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(x^2+8*x-8)^2-18*x^2-18*x+8=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
              2                       
/ 2          \        2               
\x  + 8*x - 8/  - 18*x  - 18*x + 8 = 0
$$\left(- 18 x + \left(- 18 x^{2} + \left(\left(x^{2} + 8 x\right) - 8\right)^{2}\right)\right) + 8 = 0$$
Respuesta rápida [src]
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                                                                                                               /             /  14837   7*I*\/ 18746871                                              252                                                            1462               
                                                                                                              /    88 - 2*3 /   ----- + ----------------  + -------------------------------------------------------------------------------------- - --------------------------------- 
                    ____________________________________________________________________________             /            \/      4            36                     ____________________________________________________________________________          __________________________ 
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                 /             /  14837   7*I*\/ 18746871                    1462                         /                                                        /             /  14837   7*I*\/ 18746871                    1462                  3*3 /   ----- + ----------------  
                /    44 + 2*3 /   ----- + ----------------  + ---------------------------------          /                                                        /    44 + 2*3 /   ----- + ----------------  + ---------------------------------      \/      4            36         
               /            \/      4            36                  __________________________         /                                                        /            \/      4            36                  __________________________                                      
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             /                                                     /  14837   7*I*\/ 18746871         /                                                        /                                                     /  14837   7*I*\/ 18746871                                        
            /                                                 3*3 /   ----- + ----------------       /                                                        /                                                 3*3 /   ----- + ----------------                                       
          \/                                                    \/      4            36            \/                                                       \/                                                    \/      4            36                                              
x1 = -4 - -------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                    2                                                                                                                                       2                                                                                          
$$x_{1} = -4 - \frac{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}{2} - \frac{\sqrt{88 - 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}} + \frac{252}{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}} - \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}}{2}$$
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                      /             /  14837   7*I*\/ 18746871                                              252                                                            1462                                                                                                        
                     /    88 - 2*3 /   ----- + ----------------  + -------------------------------------------------------------------------------------- - ---------------------------------                                                                                          
                    /            \/      4            36                     ____________________________________________________________________________          __________________________              ____________________________________________________________________________
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                  /                                                        /             /               __________                                              /  14837   7*I*\/ 18746871              /             /               __________                                      
                 /                                                        /             /  14837   7*I*\/ 18746871                    1462                  3*3 /   ----- + ----------------            /             /  14837   7*I*\/ 18746871                    1462               
                /                                                        /    44 + 2*3 /   ----- + ----------------  + ---------------------------------      \/      4            36                  /    44 + 2*3 /   ----- + ----------------  + --------------------------------- 
               /                                                        /            \/      4            36                  __________________________                                              /            \/      4            36                  __________________________ 
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             /                                                        /                                                     /  14837   7*I*\/ 18746871                                              /                                                     /  14837   7*I*\/ 18746871   
            /                                                        /                                                 3*3 /   ----- + ----------------                                            /                                                 3*3 /   ----- + ----------------  
          \/                                                       \/                                                    \/      4            36                                                 \/                                                    \/      4            36         
x2 = -4 + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------
                                                                                                   2                                                                                                                                       2                                           
$$x_{2} = -4 - \frac{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}{2} + \frac{\sqrt{88 - 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}} + \frac{252}{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}} - \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}}{2}$$
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                                                                                                              /    88 - -------------------------------------------------------------------------------------- - 2*3 /   ----- + ----------------  - --------------------------------- 
                    ____________________________________________________________________________             /                    ____________________________________________________________________________     \/      4            36                  __________________________ 
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                 /             /  14837   7*I*\/ 18746871                    1462                         /                    /             /  14837   7*I*\/ 18746871                    1462                                                      3*3 /   ----- + ----------------  
                /    44 + 2*3 /   ----- + ----------------  + ---------------------------------          /                    /    44 + 2*3 /   ----- + ----------------  + ---------------------------------                                          \/      4            36         
               /            \/      4            36                  __________________________         /                    /            \/      4            36                  __________________________                                                                          
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             /                                                     /  14837   7*I*\/ 18746871         /                    /                                                     /  14837   7*I*\/ 18746871                                                                            
            /                                                 3*3 /   ----- + ----------------       /                    /                                                 3*3 /   ----- + ----------------                                                                           
          \/                                                    \/      4            36            \/                   \/                                                    \/      4            36                                                                                  
x3 = -4 + -------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                    2                                                                                                                                       2                                                                                          
$$x_{3} = -4 + \frac{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}{2} - \frac{\sqrt{88 - 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}} - \frac{252}{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}} - \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}}{2}$$
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                                                                                                              /    88 - -------------------------------------------------------------------------------------- - 2*3 /   ----- + ----------------  - --------------------------------- 
                    ____________________________________________________________________________             /                    ____________________________________________________________________________     \/      4            36                  __________________________ 
                   /             __________________________                                                 /                    /             __________________________                                                                                  /               __________  
                  /             /               __________                                                 /                    /             /               __________                                                                                  /  14837   7*I*\/ 18746871   
                 /             /  14837   7*I*\/ 18746871                    1462                         /                    /             /  14837   7*I*\/ 18746871                    1462                                                      3*3 /   ----- + ----------------  
                /    44 + 2*3 /   ----- + ----------------  + ---------------------------------          /                    /    44 + 2*3 /   ----- + ----------------  + ---------------------------------                                          \/      4            36         
               /            \/      4            36                  __________________________         /                    /            \/      4            36                  __________________________                                                                          
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             /                                                     /  14837   7*I*\/ 18746871         /                    /                                                     /  14837   7*I*\/ 18746871                                                                            
            /                                                 3*3 /   ----- + ----------------       /                    /                                                 3*3 /   ----- + ----------------                                                                           
          \/                                                    \/      4            36            \/                   \/                                                    \/      4            36                                                                                  
x4 = -4 + -------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                    2                                                                                                                                       2                                                                                          
$$x_{4} = -4 + \frac{\sqrt{88 - 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}} - \frac{252}{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}} - \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}}{2} + \frac{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}{2}$$
x4 = -4 + sqrt(88 - 2*(14837/4 + 7*sqrt(18746871)*i/36)^(1/3) - 252/sqrt(44 + 1462/(3*(14837/4 + 7*sqrt(18746871)*i/36)^(1/3)) + 2*(14837/4 + 7*sqrt(18746871)*i/36)^(1/3)) - 1462/(3*(14837/4 + 7*sqrt(18746871)*i/36)^(1/3)))/2 + sqrt(44 + 1462/(3*(14837/4 + 7*sqrt(18746871)*i/36)^(1/3)) + 2*(14837/4 + 7*sqrt(18746871)*i/36)^(1/3))/2
Suma y producto de raíces [src]
suma
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                                                                                                          /             /  14837   7*I*\/ 18746871                                              252                                                            1462                                   /             /  14837   7*I*\/ 18746871                                              252                                                            1462                                                                                                                                                                                                                     /                                                 252                                                  /  14837   7*I*\/ 18746871                    1462                                                                                                                            /                                                 252                                                  /  14837   7*I*\/ 18746871                    1462               
                                                                                                         /    88 - 2*3 /   ----- + ----------------  + -------------------------------------------------------------------------------------- - ---------------------------------                    /    88 - 2*3 /   ----- + ----------------  + -------------------------------------------------------------------------------------- - ---------------------------------                                                                                                                                                                                                      /    88 - -------------------------------------------------------------------------------------- - 2*3 /   ----- + ----------------  - ---------------------------------                                                                                                             /    88 - -------------------------------------------------------------------------------------- - 2*3 /   ----- + ----------------  - --------------------------------- 
               ____________________________________________________________________________             /            \/      4            36                     ____________________________________________________________________________          __________________________                   /            \/      4            36                     ____________________________________________________________________________          __________________________              ____________________________________________________________________________                  ____________________________________________________________________________             /                    ____________________________________________________________________________     \/      4            36                  __________________________                   ____________________________________________________________________________             /                    ____________________________________________________________________________     \/      4            36                  __________________________ 
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             /             /               __________                                                 /                                                        /             /               __________                                              /  14837   7*I*\/ 18746871                   /                                                        /             /               __________                                              /  14837   7*I*\/ 18746871              /             /               __________                                                      /             /               __________                                                 /                    /             /               __________                                                                                  /  14837   7*I*\/ 18746871                   /             /               __________                                                 /                    /             /               __________                                                                                  /  14837   7*I*\/ 18746871   
            /             /  14837   7*I*\/ 18746871                    1462                         /                                                        /             /  14837   7*I*\/ 18746871                    1462                  3*3 /   ----- + ----------------                 /                                                        /             /  14837   7*I*\/ 18746871                    1462                  3*3 /   ----- + ----------------            /             /  14837   7*I*\/ 18746871                    1462                              /             /  14837   7*I*\/ 18746871                    1462                         /                    /             /  14837   7*I*\/ 18746871                    1462                                                      3*3 /   ----- + ----------------                 /             /  14837   7*I*\/ 18746871                    1462                         /                    /             /  14837   7*I*\/ 18746871                    1462                                                      3*3 /   ----- + ----------------  
           /    44 + 2*3 /   ----- + ----------------  + ---------------------------------          /                                                        /    44 + 2*3 /   ----- + ----------------  + ---------------------------------      \/      4            36                       /                                                        /    44 + 2*3 /   ----- + ----------------  + ---------------------------------      \/      4            36                  /    44 + 2*3 /   ----- + ----------------  + ---------------------------------               /    44 + 2*3 /   ----- + ----------------  + ---------------------------------          /                    /    44 + 2*3 /   ----- + ----------------  + ---------------------------------                                          \/      4            36                       /    44 + 2*3 /   ----- + ----------------  + ---------------------------------          /                    /    44 + 2*3 /   ----- + ----------------  + ---------------------------------                                          \/      4            36         
          /            \/      4            36                  __________________________         /                                                        /            \/      4            36                  __________________________                                                   /                                                        /            \/      4            36                  __________________________                                              /            \/      4            36                  __________________________              /            \/      4            36                  __________________________         /                    /            \/      4            36                  __________________________                                                                                       /            \/      4            36                  __________________________         /                    /            \/      4            36                  __________________________                                                                          
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        /                                                     /  14837   7*I*\/ 18746871         /                                                        /                                                     /  14837   7*I*\/ 18746871                                                   /                                                        /                                                     /  14837   7*I*\/ 18746871                                              /                                                     /  14837   7*I*\/ 18746871              /                                                     /  14837   7*I*\/ 18746871         /                    /                                                     /  14837   7*I*\/ 18746871                                                                                       /                                                     /  14837   7*I*\/ 18746871         /                    /                                                     /  14837   7*I*\/ 18746871                                                                            
       /                                                 3*3 /   ----- + ----------------       /                                                        /                                                 3*3 /   ----- + ----------------                                                 /                                                        /                                                 3*3 /   ----- + ----------------                                            /                                                 3*3 /   ----- + ----------------            /                                                 3*3 /   ----- + ----------------       /                    /                                                 3*3 /   ----- + ----------------                                                                                     /                                                 3*3 /   ----- + ----------------       /                    /                                                 3*3 /   ----- + ----------------                                                                           
     \/                                                    \/      4            36            \/                                                       \/                                                    \/      4            36                                                      \/                                                       \/                                                    \/      4            36                                                 \/                                                    \/      4            36                 \/                                                    \/      4            36            \/                   \/                                                    \/      4            36                                                                                          \/                                                    \/      4            36            \/                   \/                                                    \/      4            36                                                                                  
-4 - -------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + -4 + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------------- + -4 + -------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + -4 + -------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                               2                                                                                                                                       2                                                                                                                                                                                           2                                                                                                                                       2                                                                                             2                                                                                                                                       2                                                                                                                                            2                                                                                                                                       2                                                                                          
$$\left(-4 + \frac{\sqrt{88 - 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}} - \frac{252}{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}} - \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}}{2} + \frac{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}{2}\right) + \left(\left(\left(-4 - \frac{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}{2} + \frac{\sqrt{88 - 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}} + \frac{252}{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}} - \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}}{2}\right) + \left(-4 - \frac{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}{2} - \frac{\sqrt{88 - 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}} + \frac{252}{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}} - \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}}{2}\right)\right) + \left(-4 + \frac{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}{2} - \frac{\sqrt{88 - 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}} - \frac{252}{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}} - \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}}{2}\right)\right)$$
=
-16
$$-16$$
producto
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|                                                                                                          /             /  14837   7*I*\/ 18746871                                              252                                                            1462               | |                 /             /  14837   7*I*\/ 18746871                                              252                                                            1462                                                                                                        | |                                                                                                          /                                                 252                                                  /  14837   7*I*\/ 18746871                    1462               | |                                                                                                          /                                                 252                                                  /  14837   7*I*\/ 18746871                    1462               |
|                                                                                                         /    88 - 2*3 /   ----- + ----------------  + -------------------------------------------------------------------------------------- - --------------------------------- | |                /    88 - 2*3 /   ----- + ----------------  + -------------------------------------------------------------------------------------- - ---------------------------------                                                                                          | |                                                                                                         /    88 - -------------------------------------------------------------------------------------- - 2*3 /   ----- + ----------------  - --------------------------------- | |                                                                                                         /    88 - -------------------------------------------------------------------------------------- - 2*3 /   ----- + ----------------  - --------------------------------- |
|               ____________________________________________________________________________             /            \/      4            36                     ____________________________________________________________________________          __________________________ | |               /            \/      4            36                     ____________________________________________________________________________          __________________________              ____________________________________________________________________________| |               ____________________________________________________________________________             /                    ____________________________________________________________________________     \/      4            36                  __________________________ | |               ____________________________________________________________________________             /                    ____________________________________________________________________________     \/      4            36                  __________________________ |
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|            /             /  14837   7*I*\/ 18746871                    1462                         /                                                        /             /  14837   7*I*\/ 18746871                    1462                  3*3 /   ----- + ----------------  | |            /                                                        /             /  14837   7*I*\/ 18746871                    1462                  3*3 /   ----- + ----------------            /             /  14837   7*I*\/ 18746871                    1462               | |            /             /  14837   7*I*\/ 18746871                    1462                         /                    /             /  14837   7*I*\/ 18746871                    1462                                                      3*3 /   ----- + ----------------  | |            /             /  14837   7*I*\/ 18746871                    1462                         /                    /             /  14837   7*I*\/ 18746871                    1462                                                      3*3 /   ----- + ----------------  |
|           /    44 + 2*3 /   ----- + ----------------  + ---------------------------------          /                                                        /    44 + 2*3 /   ----- + ----------------  + ---------------------------------      \/      4            36         | |           /                                                        /    44 + 2*3 /   ----- + ----------------  + ---------------------------------      \/      4            36                  /    44 + 2*3 /   ----- + ----------------  + --------------------------------- | |           /    44 + 2*3 /   ----- + ----------------  + ---------------------------------          /                    /    44 + 2*3 /   ----- + ----------------  + ---------------------------------                                          \/      4            36         | |           /    44 + 2*3 /   ----- + ----------------  + ---------------------------------          /                    /    44 + 2*3 /   ----- + ----------------  + ---------------------------------                                          \/      4            36         |
|          /            \/      4            36                  __________________________         /                                                        /            \/      4            36                  __________________________                                      | |          /                                                        /            \/      4            36                  __________________________                                              /            \/      4            36                  __________________________ | |          /            \/      4            36                  __________________________         /                    /            \/      4            36                  __________________________                                                                          | |          /            \/      4            36                  __________________________         /                    /            \/      4            36                  __________________________                                                                          |
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|        /                                                     /  14837   7*I*\/ 18746871         /                                                        /                                                     /  14837   7*I*\/ 18746871                                        | |        /                                                        /                                                     /  14837   7*I*\/ 18746871                                              /                                                     /  14837   7*I*\/ 18746871   | |        /                                                     /  14837   7*I*\/ 18746871         /                    /                                                     /  14837   7*I*\/ 18746871                                                                            | |        /                                                     /  14837   7*I*\/ 18746871         /                    /                                                     /  14837   7*I*\/ 18746871                                                                            |
|       /                                                 3*3 /   ----- + ----------------       /                                                        /                                                 3*3 /   ----- + ----------------                                       | |       /                                                        /                                                 3*3 /   ----- + ----------------                                            /                                                 3*3 /   ----- + ----------------  | |       /                                                 3*3 /   ----- + ----------------       /                    /                                                 3*3 /   ----- + ----------------                                                                           | |       /                                                 3*3 /   ----- + ----------------       /                    /                                                 3*3 /   ----- + ----------------                                                                           |
|     \/                                                    \/      4            36            \/                                                       \/                                                    \/      4            36                                              | |     \/                                                       \/                                                    \/      4            36                                                 \/                                                    \/      4            36         | |     \/                                                    \/      4            36            \/                   \/                                                    \/      4            36                                                                                  | |     \/                                                    \/      4            36            \/                   \/                                                    \/      4            36                                                                                  |
|-4 - -------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-4 + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------|*|-4 + -------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-4 + -------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
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$$\left(-4 - \frac{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}{2} - \frac{\sqrt{88 - 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}} + \frac{252}{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}} - \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}}{2}\right) \left(-4 - \frac{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}{2} + \frac{\sqrt{88 - 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}} + \frac{252}{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}} - \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}}{2}\right) \left(-4 + \frac{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}{2} - \frac{\sqrt{88 - 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}} - \frac{252}{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}} - \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}}{2}\right) \left(-4 + \frac{\sqrt{88 - 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}} - \frac{252}{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}} - \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}}{2} + \frac{\sqrt{44 + \frac{1462}{3 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}} + 2 \sqrt[3]{\frac{14837}{4} + \frac{7 \sqrt{18746871} i}{36}}}}{2}\right)$$
=
72
$$72$$
72
Respuesta numérica [src]
x1 = -12.6961445858056
x2 = 1.72167564810638
x3 = -5.61242393087467
x4 = 0.586892868573851
x4 = 0.586892868573851