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4(x+2)(3-2x)=(x+3)^2(x-2)^2 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                             2        2
4*(x + 2)*(3 - 2*x) = (x + 3) *(x - 2) 
$$\left(3 - 2 x\right) 4 \left(x + 2\right) = \left(x - 2\right)^{2} \left(x + 3\right)^{2}$$
Gráfica
Respuesta rápida [src]
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                                                                                                 /             /  95   2*I*\/ 669                                       8                                                 67            
                                                                                   I*           /    -6 + 2*3 /   -- + -----------  + --------------------------------------------------------------------- + ------------------------- 
                     ___________________________________________________________               /            \/    8         9                   ___________________________________________________________          __________________ 
                    /            __________________                                           /                                                /            __________________                                      /            _____  
                   /            /            _____                                           /                                                /            /            _____                                      /  95   2*I*\/ 669   
                  /            /  95   2*I*\/ 669                 67                        /                                                /            /  95   2*I*\/ 669                 67               6*3 /   -- + -----------  
                 /    3 + 2*3 /   -- + -----------  + -------------------------            /                                                /    3 + 2*3 /   -- + -----------  + -------------------------      \/    8         9       
                /           \/    8         9                __________________           /                                                /           \/    8         9                __________________                              
               /                                            /            _____           /                                                /                                            /            _____                               
              /                                            /  95   2*I*\/ 669           /                                                /                                            /  95   2*I*\/ 669                                
             /                                        6*3 /   -- + -----------         /                                                /                                        6*3 /   -- + -----------                               
       1   \/                                           \/    8         9            \/                                               \/                                           \/    8         9                                    
x1 = - - - --------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------
       2                                     2                                                                                                               2                                                                          
$$x_{1} = - \frac{1}{2} - \frac{i \sqrt{-6 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + \frac{8}{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2} - \frac{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2}$$
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                                                                                                 /                                          8                                          /  95   2*I*\/ 669                 67            
                                                                                   I*           /    -6 - --------------------------------------------------------------------- + 2*3 /   -- + -----------  + ------------------------- 
                     ___________________________________________________________               /                    ___________________________________________________________     \/    8         9                __________________ 
                    /            __________________                                           /                    /            __________________                                                                  /            _____  
                   /            /            _____                                           /                    /            /            _____                                                                  /  95   2*I*\/ 669   
                  /            /  95   2*I*\/ 669                 67                        /                    /            /  95   2*I*\/ 669                 67                                           6*3 /   -- + -----------  
                 /    3 + 2*3 /   -- + -----------  + -------------------------            /                    /    3 + 2*3 /   -- + -----------  + -------------------------                                  \/    8         9       
                /           \/    8         9                __________________           /                    /           \/    8         9                __________________                                                          
               /                                            /            _____           /                    /                                            /            _____                                                           
              /                                            /  95   2*I*\/ 669           /                    /                                            /  95   2*I*\/ 669                                                            
             /                                        6*3 /   -- + -----------         /                    /                                        6*3 /   -- + -----------                                                           
       1   \/                                           \/    8         9            \/                   \/                                           \/    8         9                                                                
x2 = - - + --------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------
       2                                     2                                                                                                               2                                                                          
$$x_{2} = - \frac{1}{2} - \frac{i \sqrt{-6 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} - \frac{8}{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2} + \frac{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2}$$
                                                                                                    ____________________________________________________________________________________________________________________________________
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                                                                                                 /             /  95   2*I*\/ 669                                       8                                                 67            
                                                                                   I*           /    -6 + 2*3 /   -- + -----------  + --------------------------------------------------------------------- + ------------------------- 
                     ___________________________________________________________               /            \/    8         9                   ___________________________________________________________          __________________ 
                    /            __________________                                           /                                                /            __________________                                      /            _____  
                   /            /            _____                                           /                                                /            /            _____                                      /  95   2*I*\/ 669   
                  /            /  95   2*I*\/ 669                 67                        /                                                /            /  95   2*I*\/ 669                 67               6*3 /   -- + -----------  
                 /    3 + 2*3 /   -- + -----------  + -------------------------            /                                                /    3 + 2*3 /   -- + -----------  + -------------------------      \/    8         9       
                /           \/    8         9                __________________           /                                                /           \/    8         9                __________________                              
               /                                            /            _____           /                                                /                                            /            _____                               
              /                                            /  95   2*I*\/ 669           /                                                /                                            /  95   2*I*\/ 669                                
             /                                        6*3 /   -- + -----------         /                                                /                                        6*3 /   -- + -----------                               
       1   \/                                           \/    8         9            \/                                               \/                                           \/    8         9                                    
x3 = - - - --------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------
       2                                     2                                                                                                               2                                                                          
$$x_{3} = - \frac{1}{2} - \frac{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2} + \frac{i \sqrt{-6 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + \frac{8}{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2}$$
                                                                                                    ____________________________________________________________________________________________________________________________________
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                                                                                                  /                                                                                     /            _____                              
                                                                                                 /                                          8                                          /  95   2*I*\/ 669                 67            
                                                                                   I*           /    -6 - --------------------------------------------------------------------- + 2*3 /   -- + -----------  + ------------------------- 
                     ___________________________________________________________               /                    ___________________________________________________________     \/    8         9                __________________ 
                    /            __________________                                           /                    /            __________________                                                                  /            _____  
                   /            /            _____                                           /                    /            /            _____                                                                  /  95   2*I*\/ 669   
                  /            /  95   2*I*\/ 669                 67                        /                    /            /  95   2*I*\/ 669                 67                                           6*3 /   -- + -----------  
                 /    3 + 2*3 /   -- + -----------  + -------------------------            /                    /    3 + 2*3 /   -- + -----------  + -------------------------                                  \/    8         9       
                /           \/    8         9                __________________           /                    /           \/    8         9                __________________                                                          
               /                                            /            _____           /                    /                                            /            _____                                                           
              /                                            /  95   2*I*\/ 669           /                    /                                            /  95   2*I*\/ 669                                                            
             /                                        6*3 /   -- + -----------         /                    /                                        6*3 /   -- + -----------                                                           
       1   \/                                           \/    8         9            \/                   \/                                           \/    8         9                                                                
x4 = - - + --------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------
       2                                     2                                                                                                               2                                                                          
$$x_{4} = - \frac{1}{2} + \frac{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2} + \frac{i \sqrt{-6 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} - \frac{8}{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2}$$
x4 = -1/2 + sqrt(3 + 67/(6*(95/8 + 2*sqrt(669)*i/9)^(1/3)) + 2*(95/8 + 2*sqrt(669)*i/9)^(1/3))/2 + i*sqrt(-6 + 67/(6*(95/8 + 2*sqrt(669)*i/9)^(1/3)) - 8/sqrt(3 + 67/(6*(95/8 + 2*sqrt(669)*i/9)^(1/3)) + 2*(95/8 + 2*sqrt(669)*i/9)^(1/3)) + 2*(95/8 + 2*sqrt(669)*i/9)^(1/3))/2
Suma y producto de raíces [src]
suma
                                                                                               ____________________________________________________________________________________________________________________________________                                                                                                  ____________________________________________________________________________________________________________________________________                                                                                                  ____________________________________________________________________________________________________________________________________                                                                                                  ____________________________________________________________________________________________________________________________________
                                                                                              /             __________________                                                                                                                                                                                                      /                                                                                     __________________                                                                                                                              /             __________________                                                                                                                                                                                                      /                                                                                     __________________                             
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                                                                                            /             /  95   2*I*\/ 669                                       8                                                 67                                                                                                           /                                          8                                          /  95   2*I*\/ 669                 67                                                                                                           /             /  95   2*I*\/ 669                                       8                                                 67                                                                                                           /                                          8                                          /  95   2*I*\/ 669                 67            
                                                                              I*           /    -6 + 2*3 /   -- + -----------  + --------------------------------------------------------------------- + -------------------------                                                                                  I*           /    -6 - --------------------------------------------------------------------- + 2*3 /   -- + -----------  + -------------------------                                                                                  I*           /    -6 + 2*3 /   -- + -----------  + --------------------------------------------------------------------- + -------------------------                                                                                  I*           /    -6 - --------------------------------------------------------------------- + 2*3 /   -- + -----------  + ------------------------- 
                ___________________________________________________________               /            \/    8         9                   ___________________________________________________________          __________________                    ___________________________________________________________               /                    ___________________________________________________________     \/    8         9                __________________                    ___________________________________________________________               /            \/    8         9                   ___________________________________________________________          __________________                    ___________________________________________________________               /                    ___________________________________________________________     \/    8         9                __________________ 
               /            __________________                                           /                                                /            __________________                                      /            _____                    /            __________________                                           /                    /            __________________                                                                  /            _____                    /            __________________                                           /                                                /            __________________                                      /            _____                    /            __________________                                           /                    /            __________________                                                                  /            _____  
              /            /            _____                                           /                                                /            /            _____                                      /  95   2*I*\/ 669                    /            /            _____                                           /                    /            /            _____                                                                  /  95   2*I*\/ 669                    /            /            _____                                           /                                                /            /            _____                                      /  95   2*I*\/ 669                    /            /            _____                                           /                    /            /            _____                                                                  /  95   2*I*\/ 669   
             /            /  95   2*I*\/ 669                 67                        /                                                /            /  95   2*I*\/ 669                 67               6*3 /   -- + -----------                  /            /  95   2*I*\/ 669                 67                        /                    /            /  95   2*I*\/ 669                 67                                           6*3 /   -- + -----------                  /            /  95   2*I*\/ 669                 67                        /                                                /            /  95   2*I*\/ 669                 67               6*3 /   -- + -----------                  /            /  95   2*I*\/ 669                 67                        /                    /            /  95   2*I*\/ 669                 67                                           6*3 /   -- + -----------  
            /    3 + 2*3 /   -- + -----------  + -------------------------            /                                                /    3 + 2*3 /   -- + -----------  + -------------------------      \/    8         9                      /    3 + 2*3 /   -- + -----------  + -------------------------            /                    /    3 + 2*3 /   -- + -----------  + -------------------------                                  \/    8         9                      /    3 + 2*3 /   -- + -----------  + -------------------------            /                                                /    3 + 2*3 /   -- + -----------  + -------------------------      \/    8         9                      /    3 + 2*3 /   -- + -----------  + -------------------------            /                    /    3 + 2*3 /   -- + -----------  + -------------------------                                  \/    8         9       
           /           \/    8         9                __________________           /                                                /           \/    8         9                __________________                                            /           \/    8         9                __________________           /                    /           \/    8         9                __________________                                                                        /           \/    8         9                __________________           /                                                /           \/    8         9                __________________                                            /           \/    8         9                __________________           /                    /           \/    8         9                __________________                                                          
          /                                            /            _____           /                                                /                                            /            _____                                            /                                            /            _____           /                    /                                            /            _____                                                                        /                                            /            _____           /                                                /                                            /            _____                                            /                                            /            _____           /                    /                                            /            _____                                                           
         /                                            /  95   2*I*\/ 669           /                                                /                                            /  95   2*I*\/ 669                                            /                                            /  95   2*I*\/ 669           /                    /                                            /  95   2*I*\/ 669                                                                        /                                            /  95   2*I*\/ 669           /                                                /                                            /  95   2*I*\/ 669                                            /                                            /  95   2*I*\/ 669           /                    /                                            /  95   2*I*\/ 669                                                            
        /                                        6*3 /   -- + -----------         /                                                /                                        6*3 /   -- + -----------                                          /                                        6*3 /   -- + -----------         /                    /                                        6*3 /   -- + -----------                                                                      /                                        6*3 /   -- + -----------         /                                                /                                        6*3 /   -- + -----------                                          /                                        6*3 /   -- + -----------         /                    /                                        6*3 /   -- + -----------                                                           
  1   \/                                           \/    8         9            \/                                               \/                                           \/    8         9                                         1   \/                                           \/    8         9            \/                   \/                                           \/    8         9                                                                     1   \/                                           \/    8         9            \/                                               \/                                           \/    8         9                                         1   \/                                           \/    8         9            \/                   \/                                           \/    8         9                                                                
- - - --------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------- + - - + --------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------- + - - - --------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------- + - - + --------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------
  2                                     2                                                                                                               2                                                                               2                                     2                                                                                                               2                                                                               2                                     2                                                                                                               2                                                                               2                                     2                                                                                                               2                                                                          
$$\left(\left(\left(- \frac{1}{2} - \frac{i \sqrt{-6 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + \frac{8}{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2} - \frac{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2}\right) + \left(- \frac{1}{2} - \frac{i \sqrt{-6 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} - \frac{8}{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2} + \frac{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2}\right)\right) + \left(- \frac{1}{2} - \frac{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2} + \frac{i \sqrt{-6 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + \frac{8}{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2}\right)\right) + \left(- \frac{1}{2} + \frac{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2} + \frac{i \sqrt{-6 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} - \frac{8}{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2}\right)$$
=
-2
$$-2$$
producto
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|                                                                                              /             __________________                                                                                                     | |                                                                                              /                                                                                     __________________                             | |                                                                                              /             __________________                                                                                                     | |                                                                                              /                                                                                     __________________                             |
|                                                                                             /             /            _____                                                                                                      | |                                                                                             /                                                                                     /            _____                              | |                                                                                             /             /            _____                                                                                                      | |                                                                                             /                                                                                     /            _____                              |
|                                                                                            /             /  95   2*I*\/ 669                                       8                                                 67            | |                                                                                            /                                          8                                          /  95   2*I*\/ 669                 67            | |                                                                                            /             /  95   2*I*\/ 669                                       8                                                 67            | |                                                                                            /                                          8                                          /  95   2*I*\/ 669                 67            |
|                                                                              I*           /    -6 + 2*3 /   -- + -----------  + --------------------------------------------------------------------- + ------------------------- | |                                                                              I*           /    -6 - --------------------------------------------------------------------- + 2*3 /   -- + -----------  + ------------------------- | |                                                                              I*           /    -6 + 2*3 /   -- + -----------  + --------------------------------------------------------------------- + ------------------------- | |                                                                              I*           /    -6 - --------------------------------------------------------------------- + 2*3 /   -- + -----------  + ------------------------- |
|                ___________________________________________________________               /            \/    8         9                   ___________________________________________________________          __________________ | |                ___________________________________________________________               /                    ___________________________________________________________     \/    8         9                __________________ | |                ___________________________________________________________               /            \/    8         9                   ___________________________________________________________          __________________ | |                ___________________________________________________________               /                    ___________________________________________________________     \/    8         9                __________________ |
|               /            __________________                                           /                                                /            __________________                                      /            _____  | |               /            __________________                                           /                    /            __________________                                                                  /            _____  | |               /            __________________                                           /                                                /            __________________                                      /            _____  | |               /            __________________                                           /                    /            __________________                                                                  /            _____  |
|              /            /            _____                                           /                                                /            /            _____                                      /  95   2*I*\/ 669   | |              /            /            _____                                           /                    /            /            _____                                                                  /  95   2*I*\/ 669   | |              /            /            _____                                           /                                                /            /            _____                                      /  95   2*I*\/ 669   | |              /            /            _____                                           /                    /            /            _____                                                                  /  95   2*I*\/ 669   |
|             /            /  95   2*I*\/ 669                 67                        /                                                /            /  95   2*I*\/ 669                 67               6*3 /   -- + -----------  | |             /            /  95   2*I*\/ 669                 67                        /                    /            /  95   2*I*\/ 669                 67                                           6*3 /   -- + -----------  | |             /            /  95   2*I*\/ 669                 67                        /                                                /            /  95   2*I*\/ 669                 67               6*3 /   -- + -----------  | |             /            /  95   2*I*\/ 669                 67                        /                    /            /  95   2*I*\/ 669                 67                                           6*3 /   -- + -----------  |
|            /    3 + 2*3 /   -- + -----------  + -------------------------            /                                                /    3 + 2*3 /   -- + -----------  + -------------------------      \/    8         9       | |            /    3 + 2*3 /   -- + -----------  + -------------------------            /                    /    3 + 2*3 /   -- + -----------  + -------------------------                                  \/    8         9       | |            /    3 + 2*3 /   -- + -----------  + -------------------------            /                                                /    3 + 2*3 /   -- + -----------  + -------------------------      \/    8         9       | |            /    3 + 2*3 /   -- + -----------  + -------------------------            /                    /    3 + 2*3 /   -- + -----------  + -------------------------                                  \/    8         9       |
|           /           \/    8         9                __________________           /                                                /           \/    8         9                __________________                              | |           /           \/    8         9                __________________           /                    /           \/    8         9                __________________                                                          | |           /           \/    8         9                __________________           /                                                /           \/    8         9                __________________                              | |           /           \/    8         9                __________________           /                    /           \/    8         9                __________________                                                          |
|          /                                            /            _____           /                                                /                                            /            _____                               | |          /                                            /            _____           /                    /                                            /            _____                                                           | |          /                                            /            _____           /                                                /                                            /            _____                               | |          /                                            /            _____           /                    /                                            /            _____                                                           |
|         /                                            /  95   2*I*\/ 669           /                                                /                                            /  95   2*I*\/ 669                                | |         /                                            /  95   2*I*\/ 669           /                    /                                            /  95   2*I*\/ 669                                                            | |         /                                            /  95   2*I*\/ 669           /                                                /                                            /  95   2*I*\/ 669                                | |         /                                            /  95   2*I*\/ 669           /                    /                                            /  95   2*I*\/ 669                                                            |
|        /                                        6*3 /   -- + -----------         /                                                /                                        6*3 /   -- + -----------                               | |        /                                        6*3 /   -- + -----------         /                    /                                        6*3 /   -- + -----------                                                           | |        /                                        6*3 /   -- + -----------         /                                                /                                        6*3 /   -- + -----------                               | |        /                                        6*3 /   -- + -----------         /                    /                                        6*3 /   -- + -----------                                                           |
|  1   \/                                           \/    8         9            \/                                               \/                                           \/    8         9                                    | |  1   \/                                           \/    8         9            \/                   \/                                           \/    8         9                                                                | |  1   \/                                           \/    8         9            \/                                               \/                                           \/    8         9                                    | |  1   \/                                           \/    8         9            \/                   \/                                           \/    8         9                                                                |
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\  2                                     2                                                                                                               2                                                                          / \  2                                     2                                                                                                               2                                                                          / \  2                                     2                                                                                                               2                                                                          / \  2                                     2                                                                                                               2                                                                          /
$$\left(- \frac{1}{2} - \frac{i \sqrt{-6 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} - \frac{8}{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2} + \frac{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2}\right) \left(- \frac{1}{2} - \frac{i \sqrt{-6 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + \frac{8}{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2} - \frac{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2}\right) \left(- \frac{1}{2} - \frac{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2} + \frac{i \sqrt{-6 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + \frac{8}{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2}\right) \left(- \frac{1}{2} + \frac{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2} + \frac{i \sqrt{-6 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} - \frac{8}{\sqrt{3 + \frac{67}{6 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}} + 2 \sqrt[3]{\frac{95}{8} + \frac{2 \sqrt{669} i}{9}}}}{2}\right)$$
=
12
$$12$$
12
Respuesta numérica [src]
x1 = 1.25678182706951 + 0.516778232852078*i
x2 = -2.25678182706951 - 1.18553997566243*i
x3 = 1.25678182706951 - 0.516778232852078*i
x4 = -2.25678182706951 + 1.18553997566243*i
x4 = -2.25678182706951 + 1.18553997566243*i