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(1-x*2)/(x^2*(x^2-2x+1))=15233 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
     1 - x*2             
----------------- = 15233
 2 / 2          \        
x *\x  - 2*x + 1/        
$$\frac{- 2 x + 1}{x^{2} \left(\left(x^{2} - 2 x\right) + 1\right)} = 15233$$
Respuesta rápida [src]
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                                                                                                                    /   2        /   232044343    \/ 174033237                       1                                                                     4                                                  
                                                                                                                   /    - - 2*3 /   ----------- + -------------  - ------------------------------------- + -------------------------------------------------------------------------------------------------- 
                   __________________________________________________________________________________             /     3     \/    50121566424     4176797202             _____________________________                   __________________________________________________________________________________ 
                  /            _____________________________                                                     /                                                        /                 ___________                   /            _____________________________                                          
                 /            /                 ___________                                                     /                                                        /   232044343    \/ 174033237                   /            /                 ___________                                           
                /   1        /   232044343    \/ 174033237                       1                             /                                                   18*3 /   ----------- + -------------                 /   1        /   232044343    \/ 174033237                       1                    
               /    - + 2*3 /   ----------- + -------------  + -------------------------------------          /                                                       \/    50121566424     4176797202     15233*      /    - + 2*3 /   ----------- + -------------  + -------------------------------------  
              /     3     \/    50121566424     4176797202             _____________________________         /                                                                                                        /     3     \/    50121566424     4176797202             _____________________________  
             /                                                        /                 ___________         /                                                                                                        /                                                        /                 ___________   
            /                                                        /   232044343    \/ 174033237         /                                                                                                        /                                                        /   232044343    \/ 174033237    
           /                                                   18*3 /   ----------- + -------------       /                                                                                                        /                                                   18*3 /   ----------- + -------------   
     1   \/                                                       \/    50121566424     4176797202      \/                                                                                                       \/                                                       \/    50121566424     4176797202    
x1 = - - -------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     2                                                2                                                                                                                                                   2                                                                                                   
$$x_{1} = - \frac{\sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}} - \frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{4}{15233 \sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}} + \frac{2}{3}}}{2} + \frac{1}{2}$$
                        _______________________________________________________________________________________________________________________________________________________________________________________                                                                                               
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                     /   2        /   232044343    \/ 174033237                       1                                                                     4                                                                                                                                                 
                    /    - - 2*3 /   ----------- + -------------  - ------------------------------------- + --------------------------------------------------------------------------------------------------                                                                                                
                   /     3     \/    50121566424     4176797202             _____________________________                   __________________________________________________________________________________              __________________________________________________________________________________
                  /                                                        /                 ___________                   /            _____________________________                                                      /            _____________________________                                         
                 /                                                        /   232044343    \/ 174033237                   /            /                 ___________                                                      /            /                 ___________                                          
                /                                                   18*3 /   ----------- + -------------                 /   1        /   232044343    \/ 174033237                       1                              /   1        /   232044343    \/ 174033237                       1                   
               /                                                       \/    50121566424     4176797202     15233*      /    - + 2*3 /   ----------- + -------------  + -------------------------------------           /    - + 2*3 /   ----------- + -------------  + ------------------------------------- 
              /                                                                                                        /     3     \/    50121566424     4176797202             _____________________________          /     3     \/    50121566424     4176797202             _____________________________ 
             /                                                                                                        /                                                        /                 ___________          /                                                        /                 ___________  
            /                                                                                                        /                                                        /   232044343    \/ 174033237          /                                                        /   232044343    \/ 174033237   
           /                                                                                                        /                                                   18*3 /   ----------- + -------------        /                                                   18*3 /   ----------- + -------------  
     1   \/                                                                                                       \/                                                       \/    50121566424     4176797202       \/                                                       \/    50121566424     4176797202   
x2 = - + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------
     2                                                                                                     2                                                                                                                                                   2                                              
$$x_{2} = - \frac{\sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}} - \frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{4}{15233 \sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}} + \frac{2}{3}}}{2} + \frac{1}{2}$$
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                                                                                                                      /     2        /   232044343    \/ 174033237                       1                                                                     4                                                  
                                                                                                        I*           /    - - + 2*3 /   ----------- + -------------  + ------------------------------------- + -------------------------------------------------------------------------------------------------- 
                   __________________________________________________________________________________               /       3     \/    50121566424     4176797202             _____________________________                   __________________________________________________________________________________ 
                  /            _____________________________                                                       /                                                          /                 ___________                   /            _____________________________                                          
                 /            /                 ___________                                                       /                                                          /   232044343    \/ 174033237                   /            /                 ___________                                           
                /   1        /   232044343    \/ 174033237                       1                               /                                                     18*3 /   ----------- + -------------                 /   1        /   232044343    \/ 174033237                       1                    
               /    - + 2*3 /   ----------- + -------------  + -------------------------------------            /                                                         \/    50121566424     4176797202     15233*      /    - + 2*3 /   ----------- + -------------  + -------------------------------------  
              /     3     \/    50121566424     4176797202             _____________________________           /                                                                                                          /     3     \/    50121566424     4176797202             _____________________________  
             /                                                        /                 ___________           /                                                                                                          /                                                        /                 ___________   
            /                                                        /   232044343    \/ 174033237           /                                                                                                          /                                                        /   232044343    \/ 174033237    
           /                                                   18*3 /   ----------- + -------------         /                                                                                                          /                                                   18*3 /   ----------- + -------------   
     1   \/                                                       \/    50121566424     4176797202        \/                                                                                                         \/                                                       \/    50121566424     4176797202    
x3 = - + -------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     2                                                2                                                                                                                                                     2                                                                                                     
$$x_{3} = \frac{1}{2} + \frac{\sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2} - \frac{i \sqrt{- \frac{2}{3} + \frac{4}{15233 \sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}} + \frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2}$$
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                                                                                                                       /              /                 ___________                                                                                                                                               
                                                                                                                      /     2        /   232044343    \/ 174033237                       1                                                                     4                                                  
                                                                                                        I*           /    - - + 2*3 /   ----------- + -------------  + ------------------------------------- + -------------------------------------------------------------------------------------------------- 
                   __________________________________________________________________________________               /       3     \/    50121566424     4176797202             _____________________________                   __________________________________________________________________________________ 
                  /            _____________________________                                                       /                                                          /                 ___________                   /            _____________________________                                          
                 /            /                 ___________                                                       /                                                          /   232044343    \/ 174033237                   /            /                 ___________                                           
                /   1        /   232044343    \/ 174033237                       1                               /                                                     18*3 /   ----------- + -------------                 /   1        /   232044343    \/ 174033237                       1                    
               /    - + 2*3 /   ----------- + -------------  + -------------------------------------            /                                                         \/    50121566424     4176797202     15233*      /    - + 2*3 /   ----------- + -------------  + -------------------------------------  
              /     3     \/    50121566424     4176797202             _____________________________           /                                                                                                          /     3     \/    50121566424     4176797202             _____________________________  
             /                                                        /                 ___________           /                                                                                                          /                                                        /                 ___________   
            /                                                        /   232044343    \/ 174033237           /                                                                                                          /                                                        /   232044343    \/ 174033237    
           /                                                   18*3 /   ----------- + -------------         /                                                                                                          /                                                   18*3 /   ----------- + -------------   
     1   \/                                                       \/    50121566424     4176797202        \/                                                                                                         \/                                                       \/    50121566424     4176797202    
x4 = - + -------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     2                                                2                                                                                                                                                     2                                                                                                     
$$x_{4} = \frac{1}{2} + \frac{\sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2} + \frac{i \sqrt{- \frac{2}{3} + \frac{4}{15233 \sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}} + \frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2}$$
x4 = 1/2 + sqrt(1/(18*(sqrt(174033237)/4176797202 + 232044343/50121566424)^(1/3)) + 1/3 + 2*(sqrt(174033237)/4176797202 + 232044343/50121566424)^(1/3))/2 + i*sqrt(-2/3 + 4/(15233*sqrt(1/(18*(sqrt(174033237)/4176797202 + 232044343/50121566424)^(1/3)) + 1/3 + 2*(sqrt(174033237)/4176797202 + 232044343/50121566424)^(1/3))) + 1/(18*(sqrt(174033237)/4176797202 + 232044343/50121566424)^(1/3)) + 2*(sqrt(174033237)/4176797202 + 232044343/50121566424)^(1/3))/2
Suma y producto de raíces [src]
suma
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                                                                                                               /   2        /   232044343    \/ 174033237                       1                                                                     4                                                                     /   2        /   232044343    \/ 174033237                       1                                                                     4                                                                                                                                                                                                                                                                     /     2        /   232044343    \/ 174033237                       1                                                                     4                                                                                                                                                                      /     2        /   232044343    \/ 174033237                       1                                                                     4                                                  
                                                                                                              /    - - 2*3 /   ----------- + -------------  - ------------------------------------- + --------------------------------------------------------------------------------------------------                   /    - - 2*3 /   ----------- + -------------  - ------------------------------------- + --------------------------------------------------------------------------------------------------                                                                                                                                                                                                      I*           /    - - + 2*3 /   ----------- + -------------  + ------------------------------------- + --------------------------------------------------------------------------------------------------                                                                                                       I*           /    - - + 2*3 /   ----------- + -------------  + ------------------------------------- + -------------------------------------------------------------------------------------------------- 
              __________________________________________________________________________________             /     3     \/    50121566424     4176797202             _____________________________                   __________________________________________________________________________________                  /     3     \/    50121566424     4176797202             _____________________________                   __________________________________________________________________________________              __________________________________________________________________________________                 __________________________________________________________________________________               /       3     \/    50121566424     4176797202             _____________________________                   __________________________________________________________________________________                  __________________________________________________________________________________               /       3     \/    50121566424     4176797202             _____________________________                   __________________________________________________________________________________ 
             /            _____________________________                                                     /                                                        /                 ___________                   /            _____________________________                                                          /                                                        /                 ___________                   /            _____________________________                                                      /            _____________________________                                                         /            _____________________________                                                       /                                                          /                 ___________                   /            _____________________________                                                          /            _____________________________                                                       /                                                          /                 ___________                   /            _____________________________                                          
            /            /                 ___________                                                     /                                                        /   232044343    \/ 174033237                   /            /                 ___________                                                          /                                                        /   232044343    \/ 174033237                   /            /                 ___________                                                      /            /                 ___________                                                         /            /                 ___________                                                       /                                                          /   232044343    \/ 174033237                   /            /                 ___________                                                          /            /                 ___________                                                       /                                                          /   232044343    \/ 174033237                   /            /                 ___________                                           
           /   1        /   232044343    \/ 174033237                       1                             /                                                   18*3 /   ----------- + -------------                 /   1        /   232044343    \/ 174033237                       1                                  /                                                   18*3 /   ----------- + -------------                 /   1        /   232044343    \/ 174033237                       1                              /   1        /   232044343    \/ 174033237                       1                                 /   1        /   232044343    \/ 174033237                       1                               /                                                     18*3 /   ----------- + -------------                 /   1        /   232044343    \/ 174033237                       1                                  /   1        /   232044343    \/ 174033237                       1                               /                                                     18*3 /   ----------- + -------------                 /   1        /   232044343    \/ 174033237                       1                    
          /    - + 2*3 /   ----------- + -------------  + -------------------------------------          /                                                       \/    50121566424     4176797202     15233*      /    - + 2*3 /   ----------- + -------------  + -------------------------------------               /                                                       \/    50121566424     4176797202     15233*      /    - + 2*3 /   ----------- + -------------  + -------------------------------------           /    - + 2*3 /   ----------- + -------------  + -------------------------------------              /    - + 2*3 /   ----------- + -------------  + -------------------------------------            /                                                         \/    50121566424     4176797202     15233*      /    - + 2*3 /   ----------- + -------------  + -------------------------------------               /    - + 2*3 /   ----------- + -------------  + -------------------------------------            /                                                         \/    50121566424     4176797202     15233*      /    - + 2*3 /   ----------- + -------------  + -------------------------------------  
         /     3     \/    50121566424     4176797202             _____________________________         /                                                                                                        /     3     \/    50121566424     4176797202             _____________________________              /                                                                                                        /     3     \/    50121566424     4176797202             _____________________________          /     3     \/    50121566424     4176797202             _____________________________             /     3     \/    50121566424     4176797202             _____________________________           /                                                                                                          /     3     \/    50121566424     4176797202             _____________________________              /     3     \/    50121566424     4176797202             _____________________________           /                                                                                                          /     3     \/    50121566424     4176797202             _____________________________  
        /                                                        /                 ___________         /                                                                                                        /                                                        /                 ___________              /                                                                                                        /                                                        /                 ___________          /                                                        /                 ___________             /                                                        /                 ___________           /                                                                                                          /                                                        /                 ___________              /                                                        /                 ___________           /                                                                                                          /                                                        /                 ___________   
       /                                                        /   232044343    \/ 174033237         /                                                                                                        /                                                        /   232044343    \/ 174033237              /                                                                                                        /                                                        /   232044343    \/ 174033237          /                                                        /   232044343    \/ 174033237             /                                                        /   232044343    \/ 174033237           /                                                                                                          /                                                        /   232044343    \/ 174033237              /                                                        /   232044343    \/ 174033237           /                                                                                                          /                                                        /   232044343    \/ 174033237    
      /                                                   18*3 /   ----------- + -------------       /                                                                                                        /                                                   18*3 /   ----------- + -------------            /                                                                                                        /                                                   18*3 /   ----------- + -------------        /                                                   18*3 /   ----------- + -------------           /                                                   18*3 /   ----------- + -------------         /                                                                                                          /                                                   18*3 /   ----------- + -------------            /                                                   18*3 /   ----------- + -------------         /                                                                                                          /                                                   18*3 /   ----------- + -------------   
1   \/                                                       \/    50121566424     4176797202      \/                                                                                                       \/                                                       \/    50121566424     4176797202       1   \/                                                                                                       \/                                                       \/    50121566424     4176797202       \/                                                       \/    50121566424     4176797202      1   \/                                                       \/    50121566424     4176797202        \/                                                                                                         \/                                                       \/    50121566424     4176797202       1   \/                                                       \/    50121566424     4176797202        \/                                                                                                         \/                                                       \/    50121566424     4176797202    
- - -------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + - + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------------------- + - + -------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + -------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2                                                2                                                                                                                                                   2                                                                                                      2                                                                                                     2                                                                                                                                                   2                                                 2                                                2                                                                                                                                                     2                                                                                                        2                                                2                                                                                                                                                     2                                                                                                     
$$\left(\left(\left(- \frac{\sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}} - \frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{4}{15233 \sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}} + \frac{2}{3}}}{2} + \frac{1}{2}\right) + \left(- \frac{\sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}} - \frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{4}{15233 \sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}} + \frac{2}{3}}}{2} + \frac{1}{2}\right)\right) + \left(\frac{1}{2} + \frac{\sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2} - \frac{i \sqrt{- \frac{2}{3} + \frac{4}{15233 \sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}} + \frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2}\right)\right) + \left(\frac{1}{2} + \frac{\sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2} + \frac{i \sqrt{- \frac{2}{3} + \frac{4}{15233 \sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}} + \frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2}\right)$$
=
2
$$2$$
producto
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|                                                                                                               /   2        /   232044343    \/ 174033237                       1                                                                     4                                                  | |                /   2        /   232044343    \/ 174033237                       1                                                                     4                                                                                                                                                 | |                                                                                                                 /     2        /   232044343    \/ 174033237                       1                                                                     4                                                  | |                                                                                                                 /     2        /   232044343    \/ 174033237                       1                                                                     4                                                  |
|                                                                                                              /    - - 2*3 /   ----------- + -------------  - ------------------------------------- + -------------------------------------------------------------------------------------------------- | |               /    - - 2*3 /   ----------- + -------------  - ------------------------------------- + --------------------------------------------------------------------------------------------------                                                                                                | |                                                                                                   I*           /    - - + 2*3 /   ----------- + -------------  + ------------------------------------- + -------------------------------------------------------------------------------------------------- | |                                                                                                   I*           /    - - + 2*3 /   ----------- + -------------  + ------------------------------------- + -------------------------------------------------------------------------------------------------- |
|              __________________________________________________________________________________             /     3     \/    50121566424     4176797202             _____________________________                   __________________________________________________________________________________ | |              /     3     \/    50121566424     4176797202             _____________________________                   __________________________________________________________________________________              __________________________________________________________________________________| |              __________________________________________________________________________________               /       3     \/    50121566424     4176797202             _____________________________                   __________________________________________________________________________________ | |              __________________________________________________________________________________               /       3     \/    50121566424     4176797202             _____________________________                   __________________________________________________________________________________ |
|             /            _____________________________                                                     /                                                        /                 ___________                   /            _____________________________                                          | |             /                                                        /                 ___________                   /            _____________________________                                                      /            _____________________________                                         | |             /            _____________________________                                                       /                                                          /                 ___________                   /            _____________________________                                          | |             /            _____________________________                                                       /                                                          /                 ___________                   /            _____________________________                                          |
|            /            /                 ___________                                                     /                                                        /   232044343    \/ 174033237                   /            /                 ___________                                           | |            /                                                        /   232044343    \/ 174033237                   /            /                 ___________                                                      /            /                 ___________                                          | |            /            /                 ___________                                                       /                                                          /   232044343    \/ 174033237                   /            /                 ___________                                           | |            /            /                 ___________                                                       /                                                          /   232044343    \/ 174033237                   /            /                 ___________                                           |
|           /   1        /   232044343    \/ 174033237                       1                             /                                                   18*3 /   ----------- + -------------                 /   1        /   232044343    \/ 174033237                       1                    | |           /                                                   18*3 /   ----------- + -------------                 /   1        /   232044343    \/ 174033237                       1                              /   1        /   232044343    \/ 174033237                       1                   | |           /   1        /   232044343    \/ 174033237                       1                               /                                                     18*3 /   ----------- + -------------                 /   1        /   232044343    \/ 174033237                       1                    | |           /   1        /   232044343    \/ 174033237                       1                               /                                                     18*3 /   ----------- + -------------                 /   1        /   232044343    \/ 174033237                       1                    |
|          /    - + 2*3 /   ----------- + -------------  + -------------------------------------          /                                                       \/    50121566424     4176797202     15233*      /    - + 2*3 /   ----------- + -------------  + -------------------------------------  | |          /                                                       \/    50121566424     4176797202     15233*      /    - + 2*3 /   ----------- + -------------  + -------------------------------------           /    - + 2*3 /   ----------- + -------------  + ------------------------------------- | |          /    - + 2*3 /   ----------- + -------------  + -------------------------------------            /                                                         \/    50121566424     4176797202     15233*      /    - + 2*3 /   ----------- + -------------  + -------------------------------------  | |          /    - + 2*3 /   ----------- + -------------  + -------------------------------------            /                                                         \/    50121566424     4176797202     15233*      /    - + 2*3 /   ----------- + -------------  + -------------------------------------  |
|         /     3     \/    50121566424     4176797202             _____________________________         /                                                                                                        /     3     \/    50121566424     4176797202             _____________________________  | |         /                                                                                                        /     3     \/    50121566424     4176797202             _____________________________          /     3     \/    50121566424     4176797202             _____________________________ | |         /     3     \/    50121566424     4176797202             _____________________________           /                                                                                                          /     3     \/    50121566424     4176797202             _____________________________  | |         /     3     \/    50121566424     4176797202             _____________________________           /                                                                                                          /     3     \/    50121566424     4176797202             _____________________________  |
|        /                                                        /                 ___________         /                                                                                                        /                                                        /                 ___________   | |        /                                                                                                        /                                                        /                 ___________          /                                                        /                 ___________  | |        /                                                        /                 ___________           /                                                                                                          /                                                        /                 ___________   | |        /                                                        /                 ___________           /                                                                                                          /                                                        /                 ___________   |
|       /                                                        /   232044343    \/ 174033237         /                                                                                                        /                                                        /   232044343    \/ 174033237    | |       /                                                                                                        /                                                        /   232044343    \/ 174033237          /                                                        /   232044343    \/ 174033237   | |       /                                                        /   232044343    \/ 174033237           /                                                                                                          /                                                        /   232044343    \/ 174033237    | |       /                                                        /   232044343    \/ 174033237           /                                                                                                          /                                                        /   232044343    \/ 174033237    |
|      /                                                   18*3 /   ----------- + -------------       /                                                                                                        /                                                   18*3 /   ----------- + -------------   | |      /                                                                                                        /                                                   18*3 /   ----------- + -------------        /                                                   18*3 /   ----------- + -------------  | |      /                                                   18*3 /   ----------- + -------------         /                                                                                                          /                                                   18*3 /   ----------- + -------------   | |      /                                                   18*3 /   ----------- + -------------         /                                                                                                          /                                                   18*3 /   ----------- + -------------   |
|1   \/                                                       \/    50121566424     4176797202      \/                                                                                                       \/                                                       \/    50121566424     4176797202    | |1   \/                                                                                                       \/                                                       \/    50121566424     4176797202       \/                                                       \/    50121566424     4176797202   | |1   \/                                                       \/    50121566424     4176797202        \/                                                                                                         \/                                                       \/    50121566424     4176797202    | |1   \/                                                       \/    50121566424     4176797202        \/                                                                                                         \/                                                       \/    50121566424     4176797202    |
|- - -------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------|*|- + -------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + -------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\2                                                2                                                                                                                                                   2                                                                                                   / \2                                                                                                     2                                                                                                                                                   2                                              / \2                                                2                                                                                                                                                     2                                                                                                     / \2                                                2                                                                                                                                                     2                                                                                                     /
$$\left(- \frac{\sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}} - \frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{4}{15233 \sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}} + \frac{2}{3}}}{2} + \frac{1}{2}\right) \left(- \frac{\sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}} - \frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{4}{15233 \sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}} + \frac{2}{3}}}{2} + \frac{1}{2}\right) \left(\frac{1}{2} + \frac{\sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2} - \frac{i \sqrt{- \frac{2}{3} + \frac{4}{15233 \sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}} + \frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2}\right) \left(\frac{1}{2} + \frac{\sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2} + \frac{i \sqrt{- \frac{2}{3} + \frac{4}{15233 \sqrt{\frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + \frac{1}{3} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}} + \frac{1}{18 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}} + 2 \sqrt[3]{\frac{\sqrt{174033237}}{4176797202} + \frac{232044343}{50121566424}}}}{2}\right)$$
=
-1/15233
$$- \frac{1}{15233}$$
-1/15233
Respuesta numérica [src]
x1 = 1.00000000430952 - 0.00810254649201802*i
x2 = 1.00000000430952 + 0.00810254649201802*i
x3 = -0.00810201891154155
x4 = 0.00810201029249761
x4 = 0.00810201029249761