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(x^2-2)/(x^2+2)-(x-1)/(x)-(x+3)/(x+2)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
 2                        
x  - 2   x - 1   x + 3    
------ - ----- - ----- = 0
 2         x     x + 2    
x  + 2                    
$$\left(\frac{x^{2} - 2}{x^{2} + 2} - \frac{x - 1}{x}\right) - \frac{x + 3}{x + 2} = 0$$
Gráfica
Respuesta rápida [src]
                          ____________________________________________________________________________________________________________________________________                                                                        
                         /               _________________                                                                                                                                                                            
                        /               /           _____                                                                                                                                                                             
                       /     10        /  242   2*\/ 235                                       18                                               52                                                                                    
                      /    - -- - 2*3 /   --- + ---------  + --------------------------------------------------------------------- + ------------------------                                                                         
                     /       3      \/     27       3                  ___________________________________________________________          _________________              ___________________________________________________________
                    /                                                 /              _________________                                     /           _____              /              _________________                            
                   /                                                 /              /           _____                                     /  242   2*\/ 235              /              /           _____                             
                  /                                                 /     5        /  242   2*\/ 235                52               9*3 /   --- + ---------            /     5        /  242   2*\/ 235                52            
                 /                                                 /    - - + 2*3 /   --- + ---------  - ------------------------      \/     27       3               /    - - + 2*3 /   --- + ---------  - ------------------------ 
                /                                                 /       3     \/     27       3               _________________                                     /       3     \/     27       3               _________________ 
               /                                                 /                                             /           _____                                     /                                             /           _____  
              /                                                 /                                             /  242   2*\/ 235                                     /                                             /  242   2*\/ 235   
             /                                                 /                                         9*3 /   --- + ---------                                   /                                         9*3 /   --- + ---------  
       1   \/                                                \/                                            \/     27       3                                     \/                                            \/     27       3      
x1 = - - + --------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------
       2                                                                            2                                                                                                              2                                  
$$x_{1} = - \frac{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}{2} - \frac{1}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}} - \frac{10}{3} + \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} + \frac{18}{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}}}{2}$$
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                                                                                                 /               _________________                                                                                                    
                                                                                                /               /           _____                                                                                                     
                                                                                               /     10        /  242   2*\/ 235                                       18                                               52            
                                                                                              /    - -- - 2*3 /   --- + ---------  + --------------------------------------------------------------------- + ------------------------ 
                     ___________________________________________________________             /       3      \/     27       3                  ___________________________________________________________          _________________ 
                    /              _________________                                        /                                                 /              _________________                                     /           _____  
                   /              /           _____                                        /                                                 /              /           _____                                     /  242   2*\/ 235   
                  /     5        /  242   2*\/ 235                52                      /                                                 /     5        /  242   2*\/ 235                52               9*3 /   --- + ---------  
                 /    - - + 2*3 /   --- + ---------  - ------------------------          /                                                 /    - - + 2*3 /   --- + ---------  - ------------------------      \/     27       3      
                /       3     \/     27       3               _________________         /                                                 /       3     \/     27       3               _________________                             
               /                                             /           _____         /                                                 /                                             /           _____                              
              /                                             /  242   2*\/ 235         /                                                 /                                             /  242   2*\/ 235                               
             /                                         9*3 /   --- + ---------       /                                                 /                                         9*3 /   --- + ---------                              
       1   \/                                            \/     27       3         \/                                                \/                                            \/     27       3                                  
x2 = - - - --------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------
       2                                     2                                                                                                              2                                                                         
$$x_{2} = - \frac{\sqrt{- 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}} - \frac{10}{3} + \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} + \frac{18}{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}}}{2} - \frac{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}{2} - \frac{1}{2}$$
                                                                                                    __________________________________________________________________________________________________________________________________
                                                                                                   /             _________________                                                                                                    
                                                                                                  /             /           _____                                                                                                     
                                                                                                 /   10        /  242   2*\/ 235                                       18                                               52            
                                                                                   I*           /    -- + 2*3 /   --- + ---------  + --------------------------------------------------------------------- - ------------------------ 
                     ___________________________________________________________               /     3      \/     27       3                  ___________________________________________________________          _________________ 
                    /              _________________                                          /                                               /              _________________                                     /           _____  
                   /              /           _____                                          /                                               /              /           _____                                     /  242   2*\/ 235   
                  /     5        /  242   2*\/ 235                52                        /                                               /     5        /  242   2*\/ 235                52               9*3 /   --- + ---------  
                 /    - - + 2*3 /   --- + ---------  - ------------------------            /                                               /    - - + 2*3 /   --- + ---------  - ------------------------      \/     27       3      
                /       3     \/     27       3               _________________           /                                               /       3     \/     27       3               _________________                             
               /                                             /           _____           /                                               /                                             /           _____                              
              /                                             /  242   2*\/ 235           /                                               /                                             /  242   2*\/ 235                               
             /                                         9*3 /   --- + ---------         /                                               /                                         9*3 /   --- + ---------                              
       1   \/                                            \/     27       3           \/                                              \/                                            \/     27       3                                  
x3 = - - + --------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------
       2                                     2                                                                                                              2                                                                         
$$x_{3} = - \frac{1}{2} + \frac{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}{2} - \frac{i \sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} + \frac{10}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}} + \frac{18}{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}}}{2}$$
                                                                                                    __________________________________________________________________________________________________________________________________
                                                                                                   /             _________________                                                                                                    
                                                                                                  /             /           _____                                                                                                     
                                                                                                 /   10        /  242   2*\/ 235                                       18                                               52            
                                                                                   I*           /    -- + 2*3 /   --- + ---------  + --------------------------------------------------------------------- - ------------------------ 
                     ___________________________________________________________               /     3      \/     27       3                  ___________________________________________________________          _________________ 
                    /              _________________                                          /                                               /              _________________                                     /           _____  
                   /              /           _____                                          /                                               /              /           _____                                     /  242   2*\/ 235   
                  /     5        /  242   2*\/ 235                52                        /                                               /     5        /  242   2*\/ 235                52               9*3 /   --- + ---------  
                 /    - - + 2*3 /   --- + ---------  - ------------------------            /                                               /    - - + 2*3 /   --- + ---------  - ------------------------      \/     27       3      
                /       3     \/     27       3               _________________           /                                               /       3     \/     27       3               _________________                             
               /                                             /           _____           /                                               /                                             /           _____                              
              /                                             /  242   2*\/ 235           /                                               /                                             /  242   2*\/ 235                               
             /                                         9*3 /   --- + ---------         /                                               /                                         9*3 /   --- + ---------                              
       1   \/                                            \/     27       3           \/                                              \/                                            \/     27       3                                  
x4 = - - + --------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------
       2                                     2                                                                                                              2                                                                         
$$x_{4} = - \frac{1}{2} + \frac{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}{2} + \frac{i \sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} + \frac{10}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}} + \frac{18}{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}}}{2}$$
x4 = -1/2 + sqrt(-52/(9*(242/27 + 2*sqrt(235)/3)^(1/3)) - 5/3 + 2*(242/27 + 2*sqrt(235)/3)^(1/3))/2 + i*sqrt(-52/(9*(242/27 + 2*sqrt(235)/3)^(1/3)) + 10/3 + 2*(242/27 + 2*sqrt(235)/3)^(1/3) + 18/sqrt(-52/(9*(242/27 + 2*sqrt(235)/3)^(1/3)) - 5/3 + 2*(242/27 + 2*sqrt(235)/3)^(1/3)))/2
Suma y producto de raíces [src]
suma
                     ____________________________________________________________________________________________________________________________________                                                                                                                                                                        ____________________________________________________________________________________________________________________________________                                                                                                  __________________________________________________________________________________________________________________________________                                                                                                  __________________________________________________________________________________________________________________________________
                    /               _________________                                                                                                                                                                                                                                                                           /               _________________                                                                                                                                                                                                     /             _________________                                                                                                                                                                                                     /             _________________                                                                                                    
                   /               /           _____                                                                                                                                                                                                                                                                           /               /           _____                                                                                                                                                                                                     /             /           _____                                                                                                                                                                                                     /             /           _____                                                                                                     
                  /     10        /  242   2*\/ 235                                       18                                               52                                                                                                                                                                                 /     10        /  242   2*\/ 235                                       18                                               52                                                                                                           /   10        /  242   2*\/ 235                                       18                                               52                                                                                                           /   10        /  242   2*\/ 235                                       18                                               52            
                 /    - -- - 2*3 /   --- + ---------  + --------------------------------------------------------------------- + ------------------------                                                                                                                                                                     /    - -- - 2*3 /   --- + ---------  + --------------------------------------------------------------------- + ------------------------                                                                                  I*           /    -- + 2*3 /   --- + ---------  + --------------------------------------------------------------------- - ------------------------                                                                                  I*           /    -- + 2*3 /   --- + ---------  + --------------------------------------------------------------------- - ------------------------ 
                /       3      \/     27       3                  ___________________________________________________________          _________________              ___________________________________________________________                   ___________________________________________________________             /       3      \/     27       3                  ___________________________________________________________          _________________                    ___________________________________________________________               /     3      \/     27       3                  ___________________________________________________________          _________________                    ___________________________________________________________               /     3      \/     27       3                  ___________________________________________________________          _________________ 
               /                                                 /              _________________                                     /           _____              /              _________________                                              /              _________________                                        /                                                 /              _________________                                     /           _____                    /              _________________                                          /                                               /              _________________                                     /           _____                    /              _________________                                          /                                               /              _________________                                     /           _____  
              /                                                 /              /           _____                                     /  242   2*\/ 235              /              /           _____                                              /              /           _____                                        /                                                 /              /           _____                                     /  242   2*\/ 235                    /              /           _____                                          /                                               /              /           _____                                     /  242   2*\/ 235                    /              /           _____                                          /                                               /              /           _____                                     /  242   2*\/ 235   
             /                                                 /     5        /  242   2*\/ 235                52               9*3 /   --- + ---------            /     5        /  242   2*\/ 235                52                            /     5        /  242   2*\/ 235                52                      /                                                 /     5        /  242   2*\/ 235                52               9*3 /   --- + ---------                  /     5        /  242   2*\/ 235                52                        /                                               /     5        /  242   2*\/ 235                52               9*3 /   --- + ---------                  /     5        /  242   2*\/ 235                52                        /                                               /     5        /  242   2*\/ 235                52               9*3 /   --- + ---------  
            /                                                 /    - - + 2*3 /   --- + ---------  - ------------------------      \/     27       3               /    - - + 2*3 /   --- + ---------  - ------------------------                /    - - + 2*3 /   --- + ---------  - ------------------------          /                                                 /    - - + 2*3 /   --- + ---------  - ------------------------      \/     27       3                     /    - - + 2*3 /   --- + ---------  - ------------------------            /                                               /    - - + 2*3 /   --- + ---------  - ------------------------      \/     27       3                     /    - - + 2*3 /   --- + ---------  - ------------------------            /                                               /    - - + 2*3 /   --- + ---------  - ------------------------      \/     27       3      
           /                                                 /       3     \/     27       3               _________________                                     /       3     \/     27       3               _________________               /       3     \/     27       3               _________________         /                                                 /       3     \/     27       3               _________________                                           /       3     \/     27       3               _________________           /                                               /       3     \/     27       3               _________________                                           /       3     \/     27       3               _________________           /                                               /       3     \/     27       3               _________________                             
          /                                                 /                                             /           _____                                     /                                             /           _____               /                                             /           _____         /                                                 /                                             /           _____                                           /                                             /           _____           /                                               /                                             /           _____                                           /                                             /           _____           /                                               /                                             /           _____                              
         /                                                 /                                             /  242   2*\/ 235                                     /                                             /  242   2*\/ 235               /                                             /  242   2*\/ 235         /                                                 /                                             /  242   2*\/ 235                                           /                                             /  242   2*\/ 235           /                                               /                                             /  242   2*\/ 235                                           /                                             /  242   2*\/ 235           /                                               /                                             /  242   2*\/ 235                               
        /                                                 /                                         9*3 /   --- + ---------                                   /                                         9*3 /   --- + ---------             /                                         9*3 /   --- + ---------       /                                                 /                                         9*3 /   --- + ---------                                         /                                         9*3 /   --- + ---------         /                                               /                                         9*3 /   --- + ---------                                         /                                         9*3 /   --- + ---------         /                                               /                                         9*3 /   --- + ---------                              
  1   \/                                                \/                                            \/     27       3                                     \/                                            \/     27       3           1   \/                                            \/     27       3         \/                                                \/                                            \/     27       3                                       1   \/                                            \/     27       3           \/                                              \/                                            \/     27       3                                       1   \/                                            \/     27       3           \/                                              \/                                            \/     27       3                                  
- - + --------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------- + - - - --------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------- + - - + --------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------- + - - + --------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------
  2                                                                            2                                                                                                              2                                       2                                     2                                                                                                              2                                                                              2                                     2                                                                                                              2                                                                              2                                     2                                                                                                              2                                                                         
$$\left(\left(\left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}} - \frac{10}{3} + \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} + \frac{18}{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}}}{2} - \frac{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}{2} - \frac{1}{2}\right) + \left(- \frac{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}{2} - \frac{1}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}} - \frac{10}{3} + \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} + \frac{18}{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}}}{2}\right)\right) + \left(- \frac{1}{2} + \frac{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}{2} - \frac{i \sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} + \frac{10}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}} + \frac{18}{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}}}{2}\right)\right) + \left(- \frac{1}{2} + \frac{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}{2} + \frac{i \sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} + \frac{10}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}} + \frac{18}{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}}}{2}\right)$$
=
-2
$$-2$$
producto
/                     ____________________________________________________________________________________________________________________________________                                                                        \ /                                                                                             ____________________________________________________________________________________________________________________________________\ /                                                                                               __________________________________________________________________________________________________________________________________\ /                                                                                               __________________________________________________________________________________________________________________________________\
|                    /               _________________                                                                                                                                                                            | |                                                                                            /               _________________                                                                                                    | |                                                                                              /             _________________                                                                                                    | |                                                                                              /             _________________                                                                                                    |
|                   /               /           _____                                                                                                                                                                             | |                                                                                           /               /           _____                                                                                                     | |                                                                                             /             /           _____                                                                                                     | |                                                                                             /             /           _____                                                                                                     |
|                  /     10        /  242   2*\/ 235                                       18                                               52                                                                                    | |                                                                                          /     10        /  242   2*\/ 235                                       18                                               52            | |                                                                                            /   10        /  242   2*\/ 235                                       18                                               52            | |                                                                                            /   10        /  242   2*\/ 235                                       18                                               52            |
|                 /    - -- - 2*3 /   --- + ---------  + --------------------------------------------------------------------- + ------------------------                                                                         | |                                                                                         /    - -- - 2*3 /   --- + ---------  + --------------------------------------------------------------------- + ------------------------ | |                                                                              I*           /    -- + 2*3 /   --- + ---------  + --------------------------------------------------------------------- - ------------------------ | |                                                                              I*           /    -- + 2*3 /   --- + ---------  + --------------------------------------------------------------------- - ------------------------ |
|                /       3      \/     27       3                  ___________________________________________________________          _________________              ___________________________________________________________| |                ___________________________________________________________             /       3      \/     27       3                  ___________________________________________________________          _________________ | |                ___________________________________________________________               /     3      \/     27       3                  ___________________________________________________________          _________________ | |                ___________________________________________________________               /     3      \/     27       3                  ___________________________________________________________          _________________ |
|               /                                                 /              _________________                                     /           _____              /              _________________                            | |               /              _________________                                        /                                                 /              _________________                                     /           _____  | |               /              _________________                                          /                                               /              _________________                                     /           _____  | |               /              _________________                                          /                                               /              _________________                                     /           _____  |
|              /                                                 /              /           _____                                     /  242   2*\/ 235              /              /           _____                             | |              /              /           _____                                        /                                                 /              /           _____                                     /  242   2*\/ 235   | |              /              /           _____                                          /                                               /              /           _____                                     /  242   2*\/ 235   | |              /              /           _____                                          /                                               /              /           _____                                     /  242   2*\/ 235   |
|             /                                                 /     5        /  242   2*\/ 235                52               9*3 /   --- + ---------            /     5        /  242   2*\/ 235                52            | |             /     5        /  242   2*\/ 235                52                      /                                                 /     5        /  242   2*\/ 235                52               9*3 /   --- + ---------  | |             /     5        /  242   2*\/ 235                52                        /                                               /     5        /  242   2*\/ 235                52               9*3 /   --- + ---------  | |             /     5        /  242   2*\/ 235                52                        /                                               /     5        /  242   2*\/ 235                52               9*3 /   --- + ---------  |
|            /                                                 /    - - + 2*3 /   --- + ---------  - ------------------------      \/     27       3               /    - - + 2*3 /   --- + ---------  - ------------------------ | |            /    - - + 2*3 /   --- + ---------  - ------------------------          /                                                 /    - - + 2*3 /   --- + ---------  - ------------------------      \/     27       3      | |            /    - - + 2*3 /   --- + ---------  - ------------------------            /                                               /    - - + 2*3 /   --- + ---------  - ------------------------      \/     27       3      | |            /    - - + 2*3 /   --- + ---------  - ------------------------            /                                               /    - - + 2*3 /   --- + ---------  - ------------------------      \/     27       3      |
|           /                                                 /       3     \/     27       3               _________________                                     /       3     \/     27       3               _________________ | |           /       3     \/     27       3               _________________         /                                                 /       3     \/     27       3               _________________                             | |           /       3     \/     27       3               _________________           /                                               /       3     \/     27       3               _________________                             | |           /       3     \/     27       3               _________________           /                                               /       3     \/     27       3               _________________                             |
|          /                                                 /                                             /           _____                                     /                                             /           _____  | |          /                                             /           _____         /                                                 /                                             /           _____                              | |          /                                             /           _____           /                                               /                                             /           _____                              | |          /                                             /           _____           /                                               /                                             /           _____                              |
|         /                                                 /                                             /  242   2*\/ 235                                     /                                             /  242   2*\/ 235   | |         /                                             /  242   2*\/ 235         /                                                 /                                             /  242   2*\/ 235                               | |         /                                             /  242   2*\/ 235           /                                               /                                             /  242   2*\/ 235                               | |         /                                             /  242   2*\/ 235           /                                               /                                             /  242   2*\/ 235                               |
|        /                                                 /                                         9*3 /   --- + ---------                                   /                                         9*3 /   --- + ---------  | |        /                                         9*3 /   --- + ---------       /                                                 /                                         9*3 /   --- + ---------                              | |        /                                         9*3 /   --- + ---------         /                                               /                                         9*3 /   --- + ---------                              | |        /                                         9*3 /   --- + ---------         /                                               /                                         9*3 /   --- + ---------                              |
|  1   \/                                                \/                                            \/     27       3                                     \/                                            \/     27       3      | |  1   \/                                            \/     27       3         \/                                                \/                                            \/     27       3                                  | |  1   \/                                            \/     27       3           \/                                              \/                                            \/     27       3                                  | |  1   \/                                            \/     27       3           \/                                              \/                                            \/     27       3                                  |
|- - + --------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------|*|- - - --------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------|*|- - + --------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------|*|- - + --------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------|
\  2                                                                            2                                                                                                              2                                  / \  2                                     2                                                                                                              2                                                                         / \  2                                     2                                                                                                              2                                                                         / \  2                                     2                                                                                                              2                                                                         /
$$\left(- \frac{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}{2} - \frac{1}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}} - \frac{10}{3} + \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} + \frac{18}{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}} - \frac{10}{3} + \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} + \frac{18}{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}}}{2} - \frac{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}{2} - \frac{1}{2}\right) \left(- \frac{1}{2} + \frac{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}{2} - \frac{i \sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} + \frac{10}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}} + \frac{18}{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}}}{2}\right) \left(- \frac{1}{2} + \frac{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}{2} + \frac{i \sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} + \frac{10}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}} + \frac{18}{\sqrt{- \frac{52}{9 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}} - \frac{5}{3} + 2 \sqrt[3]{\frac{242}{27} + \frac{2 \sqrt{235}}{3}}}}}}{2}\right)$$
=
-4
$$-4$$
-4
Respuesta numérica [src]
x1 = 0.118230371180557 - 2.29600279361186*i
x2 = 0.118230371180557 + 2.29600279361186*i
x3 = 0.298530457108168
x4 = -2.53499119946928
x4 = -2.53499119946928