ________________________________________________________________________________________________________________________ | |              /     3000     \/    13824000000000         460800000000                         ___________________________________________                  ________________________________________________________________________________________________________________________              ________________________________________________________________________________________________________________________| |              ________________________________________________________________________________________________________________________               /       3000     \/    13824000000000         460800000000                         ________________________________________________________________________________________________________________________                  ___________________________________________ | |              ________________________________________________________________________________________________________________________               /       3000     \/    13824000000000         460800000000                         ________________________________________________________________________________________________________________________                  ___________________________________________ |
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|            /               /                        __________________                                                                          /                                                                                /  4150721952341    119*\/ 5595817607218770                  /               /                        __________________                                                                | |            /                                                                                /  4150721952341    119*\/ 5595817607218770                  /               /                        __________________                                                                           /               /                        __________________                                                               | |            /               /                        __________________                                                                            /                                                                                  /               /                        __________________                                                                               /  4150721952341    119*\/ 5595817607218770   | |            /               /                        __________________                                                                            /                                                                                  /               /                        __________________                                                                               /  4150721952341    119*\/ 5595817607218770   |
|           /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                    /                                                                    288000000*3 /   -------------- + ------------------------                /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                           | |           /                                                                    288000000*3 /   -------------- + ------------------------                /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                     /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                          | |           /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                      /                                                                                  /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                             288000000*3 /   -------------- + ------------------------  | |           /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                      /                                                                                  /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                             288000000*3 /   -------------- + ------------------------  |
|          /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------          /                                                                               \/    13824000000000         460800000000          4000*      /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------  | |          /                                                                               \/    13824000000000         460800000000          4000*      /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------           /    ---- + 2*3 /   -------------- + ------------------------  + ---------------------------------------------------------- | |          /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------            /                                                                       4000*      /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------              \/    13824000000000         460800000000        | |          /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------            /                                                                       4000*      /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------              \/    13824000000000         460800000000        |
|         /     6000     \/    13824000000000         460800000000                         ___________________________________________         /                                                                                                                                             /     6000     \/    13824000000000         460800000000                         ___________________________________________  | |         /                                                                                                                                             /     6000     \/    13824000000000         460800000000                         ___________________________________________          /     6000     \/    13824000000000         460800000000                         ___________________________________________ | |         /     6000     \/    13824000000000         460800000000                         ___________________________________________           /                                                                                  /     6000     \/    13824000000000         460800000000                         ___________________________________________                                                               | |         /     6000     \/    13824000000000         460800000000                         ___________________________________________           /                                                                                  /     6000     \/    13824000000000         460800000000                         ___________________________________________                                                               |
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|       /                                                                                /  4150721952341    119*\/ 5595817607218770         /                                                                                                                                             /                                                                                /  4150721952341    119*\/ 5595817607218770    | |       /                                                                                                                                             /                                                                                /  4150721952341    119*\/ 5595817607218770          /                                                                                /  4150721952341    119*\/ 5595817607218770   | |       /                                                                                /  4150721952341    119*\/ 5595817607218770           /                                                                                  /                                                                                /  4150721952341    119*\/ 5595817607218770                                                                 | |       /                                                                                /  4150721952341    119*\/ 5595817607218770           /                                                                                  /                                                                                /  4150721952341    119*\/ 5595817607218770                                                                 |
|      /                                                                    288000000*3 /   -------------- + ------------------------       /                                                                                                                                             /                                                                    288000000*3 /   -------------- + ------------------------   | |      /                                                                                                                                             /                                                                    288000000*3 /   -------------- + ------------------------        /                                                                    288000000*3 /   -------------- + ------------------------  | |      /                                                                    288000000*3 /   -------------- + ------------------------         /                                                                                  /                                                                    288000000*3 /   -------------- + ------------------------                                                                | |      /                                                                    288000000*3 /   -------------- + ------------------------         /                                                                                  /                                                                    288000000*3 /   -------------- + ------------------------                                                                |
|    \/                                                                               \/    13824000000000         460800000000           \/                                                                                                                                            \/                                                                               \/    13824000000000         460800000000         | |    \/                                                                                                                                            \/                                                                               \/    13824000000000         460800000000            \/                                                                               \/    13824000000000         460800000000        | |    \/                                                                               \/    13824000000000         460800000000             \/                                                                                 \/                                                                               \/    13824000000000         460800000000                                                                      | |    \/                                                                               \/    13824000000000         460800000000             \/                                                                                 \/                                                                               \/    13824000000000         460800000000                                                                      |
|1 - ---------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|1 + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------|*|1 + ---------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|1 + ---------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\                                                                    2                                                                                                                                                                                                            2                                                                                                                                        / \                                                                                                                                            2                                                                                                                                                                                                           2                                                                 / \                                                                    2                                                                                                                                                                                                              2                                                                                                                                          / \                                                                    2                                                                                                                                                                                                              2                                                                                                                                          /
$$\left(- \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}} - \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{8119}{3000}}}{2} + 1\right) \left(- \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}} - \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{8119}{3000}}}{2} + 1\right) \left(1 + \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} - \frac{i \sqrt{- \frac{8119}{3000} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2}\right) \left(1 + \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} + \frac{i \sqrt{- \frac{8119}{3000} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2}\right)$$
=
-1071 
------
 8000 
$$- \frac{1071}{8000}$$
-1071/8000
Respuesta rápida [src]
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                                                                                                                                                          /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                                                                              833                                                                   
                                                                                                                                                         /    ---- - 2*3 /   -------------- + ------------------------  - ---------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------- 
                   ________________________________________________________________________________________________________________________             /     3000     \/    13824000000000         460800000000                         ___________________________________________                  ________________________________________________________________________________________________________________________ 
                  /               ___________________________________________                                                                          /                                                                                /                        __________________                  /               ___________________________________________                                                               
                 /               /                        __________________                                                                          /                                                                                /  4150721952341    119*\/ 5595817607218770                  /               /                        __________________                                                                
                /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                    /                                                                    288000000*3 /   -------------- + ------------------------                /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                           
               /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------          /                                                                               \/    13824000000000         460800000000          4000*      /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------  
              /     6000     \/    13824000000000         460800000000                         ___________________________________________         /                                                                                                                                             /     6000     \/    13824000000000         460800000000                         ___________________________________________  
             /                                                                                /                        __________________         /                                                                                                                                             /                                                                                /                        __________________   
            /                                                                                /  4150721952341    119*\/ 5595817607218770         /                                                                                                                                             /                                                                                /  4150721952341    119*\/ 5595817607218770    
           /                                                                    288000000*3 /   -------------- + ------------------------       /                                                                                                                                             /                                                                    288000000*3 /   -------------- + ------------------------   
         \/                                                                               \/    13824000000000         460800000000           \/                                                                                                                                            \/                                                                               \/    13824000000000         460800000000         
x1 = 1 - ---------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                         2                                                                                                                                                                                                            2                                                                                                                                        
$$x_{1} = - \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}} - \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{8119}{3000}}}{2} + 1$$
                        __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                     
                       /               ___________________________________________                                                                                                                                                                                                                                                                                                                                             
                      /               /                        __________________                                                                                                                                                                                                                                                                                                                                              
                     /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                                                                              833                                                                                                                                                                                                        
                    /    ---- - 2*3 /   -------------- + ------------------------  - ---------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------                                                                                                                                      
                   /     3000     \/    13824000000000         460800000000                         ___________________________________________                  ________________________________________________________________________________________________________________________              ________________________________________________________________________________________________________________________
                  /                                                                                /                        __________________                  /               ___________________________________________                                                                           /               ___________________________________________                                                              
                 /                                                                                /  4150721952341    119*\/ 5595817607218770                  /               /                        __________________                                                                           /               /                        __________________                                                               
                /                                                                    288000000*3 /   -------------- + ------------------------                /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                     /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                          
               /                                                                               \/    13824000000000         460800000000          4000*      /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------           /    ---- + 2*3 /   -------------- + ------------------------  + ---------------------------------------------------------- 
              /                                                                                                                                             /     6000     \/    13824000000000         460800000000                         ___________________________________________          /     6000     \/    13824000000000         460800000000                         ___________________________________________ 
             /                                                                                                                                             /                                                                                /                        __________________          /                                                                                /                        __________________  
            /                                                                                                                                             /                                                                                /  4150721952341    119*\/ 5595817607218770          /                                                                                /  4150721952341    119*\/ 5595817607218770   
           /                                                                                                                                             /                                                                    288000000*3 /   -------------- + ------------------------        /                                                                    288000000*3 /   -------------- + ------------------------  
         \/                                                                                                                                            \/                                                                               \/    13824000000000         460800000000            \/                                                                               \/    13824000000000         460800000000        
x2 = 1 + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                 2                                                                                                                                                                                                           2                                                                 
$$x_{2} = - \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}} - \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{8119}{3000}}}{2} + 1$$
                                                                                                                                                               ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
                                                                                                                                                              /                 ___________________________________________                                                                                                                                                                                                        
                                                                                                                                                             /                 /                        __________________                                                                                                                                                                                                         
                                                                                                                                                            /     8119        /  4150721952341    119*\/ 5595817607218770                                                                       833                                                                                             257918161                          
                                                                                                                                              I*           /    - ---- + 2*3 /   -------------- + ------------------------  + --------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------- 
                   ________________________________________________________________________________________________________________________               /       3000     \/    13824000000000         460800000000                         ________________________________________________________________________________________________________________________                  ___________________________________________ 
                  /               ___________________________________________                                                                            /                                                                                  /               ___________________________________________                                                                               /                        __________________  
                 /               /                        __________________                                                                            /                                                                                  /               /                        __________________                                                                               /  4150721952341    119*\/ 5595817607218770   
                /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                      /                                                                                  /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                             288000000*3 /   -------------- + ------------------------  
               /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------            /                                                                       4000*      /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------              \/    13824000000000         460800000000        
              /     6000     \/    13824000000000         460800000000                         ___________________________________________           /                                                                                  /     6000     \/    13824000000000         460800000000                         ___________________________________________                                                               
             /                                                                                /                        __________________           /                                                                                  /                                                                                /                        __________________                                                                
            /                                                                                /  4150721952341    119*\/ 5595817607218770           /                                                                                  /                                                                                /  4150721952341    119*\/ 5595817607218770                                                                 
           /                                                                    288000000*3 /   -------------- + ------------------------         /                                                                                  /                                                                    288000000*3 /   -------------- + ------------------------                                                                
         \/                                                                               \/    13824000000000         460800000000             \/                                                                                 \/                                                                               \/    13824000000000         460800000000                                                                      
x3 = 1 + ---------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                         2                                                                                                                                                                                                              2                                                                                                                                          
$$x_{3} = 1 + \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} - \frac{i \sqrt{- \frac{8119}{3000} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2}$$
                                                                                                                                                               ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
                                                                                                                                                              /                 ___________________________________________                                                                                                                                                                                                        
                                                                                                                                                             /                 /                        __________________                                                                                                                                                                                                         
                                                                                                                                                            /     8119        /  4150721952341    119*\/ 5595817607218770                                                                       833                                                                                             257918161                          
                                                                                                                                              I*           /    - ---- + 2*3 /   -------------- + ------------------------  + --------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------- 
                   ________________________________________________________________________________________________________________________               /       3000     \/    13824000000000         460800000000                         ________________________________________________________________________________________________________________________                  ___________________________________________ 
                  /               ___________________________________________                                                                            /                                                                                  /               ___________________________________________                                                                               /                        __________________  
                 /               /                        __________________                                                                            /                                                                                  /               /                        __________________                                                                               /  4150721952341    119*\/ 5595817607218770   
                /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                                      /                                                                                  /   8119        /  4150721952341    119*\/ 5595817607218770                             257918161                             288000000*3 /   -------------- + ------------------------  
               /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------            /                                                                       4000*      /    ---- + 2*3 /   -------------- + ------------------------  + ----------------------------------------------------------              \/    13824000000000         460800000000        
              /     6000     \/    13824000000000         460800000000                         ___________________________________________           /                                                                                  /     6000     \/    13824000000000         460800000000                         ___________________________________________                                                               
             /                                                                                /                        __________________           /                                                                                  /                                                                                /                        __________________                                                                
            /                                                                                /  4150721952341    119*\/ 5595817607218770           /                                                                                  /                                                                                /  4150721952341    119*\/ 5595817607218770                                                                 
           /                                                                    288000000*3 /   -------------- + ------------------------         /                                                                                  /                                                                    288000000*3 /   -------------- + ------------------------                                                                
         \/                                                                               \/    13824000000000         460800000000             \/                                                                                 \/                                                                               \/    13824000000000         460800000000                                                                      
x4 = 1 + ---------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                         2                                                                                                                                                                                                              2                                                                                                                                          
$$x_{4} = 1 + \frac{\sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2} + \frac{i \sqrt{- \frac{8119}{3000} + \frac{833}{4000 \sqrt{\frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + \frac{8119}{6000} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}} + \frac{257918161}{288000000 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}} + 2 \sqrt[3]{\frac{119 \sqrt{5595817607218770}}{460800000000} + \frac{4150721952341}{13824000000000}}}}{2}$$
x4 = 1 + sqrt(257918161/(288000000*(119*sqrt(5595817607218770)/460800000000 + 4150721952341/13824000000000)^(1/3)) + 8119/6000 + 2*(119*sqrt(5595817607218770)/460800000000 + 4150721952341/13824000000000)^(1/3))/2 + i*sqrt(-8119/3000 + 833/(4000*sqrt(257918161/(288000000*(119*sqrt(5595817607218770)/460800000000 + 4150721952341/13824000000000)^(1/3)) + 8119/6000 + 2*(119*sqrt(5595817607218770)/460800000000 + 4150721952341/13824000000000)^(1/3))) + 257918161/(288000000*(119*sqrt(5595817607218770)/460800000000 + 4150721952341/13824000000000)^(1/3)) + 2*(119*sqrt(5595817607218770)/460800000000 + 4150721952341/13824000000000)^(1/3))/2
Respuesta numérica [src]
x1 = 2.00379559648572 - 0.136614124473374*i
x2 = 2.00379559648572 + 0.136614124473374*i
x3 = -0.186010359766292
x4 = 0.178419166794859
x4 = 0.178419166794859