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1*x^4-1*x^2-23*x-48=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
 4    2                
x  - x  - 23*x - 48 = 0
$$\left(- 23 x + \left(x^{4} - x^{2}\right)\right) - 48 = 0$$
Respuesta rápida [src]
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                                                                                                    /   4        /  10825   25*\/ 156021                                            46                                                        575               
                                                                                                   /    - - 2*3 /   ----- + -------------  + -------------------------------------------------------------------------------- + ------------------------------- 
               ______________________________________________________________________             /     3     \/     432         144                   ______________________________________________________________________           _______________________ 
              /            _______________________                                               /                                                    /            _______________________                                             /              ________  
             /            /              ________                                               /                                                    /            /              ________                                             /  10825   25*\/ 156021   
            /   2        /  10825   25*\/ 156021                   575                         /                                                    /   2        /  10825   25*\/ 156021                   575                  18*3 /   ----- + -------------  
           /    - + 2*3 /   ----- + -------------  - -------------------------------          /                                                    /    - + 2*3 /   ----- + -------------  - -------------------------------       \/     432         144       
          /     3     \/     432         144                 _______________________         /                                                    /     3     \/     432         144                 _______________________                                    
         /                                                  /              ________         /                                                    /                                                  /              ________                                     
        /                                                  /  10825   25*\/ 156021         /                                                    /                                                  /  10825   25*\/ 156021                                      
       /                                             18*3 /   ----- + -------------       /                                                    /                                             18*3 /   ----- + -------------                                     
     \/                                                 \/     432         144          \/                                                   \/                                                 \/     432         144                                          
x1 = -------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                            2                                                                                                                              2                                                                                    
$$x_{1} = \frac{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}} + \frac{4}{3} + \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{46}{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}}}{2}$$
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                                                                                                    /   4        /  10825   25*\/ 156021                                            46                                                        575               
                                                                                                   /    - - 2*3 /   ----- + -------------  + -------------------------------------------------------------------------------- + ------------------------------- 
               ______________________________________________________________________             /     3     \/     432         144                   ______________________________________________________________________           _______________________ 
              /            _______________________                                               /                                                    /            _______________________                                             /              ________  
             /            /              ________                                               /                                                    /            /              ________                                             /  10825   25*\/ 156021   
            /   2        /  10825   25*\/ 156021                   575                         /                                                    /   2        /  10825   25*\/ 156021                   575                  18*3 /   ----- + -------------  
           /    - + 2*3 /   ----- + -------------  - -------------------------------          /                                                    /    - + 2*3 /   ----- + -------------  - -------------------------------       \/     432         144       
          /     3     \/     432         144                 _______________________         /                                                    /     3     \/     432         144                 _______________________                                    
         /                                                  /              ________         /                                                    /                                                  /              ________                                     
        /                                                  /  10825   25*\/ 156021         /                                                    /                                                  /  10825   25*\/ 156021                                      
       /                                             18*3 /   ----- + -------------       /                                                    /                                             18*3 /   ----- + -------------                                     
     \/                                                 \/     432         144          \/                                                   \/                                                 \/     432         144                                          
x2 = -------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                            2                                                                                                                              2                                                                                    
$$x_{2} = - \frac{\sqrt{- 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}} + \frac{4}{3} + \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{46}{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}}}{2} + \frac{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}{2}$$
                                                                                                           ___________________________________________________________________________________________________________________________________________________________
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                                                                                                        /     4        /  10825   25*\/ 156021                                            46                                                        575               
                                                                                          I*           /    - - + 2*3 /   ----- + -------------  + -------------------------------------------------------------------------------- - ------------------------------- 
                 ______________________________________________________________________               /       3     \/     432         144                   ______________________________________________________________________           _______________________ 
                /            _______________________                                                 /                                                      /            _______________________                                             /              ________  
               /            /              ________                                                 /                                                      /            /              ________                                             /  10825   25*\/ 156021   
              /   2        /  10825   25*\/ 156021                   575                           /                                                      /   2        /  10825   25*\/ 156021                   575                  18*3 /   ----- + -------------  
             /    - + 2*3 /   ----- + -------------  - -------------------------------            /                                                      /    - + 2*3 /   ----- + -------------  - -------------------------------       \/     432         144       
            /     3     \/     432         144                 _______________________           /                                                      /     3     \/     432         144                 _______________________                                    
           /                                                  /              ________           /                                                      /                                                  /              ________                                     
          /                                                  /  10825   25*\/ 156021           /                                                      /                                                  /  10825   25*\/ 156021                                      
         /                                             18*3 /   ----- + -------------         /                                                      /                                             18*3 /   ----- + -------------                                     
       \/                                                 \/     432         144            \/                                                     \/                                                 \/     432         144                                          
x3 = - -------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                              2                                                                                                                                2                                                                                      
$$x_{3} = - \frac{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}{2} - \frac{i \sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} - \frac{4}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}} + \frac{46}{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}}}{2}$$
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                                                                                                        /     4        /  10825   25*\/ 156021                                            46                                                        575               
                                                                                          I*           /    - - + 2*3 /   ----- + -------------  + -------------------------------------------------------------------------------- - ------------------------------- 
                 ______________________________________________________________________               /       3     \/     432         144                   ______________________________________________________________________           _______________________ 
                /            _______________________                                                 /                                                      /            _______________________                                             /              ________  
               /            /              ________                                                 /                                                      /            /              ________                                             /  10825   25*\/ 156021   
              /   2        /  10825   25*\/ 156021                   575                           /                                                      /   2        /  10825   25*\/ 156021                   575                  18*3 /   ----- + -------------  
             /    - + 2*3 /   ----- + -------------  - -------------------------------            /                                                      /    - + 2*3 /   ----- + -------------  - -------------------------------       \/     432         144       
            /     3     \/     432         144                 _______________________           /                                                      /     3     \/     432         144                 _______________________                                    
           /                                                  /              ________           /                                                      /                                                  /              ________                                     
          /                                                  /  10825   25*\/ 156021           /                                                      /                                                  /  10825   25*\/ 156021                                      
         /                                             18*3 /   ----- + -------------         /                                                      /                                             18*3 /   ----- + -------------                                     
       \/                                                 \/     432         144            \/                                                     \/                                                 \/     432         144                                          
x4 = - -------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                              2                                                                                                                                2                                                                                      
$$x_{4} = - \frac{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}{2} + \frac{i \sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} - \frac{4}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}} + \frac{46}{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}}}{2}$$
x4 = -sqrt(-575/(18*(10825/432 + 25*sqrt(156021)/144)^(1/3)) + 2/3 + 2*(10825/432 + 25*sqrt(156021)/144)^(1/3))/2 + i*sqrt(-575/(18*(10825/432 + 25*sqrt(156021)/144)^(1/3)) - 4/3 + 2*(10825/432 + 25*sqrt(156021)/144)^(1/3) + 46/sqrt(-575/(18*(10825/432 + 25*sqrt(156021)/144)^(1/3)) + 2/3 + 2*(10825/432 + 25*sqrt(156021)/144)^(1/3)))/2
Suma y producto de raíces [src]
suma
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                                                                                               /   4        /  10825   25*\/ 156021                                            46                                                        575                                                                                                                 /   4        /  10825   25*\/ 156021                                            46                                                        575                                                                                                                     /     4        /  10825   25*\/ 156021                                            46                                                        575                                                                                                                     /     4        /  10825   25*\/ 156021                                            46                                                        575               
                                                                                              /    - - 2*3 /   ----- + -------------  + -------------------------------------------------------------------------------- + -------------------------------                                                                                                  /    - - 2*3 /   ----- + -------------  + -------------------------------------------------------------------------------- + -------------------------------                                                                                         I*           /    - - + 2*3 /   ----- + -------------  + -------------------------------------------------------------------------------- - -------------------------------                                                                                         I*           /    - - + 2*3 /   ----- + -------------  + -------------------------------------------------------------------------------- - ------------------------------- 
          ______________________________________________________________________             /     3     \/     432         144                   ______________________________________________________________________           _______________________              ______________________________________________________________________             /     3     \/     432         144                   ______________________________________________________________________           _______________________                ______________________________________________________________________               /       3     \/     432         144                   ______________________________________________________________________           _______________________                ______________________________________________________________________               /       3     \/     432         144                   ______________________________________________________________________           _______________________ 
         /            _______________________                                               /                                                    /            _______________________                                             /              ________              /            _______________________                                               /                                                    /            _______________________                                             /              ________                /            _______________________                                                 /                                                      /            _______________________                                             /              ________                /            _______________________                                                 /                                                      /            _______________________                                             /              ________  
        /            /              ________                                               /                                                    /            /              ________                                             /  10825   25*\/ 156021              /            /              ________                                               /                                                    /            /              ________                                             /  10825   25*\/ 156021                /            /              ________                                                 /                                                      /            /              ________                                             /  10825   25*\/ 156021                /            /              ________                                                 /                                                      /            /              ________                                             /  10825   25*\/ 156021   
       /   2        /  10825   25*\/ 156021                   575                         /                                                    /   2        /  10825   25*\/ 156021                   575                  18*3 /   ----- + -------------            /   2        /  10825   25*\/ 156021                   575                         /                                                    /   2        /  10825   25*\/ 156021                   575                  18*3 /   ----- + -------------              /   2        /  10825   25*\/ 156021                   575                           /                                                      /   2        /  10825   25*\/ 156021                   575                  18*3 /   ----- + -------------              /   2        /  10825   25*\/ 156021                   575                           /                                                      /   2        /  10825   25*\/ 156021                   575                  18*3 /   ----- + -------------  
      /    - + 2*3 /   ----- + -------------  - -------------------------------          /                                                    /    - + 2*3 /   ----- + -------------  - -------------------------------       \/     432         144                /    - + 2*3 /   ----- + -------------  - -------------------------------          /                                                    /    - + 2*3 /   ----- + -------------  - -------------------------------       \/     432         144                  /    - + 2*3 /   ----- + -------------  - -------------------------------            /                                                      /    - + 2*3 /   ----- + -------------  - -------------------------------       \/     432         144                  /    - + 2*3 /   ----- + -------------  - -------------------------------            /                                                      /    - + 2*3 /   ----- + -------------  - -------------------------------       \/     432         144       
     /     3     \/     432         144                 _______________________         /                                                    /     3     \/     432         144                 _______________________                                            /     3     \/     432         144                 _______________________         /                                                    /     3     \/     432         144                 _______________________                                              /     3     \/     432         144                 _______________________           /                                                      /     3     \/     432         144                 _______________________                                              /     3     \/     432         144                 _______________________           /                                                      /     3     \/     432         144                 _______________________                                    
    /                                                  /              ________         /                                                    /                                                  /              ________                                            /                                                  /              ________         /                                                    /                                                  /              ________                                              /                                                  /              ________           /                                                      /                                                  /              ________                                              /                                                  /              ________           /                                                      /                                                  /              ________                                     
   /                                                  /  10825   25*\/ 156021         /                                                    /                                                  /  10825   25*\/ 156021                                            /                                                  /  10825   25*\/ 156021         /                                                    /                                                  /  10825   25*\/ 156021                                              /                                                  /  10825   25*\/ 156021           /                                                      /                                                  /  10825   25*\/ 156021                                              /                                                  /  10825   25*\/ 156021           /                                                      /                                                  /  10825   25*\/ 156021                                      
  /                                             18*3 /   ----- + -------------       /                                                    /                                             18*3 /   ----- + -------------                                          /                                             18*3 /   ----- + -------------       /                                                    /                                             18*3 /   ----- + -------------                                            /                                             18*3 /   ----- + -------------         /                                                      /                                             18*3 /   ----- + -------------                                            /                                             18*3 /   ----- + -------------         /                                                      /                                             18*3 /   ----- + -------------                                     
\/                                                 \/     432         144          \/                                                   \/                                                 \/     432         144                                             \/                                                 \/     432         144          \/                                                   \/                                                 \/     432         144                                               \/                                                 \/     432         144            \/                                                     \/                                                 \/     432         144                                               \/                                                 \/     432         144            \/                                                     \/                                                 \/     432         144                                          
-------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + -------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + - -------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - -------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                       2                                                                                                                              2                                                                                                                              2                                                                                                                              2                                                                                                                                2                                                                                                                                2                                                                                                                                  2                                                                                                                                2                                                                                      
$$\left(\left(\left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}} + \frac{4}{3} + \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{46}{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}}}{2} + \frac{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}{2}\right) + \left(\frac{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}} + \frac{4}{3} + \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{46}{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}}}{2}\right)\right) + \left(- \frac{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}{2} - \frac{i \sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} - \frac{4}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}} + \frac{46}{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}}}{2}\right)\right) + \left(- \frac{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}{2} + \frac{i \sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} - \frac{4}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}} + \frac{46}{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}}}{2}\right)$$
=
0
$$0$$
producto
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|                                                                                                 /            _______________________                                                                                                                      | |                                                                                                 /            _______________________                                                                                                                      | |                                                                                                     /              _______________________                                                                                                                      | |                                                                                                     /              _______________________                                                                                                                      |
|                                                                                                /            /              ________                                                                                                                       | |                                                                                                /            /              ________                                                                                                                       | |                                                                                                    /              /              ________                                                                                                                       | |                                                                                                    /              /              ________                                                                                                                       |
|                                                                                               /   4        /  10825   25*\/ 156021                                            46                                                        575               | |                                                                                               /   4        /  10825   25*\/ 156021                                            46                                                        575               | |                                                                                                   /     4        /  10825   25*\/ 156021                                            46                                                        575               | |                                                                                                   /     4        /  10825   25*\/ 156021                                            46                                                        575               |
|                                                                                              /    - - 2*3 /   ----- + -------------  + -------------------------------------------------------------------------------- + ------------------------------- | |                                                                                              /    - - 2*3 /   ----- + -------------  + -------------------------------------------------------------------------------- + ------------------------------- | |                                                                                     I*           /    - - + 2*3 /   ----- + -------------  + -------------------------------------------------------------------------------- - ------------------------------- | |                                                                                     I*           /    - - + 2*3 /   ----- + -------------  + -------------------------------------------------------------------------------- - ------------------------------- |
|          ______________________________________________________________________             /     3     \/     432         144                   ______________________________________________________________________           _______________________ | |          ______________________________________________________________________             /     3     \/     432         144                   ______________________________________________________________________           _______________________ | |            ______________________________________________________________________               /       3     \/     432         144                   ______________________________________________________________________           _______________________ | |            ______________________________________________________________________               /       3     \/     432         144                   ______________________________________________________________________           _______________________ |
|         /            _______________________                                               /                                                    /            _______________________                                             /              ________  | |         /            _______________________                                               /                                                    /            _______________________                                             /              ________  | |           /            _______________________                                                 /                                                      /            _______________________                                             /              ________  | |           /            _______________________                                                 /                                                      /            _______________________                                             /              ________  |
|        /            /              ________                                               /                                                    /            /              ________                                             /  10825   25*\/ 156021   | |        /            /              ________                                               /                                                    /            /              ________                                             /  10825   25*\/ 156021   | |          /            /              ________                                                 /                                                      /            /              ________                                             /  10825   25*\/ 156021   | |          /            /              ________                                                 /                                                      /            /              ________                                             /  10825   25*\/ 156021   |
|       /   2        /  10825   25*\/ 156021                   575                         /                                                    /   2        /  10825   25*\/ 156021                   575                  18*3 /   ----- + -------------  | |       /   2        /  10825   25*\/ 156021                   575                         /                                                    /   2        /  10825   25*\/ 156021                   575                  18*3 /   ----- + -------------  | |         /   2        /  10825   25*\/ 156021                   575                           /                                                      /   2        /  10825   25*\/ 156021                   575                  18*3 /   ----- + -------------  | |         /   2        /  10825   25*\/ 156021                   575                           /                                                      /   2        /  10825   25*\/ 156021                   575                  18*3 /   ----- + -------------  |
|      /    - + 2*3 /   ----- + -------------  - -------------------------------          /                                                    /    - + 2*3 /   ----- + -------------  - -------------------------------       \/     432         144       | |      /    - + 2*3 /   ----- + -------------  - -------------------------------          /                                                    /    - + 2*3 /   ----- + -------------  - -------------------------------       \/     432         144       | |        /    - + 2*3 /   ----- + -------------  - -------------------------------            /                                                      /    - + 2*3 /   ----- + -------------  - -------------------------------       \/     432         144       | |        /    - + 2*3 /   ----- + -------------  - -------------------------------            /                                                      /    - + 2*3 /   ----- + -------------  - -------------------------------       \/     432         144       |
|     /     3     \/     432         144                 _______________________         /                                                    /     3     \/     432         144                 _______________________                                    | |     /     3     \/     432         144                 _______________________         /                                                    /     3     \/     432         144                 _______________________                                    | |       /     3     \/     432         144                 _______________________           /                                                      /     3     \/     432         144                 _______________________                                    | |       /     3     \/     432         144                 _______________________           /                                                      /     3     \/     432         144                 _______________________                                    |
|    /                                                  /              ________         /                                                    /                                                  /              ________                                     | |    /                                                  /              ________         /                                                    /                                                  /              ________                                     | |      /                                                  /              ________           /                                                      /                                                  /              ________                                     | |      /                                                  /              ________           /                                                      /                                                  /              ________                                     |
|   /                                                  /  10825   25*\/ 156021         /                                                    /                                                  /  10825   25*\/ 156021                                      | |   /                                                  /  10825   25*\/ 156021         /                                                    /                                                  /  10825   25*\/ 156021                                      | |     /                                                  /  10825   25*\/ 156021           /                                                      /                                                  /  10825   25*\/ 156021                                      | |     /                                                  /  10825   25*\/ 156021           /                                                      /                                                  /  10825   25*\/ 156021                                      |
|  /                                             18*3 /   ----- + -------------       /                                                    /                                             18*3 /   ----- + -------------                                     | |  /                                             18*3 /   ----- + -------------       /                                                    /                                             18*3 /   ----- + -------------                                     | |    /                                             18*3 /   ----- + -------------         /                                                      /                                             18*3 /   ----- + -------------                                     | |    /                                             18*3 /   ----- + -------------         /                                                      /                                             18*3 /   ----- + -------------                                     |
|\/                                                 \/     432         144          \/                                                   \/                                                 \/     432         144                                          | |\/                                                 \/     432         144          \/                                                   \/                                                 \/     432         144                                          | |  \/                                                 \/     432         144            \/                                                     \/                                                 \/     432         144                                          | |  \/                                                 \/     432         144            \/                                                     \/                                                 \/     432         144                                          |
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$$\left(\frac{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}} + \frac{4}{3} + \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{46}{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}} + \frac{4}{3} + \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{46}{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}}}{2} + \frac{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}{2}\right) \left(- \frac{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}{2} - \frac{i \sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} - \frac{4}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}} + \frac{46}{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}}}{2}\right) \left(- \frac{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}{2} + \frac{i \sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} - \frac{4}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}} + \frac{46}{\sqrt{- \frac{575}{18 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{10825}{432} + \frac{25 \sqrt{156021}}{144}}}}}}{2}\right)$$
=
-48
$$-48$$
-48
Respuesta numérica [src]
x1 = -1.78450665401252
x2 = -0.823665656971336 - 2.67570794982018*i
x3 = -0.823665656971336 + 2.67570794982018*i
x4 = 3.43183796795519
x4 = 3.43183796795519