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(x-3)/(x+2)+(x+8)/(x-1)=(15)/x+2*(x-1) la ecuación

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v

Solución numérica:

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Solución

Ha introducido [src]
x - 3   x + 8   15            
----- + ----- = -- + 2*(x - 1)
x + 2   x - 1   x             
$$\frac{x - 3}{x + 2} + \frac{x + 8}{x - 1} = 2 \left(x - 1\right) + \frac{15}{x}$$
Gráfica
Respuesta rápida [src]
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                     /     3        /  181   5*\/ 5258                                         5                                                   79                                                                                      
                    /    - - - 2*3 /   --- + ----------  + ------------------------------------------------------------------------- + -------------------------                                                                           
                   /       2     \/     64       32                    _____________________________________________________________          __________________              _____________________________________________________________
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                 /                                                   /              /           ______                                      /  181   5*\/ 5258              /              /           ______                              
                /                                                   /     3        /  181   5*\/ 5258                 79               8*3 /   --- + ----------            /     3        /  181   5*\/ 5258                 79            
               /                                           4*      /    - - + 2*3 /   --- + ----------  - -------------------------      \/     64       32               /    - - + 2*3 /   --- + ----------  - ------------------------- 
              /                                                   /       4     \/     64       32               __________________                                      /       4     \/     64       32               __________________ 
             /                                                   /                                              /           ______                                      /                                              /           ______  
            /                                                   /                                              /  181   5*\/ 5258                                      /                                              /  181   5*\/ 5258   
           /                                                   /                                          8*3 /   --- + ----------                                    /                                          8*3 /   --- + ----------  
     1   \/                                                  \/                                             \/     64       32                                      \/                                             \/     64       32      
x1 = - + -------------------------------------------------------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------
     4                                                                              2                                                                                                                  2                                   
$$x_{1} = - \frac{\sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}{2} + \frac{1}{4} + \frac{\sqrt{- 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}} - \frac{3}{2} + \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} + \frac{5}{4 \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}}}{2}$$
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                                                                                               /     3        /  181   5*\/ 5258                                         5                                                   79            
                                                                                              /    - - - 2*3 /   --- + ----------  + ------------------------------------------------------------------------- + ------------------------- 
                   _____________________________________________________________             /       2     \/     64       32                    _____________________________________________________________          __________________ 
                  /              __________________                                         /                                                   /              __________________                                      /           ______  
                 /              /           ______                                         /                                                   /              /           ______                                      /  181   5*\/ 5258   
                /     3        /  181   5*\/ 5258                 79                      /                                                   /     3        /  181   5*\/ 5258                 79               8*3 /   --- + ----------  
               /    - - + 2*3 /   --- + ----------  - -------------------------          /                                           4*      /    - - + 2*3 /   --- + ----------  - -------------------------      \/     64       32      
              /       4     \/     64       32               __________________         /                                                   /       4     \/     64       32               __________________                              
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            /                                              /  181   5*\/ 5258         /                                                   /                                              /  181   5*\/ 5258                                
           /                                          8*3 /   --- + ----------       /                                                   /                                          8*3 /   --- + ----------                               
     1   \/                                             \/     64       32         \/                                                  \/                                             \/     64       32                                   
x2 = - - ----------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------
     4                                      2                                                                                                                 2                                                                            
$$x_{2} = - \frac{\sqrt{- 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}} - \frac{3}{2} + \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} + \frac{5}{4 \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}}}{2} - \frac{\sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}{2} + \frac{1}{4}$$
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                                                                                                 /   3        /  181   5*\/ 5258                 79                                                  5                                     
                                                                                   I*           /    - + 2*3 /   --- + ----------  - ------------------------- + ------------------------------------------------------------------------- 
                   _____________________________________________________________               /     2     \/     64       32               __________________               _____________________________________________________________ 
                  /              __________________                                           /                                            /           ______               /              __________________                              
                 /              /           ______                                           /                                            /  181   5*\/ 5258               /              /           ______                               
                /     3        /  181   5*\/ 5258                 79                        /                                        8*3 /   --- + ----------             /     3        /  181   5*\/ 5258                 79             
               /    - - + 2*3 /   --- + ----------  - -------------------------            /                                           \/     64       32        4*      /    - - + 2*3 /   --- + ----------  - -------------------------  
              /       4     \/     64       32               __________________           /                                                                             /       4     \/     64       32               __________________  
             /                                              /           ______           /                                                                             /                                              /           ______   
            /                                              /  181   5*\/ 5258           /                                                                             /                                              /  181   5*\/ 5258    
           /                                          8*3 /   --- + ----------         /                                                                             /                                          8*3 /   --- + ----------   
     1   \/                                             \/     64       32           \/                                                                            \/                                             \/     64       32       
x3 = - + ----------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------
     4                                      2                                                                                                                 2                                                                            
$$x_{3} = \frac{\sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}{2} + \frac{1}{4} - \frac{i \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} + \frac{3}{2} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}} + \frac{5}{4 \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}}}{2}$$
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                                                                                                 /   3        /  181   5*\/ 5258                 79                                                  5                                     
                                                                                   I*           /    - + 2*3 /   --- + ----------  - ------------------------- + ------------------------------------------------------------------------- 
                   _____________________________________________________________               /     2     \/     64       32               __________________               _____________________________________________________________ 
                  /              __________________                                           /                                            /           ______               /              __________________                              
                 /              /           ______                                           /                                            /  181   5*\/ 5258               /              /           ______                               
                /     3        /  181   5*\/ 5258                 79                        /                                        8*3 /   --- + ----------             /     3        /  181   5*\/ 5258                 79             
               /    - - + 2*3 /   --- + ----------  - -------------------------            /                                           \/     64       32        4*      /    - - + 2*3 /   --- + ----------  - -------------------------  
              /       4     \/     64       32               __________________           /                                                                             /       4     \/     64       32               __________________  
             /                                              /           ______           /                                                                             /                                              /           ______   
            /                                              /  181   5*\/ 5258           /                                                                             /                                              /  181   5*\/ 5258    
           /                                          8*3 /   --- + ----------         /                                                                             /                                          8*3 /   --- + ----------   
     1   \/                                             \/     64       32           \/                                                                            \/                                             \/     64       32       
x4 = - + ----------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------
     4                                      2                                                                                                                 2                                                                            
$$x_{4} = \frac{\sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}{2} + \frac{1}{4} + \frac{i \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} + \frac{3}{2} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}} + \frac{5}{4 \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}}}{2}$$
x4 = sqrt(-79/(8*(181/64 + 5*sqrt(5258)/32)^(1/3)) - 3/4 + 2*(181/64 + 5*sqrt(5258)/32)^(1/3))/2 + 1/4 + i*sqrt(-79/(8*(181/64 + 5*sqrt(5258)/32)^(1/3)) + 3/2 + 2*(181/64 + 5*sqrt(5258)/32)^(1/3) + 5/(4*sqrt(-79/(8*(181/64 + 5*sqrt(5258)/32)^(1/3)) - 3/4 + 2*(181/64 + 5*sqrt(5258)/32)^(1/3))))/2
Suma y producto de raíces [src]
suma
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                  /              __________________                                                                                                                                                                                                                                                                                  /              __________________                                                                                                                                                                                                          /            __________________                                                                                                                                                                                                          /            __________________                                                                                                         
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                /     3        /  181   5*\/ 5258                                         5                                                   79                                                                                                                                                                                   /     3        /  181   5*\/ 5258                                         5                                                   79                                                                                                           /   3        /  181   5*\/ 5258                 79                                                  5                                                                                                                                    /   3        /  181   5*\/ 5258                 79                                                  5                                     
               /    - - - 2*3 /   --- + ----------  + ------------------------------------------------------------------------- + -------------------------                                                                                                                                                                       /    - - - 2*3 /   --- + ----------  + ------------------------------------------------------------------------- + -------------------------                                                                                  I*           /    - + 2*3 /   --- + ----------  - ------------------------- + -------------------------------------------------------------------------                                                                                  I*           /    - + 2*3 /   --- + ----------  - ------------------------- + ------------------------------------------------------------------------- 
              /       2     \/     64       32                    _____________________________________________________________          __________________              _____________________________________________________________                 _____________________________________________________________             /       2     \/     64       32                    _____________________________________________________________          __________________                  _____________________________________________________________               /     2     \/     64       32               __________________               _____________________________________________________________                  _____________________________________________________________               /     2     \/     64       32               __________________               _____________________________________________________________ 
             /                                                   /              __________________                                      /           ______              /              __________________                                             /              __________________                                         /                                                   /              __________________                                      /           ______                  /              __________________                                           /                                            /           ______               /              __________________                                              /              __________________                                           /                                            /           ______               /              __________________                              
            /                                                   /              /           ______                                      /  181   5*\/ 5258              /              /           ______                                             /              /           ______                                         /                                                   /              /           ______                                      /  181   5*\/ 5258                  /              /           ______                                           /                                            /  181   5*\/ 5258               /              /           ______                                              /              /           ______                                           /                                            /  181   5*\/ 5258               /              /           ______                               
           /                                                   /     3        /  181   5*\/ 5258                 79               8*3 /   --- + ----------            /     3        /  181   5*\/ 5258                 79                          /     3        /  181   5*\/ 5258                 79                      /                                                   /     3        /  181   5*\/ 5258                 79               8*3 /   --- + ----------                /     3        /  181   5*\/ 5258                 79                        /                                        8*3 /   --- + ----------             /     3        /  181   5*\/ 5258                 79                           /     3        /  181   5*\/ 5258                 79                        /                                        8*3 /   --- + ----------             /     3        /  181   5*\/ 5258                 79             
          /                                           4*      /    - - + 2*3 /   --- + ----------  - -------------------------      \/     64       32               /    - - + 2*3 /   --- + ----------  - -------------------------              /    - - + 2*3 /   --- + ----------  - -------------------------          /                                           4*      /    - - + 2*3 /   --- + ----------  - -------------------------      \/     64       32                   /    - - + 2*3 /   --- + ----------  - -------------------------            /                                           \/     64       32        4*      /    - - + 2*3 /   --- + ----------  - -------------------------               /    - - + 2*3 /   --- + ----------  - -------------------------            /                                           \/     64       32        4*      /    - - + 2*3 /   --- + ----------  - -------------------------  
         /                                                   /       4     \/     64       32               __________________                                      /       4     \/     64       32               __________________             /       4     \/     64       32               __________________         /                                                   /       4     \/     64       32               __________________                                          /       4     \/     64       32               __________________           /                                                                             /       4     \/     64       32               __________________              /       4     \/     64       32               __________________           /                                                                             /       4     \/     64       32               __________________  
        /                                                   /                                              /           ______                                      /                                              /           ______             /                                              /           ______         /                                                   /                                              /           ______                                          /                                              /           ______           /                                                                             /                                              /           ______              /                                              /           ______           /                                                                             /                                              /           ______   
       /                                                   /                                              /  181   5*\/ 5258                                      /                                              /  181   5*\/ 5258             /                                              /  181   5*\/ 5258         /                                                   /                                              /  181   5*\/ 5258                                          /                                              /  181   5*\/ 5258           /                                                                             /                                              /  181   5*\/ 5258              /                                              /  181   5*\/ 5258           /                                                                             /                                              /  181   5*\/ 5258    
      /                                                   /                                          8*3 /   --- + ----------                                    /                                          8*3 /   --- + ----------           /                                          8*3 /   --- + ----------       /                                                   /                                          8*3 /   --- + ----------                                        /                                          8*3 /   --- + ----------         /                                                                             /                                          8*3 /   --- + ----------            /                                          8*3 /   --- + ----------         /                                                                             /                                          8*3 /   --- + ----------   
1   \/                                                  \/                                             \/     64       32                                      \/                                             \/     64       32         1   \/                                             \/     64       32         \/                                                  \/                                             \/     64       32                                      1   \/                                             \/     64       32           \/                                                                            \/                                             \/     64       32          1   \/                                             \/     64       32           \/                                                                            \/                                             \/     64       32       
- + -------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------- + - - ----------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ----------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ----------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------
4                                                                              2                                                                                                                  2                                      4                                      2                                                                                                                 2                                                                               4                                      2                                                                                                                 2                                                                               4                                      2                                                                                                                 2                                                                            
$$\left(\left(\left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}} - \frac{3}{2} + \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} + \frac{5}{4 \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}}}{2} - \frac{\sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}{2} + \frac{1}{4}\right) + \left(- \frac{\sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}{2} + \frac{1}{4} + \frac{\sqrt{- 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}} - \frac{3}{2} + \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} + \frac{5}{4 \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}}}{2}\right)\right) + \left(\frac{\sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}{2} + \frac{1}{4} - \frac{i \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} + \frac{3}{2} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}} + \frac{5}{4 \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}}}{2}\right)\right) + \left(\frac{\sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}{2} + \frac{1}{4} + \frac{i \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} + \frac{3}{2} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}} + \frac{5}{4 \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}}}{2}\right)$$
=
1
$$1$$
producto
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|                  /              __________________                                                                                                                                                                                   | |                                                                                            /              __________________                                                                                                         | |                                                                                              /            __________________                                                                                                         | |                                                                                              /            __________________                                                                                                         |
|                 /              /           ______                                                                                                                                                                                    | |                                                                                           /              /           ______                                                                                                          | |                                                                                             /            /           ______                                                                                                          | |                                                                                             /            /           ______                                                                                                          |
|                /     3        /  181   5*\/ 5258                                         5                                                   79                                                                                      | |                                                                                          /     3        /  181   5*\/ 5258                                         5                                                   79            | |                                                                                            /   3        /  181   5*\/ 5258                 79                                                  5                                     | |                                                                                            /   3        /  181   5*\/ 5258                 79                                                  5                                     |
|               /    - - - 2*3 /   --- + ----------  + ------------------------------------------------------------------------- + -------------------------                                                                           | |                                                                                         /    - - - 2*3 /   --- + ----------  + ------------------------------------------------------------------------- + ------------------------- | |                                                                              I*           /    - + 2*3 /   --- + ----------  - ------------------------- + ------------------------------------------------------------------------- | |                                                                              I*           /    - + 2*3 /   --- + ----------  - ------------------------- + ------------------------------------------------------------------------- |
|              /       2     \/     64       32                    _____________________________________________________________          __________________              _____________________________________________________________| |              _____________________________________________________________             /       2     \/     64       32                    _____________________________________________________________          __________________ | |              _____________________________________________________________               /     2     \/     64       32               __________________               _____________________________________________________________ | |              _____________________________________________________________               /     2     \/     64       32               __________________               _____________________________________________________________ |
|             /                                                   /              __________________                                      /           ______              /              __________________                             | |             /              __________________                                         /                                                   /              __________________                                      /           ______  | |             /              __________________                                           /                                            /           ______               /              __________________                              | |             /              __________________                                           /                                            /           ______               /              __________________                              |
|            /                                                   /              /           ______                                      /  181   5*\/ 5258              /              /           ______                              | |            /              /           ______                                         /                                                   /              /           ______                                      /  181   5*\/ 5258   | |            /              /           ______                                           /                                            /  181   5*\/ 5258               /              /           ______                               | |            /              /           ______                                           /                                            /  181   5*\/ 5258               /              /           ______                               |
|           /                                                   /     3        /  181   5*\/ 5258                 79               8*3 /   --- + ----------            /     3        /  181   5*\/ 5258                 79            | |           /     3        /  181   5*\/ 5258                 79                      /                                                   /     3        /  181   5*\/ 5258                 79               8*3 /   --- + ----------  | |           /     3        /  181   5*\/ 5258                 79                        /                                        8*3 /   --- + ----------             /     3        /  181   5*\/ 5258                 79             | |           /     3        /  181   5*\/ 5258                 79                        /                                        8*3 /   --- + ----------             /     3        /  181   5*\/ 5258                 79             |
|          /                                           4*      /    - - + 2*3 /   --- + ----------  - -------------------------      \/     64       32               /    - - + 2*3 /   --- + ----------  - ------------------------- | |          /    - - + 2*3 /   --- + ----------  - -------------------------          /                                           4*      /    - - + 2*3 /   --- + ----------  - -------------------------      \/     64       32      | |          /    - - + 2*3 /   --- + ----------  - -------------------------            /                                           \/     64       32        4*      /    - - + 2*3 /   --- + ----------  - -------------------------  | |          /    - - + 2*3 /   --- + ----------  - -------------------------            /                                           \/     64       32        4*      /    - - + 2*3 /   --- + ----------  - -------------------------  |
|         /                                                   /       4     \/     64       32               __________________                                      /       4     \/     64       32               __________________ | |         /       4     \/     64       32               __________________         /                                                   /       4     \/     64       32               __________________                              | |         /       4     \/     64       32               __________________           /                                                                             /       4     \/     64       32               __________________  | |         /       4     \/     64       32               __________________           /                                                                             /       4     \/     64       32               __________________  |
|        /                                                   /                                              /           ______                                      /                                              /           ______  | |        /                                              /           ______         /                                                   /                                              /           ______                               | |        /                                              /           ______           /                                                                             /                                              /           ______   | |        /                                              /           ______           /                                                                             /                                              /           ______   |
|       /                                                   /                                              /  181   5*\/ 5258                                      /                                              /  181   5*\/ 5258   | |       /                                              /  181   5*\/ 5258         /                                                   /                                              /  181   5*\/ 5258                                | |       /                                              /  181   5*\/ 5258           /                                                                             /                                              /  181   5*\/ 5258    | |       /                                              /  181   5*\/ 5258           /                                                                             /                                              /  181   5*\/ 5258    |
|      /                                                   /                                          8*3 /   --- + ----------                                    /                                          8*3 /   --- + ----------  | |      /                                          8*3 /   --- + ----------       /                                                   /                                          8*3 /   --- + ----------                               | |      /                                          8*3 /   --- + ----------         /                                                                             /                                          8*3 /   --- + ----------   | |      /                                          8*3 /   --- + ----------         /                                                                             /                                          8*3 /   --- + ----------   |
|1   \/                                                  \/                                             \/     64       32                                      \/                                             \/     64       32      | |1   \/                                             \/     64       32         \/                                                  \/                                             \/     64       32                                   | |1   \/                                             \/     64       32           \/                                                                            \/                                             \/     64       32       | |1   \/                                             \/     64       32           \/                                                                            \/                                             \/     64       32       |
|- + -------------------------------------------------------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------|*|- - ----------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ----------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ----------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------|
\4                                                                              2                                                                                                                  2                                   / \4                                      2                                                                                                                 2                                                                            / \4                                      2                                                                                                                 2                                                                            / \4                                      2                                                                                                                 2                                                                            /
$$\left(- \frac{\sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}{2} + \frac{1}{4} + \frac{\sqrt{- 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}} - \frac{3}{2} + \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} + \frac{5}{4 \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}} - \frac{3}{2} + \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} + \frac{5}{4 \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}}}{2} - \frac{\sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}{2} + \frac{1}{4}\right) \left(\frac{\sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}{2} + \frac{1}{4} - \frac{i \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} + \frac{3}{2} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}} + \frac{5}{4 \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}}}{2}\right) \left(\frac{\sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}{2} + \frac{1}{4} + \frac{i \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} + \frac{3}{2} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}} + \frac{5}{4 \sqrt{- \frac{79}{8 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}} - \frac{3}{4} + 2 \sqrt[3]{\frac{181}{64} + \frac{5 \sqrt{5258}}{32}}}}}}{2}\right)$$
=
-15
$$-15$$
-15
Respuesta numérica [src]
x1 = 2.03739840033264
x2 = 0.290027289410302 - 2.11369085235461*i
x3 = 0.290027289410302 + 2.11369085235461*i
x4 = -1.61745297915324
x4 = -1.61745297915324