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0,48*x^4-0,24*x^2+10,6x=200 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
    4      2             
12*x    6*x    53*x      
----- - ---- + ---- = 200
  25     25     5        
$$\frac{53 x}{5} + \left(\frac{12 x^{4}}{25} - \frac{6 x^{2}}{25}\right) = 200$$
Gráfica
Suma y producto de raíces [src]
suma
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            /   2        /    29329   5*\/ 5119266446009                                                    265                                                                    19999                                                                                                                                                                                                                                         /   2        /    29329   5*\/ 5119266446009                                                    265                                                                    19999                                                                                                                                      /     2        /    29329   5*\/ 5119266446009                      19999                                                                   265                                                                                                                                                                     /     2        /    29329   5*\/ 5119266446009                      19999                                                                   265                                                 
           /    - - 2*3 /   - ----- + -------------------  + -------------------------------------------------------------------------------------------------- + ---------------------------------------                                                                                                                                                                                                                       /    - - 2*3 /   - ----- + -------------------  + -------------------------------------------------------------------------------------------------- + ---------------------------------------                                                                                                       I*           /    - - + 2*3 /   - ----- + -------------------  - --------------------------------------- + --------------------------------------------------------------------------------------------------                                                                                                       I*           /    - - + 2*3 /   - ----- + -------------------  - --------------------------------------- + -------------------------------------------------------------------------------------------------- 
          /     3     \/       6912           6912                       ______________________________________________________________________________________           _______________________________              ______________________________________________________________________________________               ______________________________________________________________________________________             /     3     \/       6912           6912                       ______________________________________________________________________________________           _______________________________              ______________________________________________________________________________________               /       3     \/       6912           6912                   _______________________________               ______________________________________________________________________________________              ______________________________________________________________________________________               /       3     \/       6912           6912                   _______________________________               ______________________________________________________________________________________ 
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        /                                                              /            /               _______________                                                     /    29329   5*\/ 5119266446009              /            /               _______________                                                         /            /               _______________                                                       /                                                              /            /               _______________                                                     /    29329   5*\/ 5119266446009              /            /               _______________                                                         /                                                            /    29329   5*\/ 5119266446009               /            /               _______________                                                        /            /               _______________                                                         /                                                            /    29329   5*\/ 5119266446009               /            /               _______________                                             
       /                                                              /   1        /    29329   5*\/ 5119266446009                      19999                     72*3 /   - ----- + -------------------            /   1        /    29329   5*\/ 5119266446009                      19999                              /   1        /    29329   5*\/ 5119266446009                      19999                            /                                                              /   1        /    29329   5*\/ 5119266446009                      19999                     72*3 /   - ----- + -------------------            /   1        /    29329   5*\/ 5119266446009                      19999                              /                                                       72*3 /   - ----- + -------------------             /   1        /    29329   5*\/ 5119266446009                      19999                             /   1        /    29329   5*\/ 5119266446009                      19999                              /                                                       72*3 /   - ----- + -------------------             /   1        /    29329   5*\/ 5119266446009                      19999                   
      /                                                      6*      /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------       \/       6912           6912                  /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------            /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------          /                                                      6*      /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------       \/       6912           6912                  /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------            /                                                           \/       6912           6912           6*      /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------           /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------            /                                                           \/       6912           6912           6*      /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------  
     /                                                              /     3     \/       6912           6912                   _______________________________                                                    /     3     \/       6912           6912                   _______________________________           /     3     \/       6912           6912                   _______________________________         /                                                              /     3     \/       6912           6912                   _______________________________                                                    /     3     \/       6912           6912                   _______________________________           /                                                                                                          /     3     \/       6912           6912                   _______________________________          /     3     \/       6912           6912                   _______________________________           /                                                                                                          /     3     \/       6912           6912                   _______________________________  
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   /                                                              /                                                          /    29329   5*\/ 5119266446009                                                    /                                                          /    29329   5*\/ 5119266446009           /                                                          /    29329   5*\/ 5119266446009         /                                                              /                                                          /    29329   5*\/ 5119266446009                                                    /                                                          /    29329   5*\/ 5119266446009           /                                                                                                          /                                                          /    29329   5*\/ 5119266446009          /                                                          /    29329   5*\/ 5119266446009           /                                                                                                          /                                                          /    29329   5*\/ 5119266446009    
  /                                                              /                                                     72*3 /   - ----- + -------------------                                                  /                                                     72*3 /   - ----- + -------------------         /                                                     72*3 /   - ----- + -------------------       /                                                              /                                                     72*3 /   - ----- + -------------------                                                  /                                                     72*3 /   - ----- + -------------------         /                                                                                                          /                                                     72*3 /   - ----- + -------------------        /                                                     72*3 /   - ----- + -------------------         /                                                                                                          /                                                     72*3 /   - ----- + -------------------   
\/                                                             \/                                                         \/       6912           6912                                                       \/                                                         \/       6912           6912              \/                                                         \/       6912           6912            \/                                                             \/                                                         \/       6912           6912                                                       \/                                                         \/       6912           6912              \/                                                                                                         \/                                                         \/       6912           6912             \/                                                         \/       6912           6912              \/                                                                                                         \/                                                         \/       6912           6912          
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------ + - ------------------------------------------------------------------------------------------------ - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                    2                                                                                                                                                       2                                                                                                    2                                                                                                                                                       2                                                                                                                                                       2                                                                                                                                                         2                                                                                                                                                         2                                                                                                                                                         2                                                                                                       
$$\left(\left(\left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}} + \frac{2}{3} + \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{265}{6 \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}}}{2} - \frac{\sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}{2}\right) + \left(- \frac{\sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}} + \frac{2}{3} + \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{265}{6 \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}}}{2}\right)\right) + \left(\frac{\sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}{2} - \frac{i \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} - \frac{2}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}} + \frac{265}{6 \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}}}{2}\right)\right) + \left(\frac{\sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}{2} + \frac{i \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} - \frac{2}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}} + \frac{265}{6 \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}}}{2}\right)$$
=
0
$$0$$
producto
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|            /   2        /    29329   5*\/ 5119266446009                                                    265                                                                    19999                                                                                                                     | |                                                                                                                 /   2        /    29329   5*\/ 5119266446009                                                    265                                                                    19999                  | |                                                                                                                 /     2        /    29329   5*\/ 5119266446009                      19999                                                                   265                                                 | |                                                                                                                 /     2        /    29329   5*\/ 5119266446009                      19999                                                                   265                                                 |
|           /    - - 2*3 /   - ----- + -------------------  + -------------------------------------------------------------------------------------------------- + ---------------------------------------                                                                                                    | |                                                                                                                /    - - 2*3 /   - ----- + -------------------  + -------------------------------------------------------------------------------------------------- + --------------------------------------- | |                                                                                                   I*           /    - - + 2*3 /   - ----- + -------------------  - --------------------------------------- + -------------------------------------------------------------------------------------------------- | |                                                                                                   I*           /    - - + 2*3 /   - ----- + -------------------  - --------------------------------------- + -------------------------------------------------------------------------------------------------- |
|          /     3     \/       6912           6912                       ______________________________________________________________________________________           _______________________________              ______________________________________________________________________________________| |            ______________________________________________________________________________________             /     3     \/       6912           6912                       ______________________________________________________________________________________           _______________________________ | |          ______________________________________________________________________________________               /       3     \/       6912           6912                   _______________________________               ______________________________________________________________________________________ | |          ______________________________________________________________________________________               /       3     \/       6912           6912                   _______________________________               ______________________________________________________________________________________ |
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|        /                                                              /            /               _______________                                                     /    29329   5*\/ 5119266446009              /            /               _______________                                            | |          /            /               _______________                                                       /                                                              /            /               _______________                                                     /    29329   5*\/ 5119266446009   | |        /            /               _______________                                                         /                                                            /    29329   5*\/ 5119266446009               /            /               _______________                                             | |        /            /               _______________                                                         /                                                            /    29329   5*\/ 5119266446009               /            /               _______________                                             |
|       /                                                              /   1        /    29329   5*\/ 5119266446009                      19999                     72*3 /   - ----- + -------------------            /   1        /    29329   5*\/ 5119266446009                      19999                  | |         /   1        /    29329   5*\/ 5119266446009                      19999                            /                                                              /   1        /    29329   5*\/ 5119266446009                      19999                     72*3 /   - ----- + -------------------  | |       /   1        /    29329   5*\/ 5119266446009                      19999                              /                                                       72*3 /   - ----- + -------------------             /   1        /    29329   5*\/ 5119266446009                      19999                   | |       /   1        /    29329   5*\/ 5119266446009                      19999                              /                                                       72*3 /   - ----- + -------------------             /   1        /    29329   5*\/ 5119266446009                      19999                   |
|      /                                                      6*      /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------       \/       6912           6912                  /    - + 2*3 /   - ----- + -------------------  - --------------------------------------- | |        /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------          /                                                      6*      /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------       \/       6912           6912         | |      /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------            /                                                           \/       6912           6912           6*      /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------  | |      /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------            /                                                           \/       6912           6912           6*      /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------  |
|     /                                                              /     3     \/       6912           6912                   _______________________________                                                    /     3     \/       6912           6912                   _______________________________ | |       /     3     \/       6912           6912                   _______________________________         /                                                              /     3     \/       6912           6912                   _______________________________                                            | |     /     3     \/       6912           6912                   _______________________________           /                                                                                                          /     3     \/       6912           6912                   _______________________________  | |     /     3     \/       6912           6912                   _______________________________           /                                                                                                          /     3     \/       6912           6912                   _______________________________  |
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|   /                                                              /                                                          /    29329   5*\/ 5119266446009                                                    /                                                          /    29329   5*\/ 5119266446009   | |     /                                                          /    29329   5*\/ 5119266446009         /                                                              /                                                          /    29329   5*\/ 5119266446009                                              | |   /                                                          /    29329   5*\/ 5119266446009           /                                                                                                          /                                                          /    29329   5*\/ 5119266446009    | |   /                                                          /    29329   5*\/ 5119266446009           /                                                                                                          /                                                          /    29329   5*\/ 5119266446009    |
|  /                                                              /                                                     72*3 /   - ----- + -------------------                                                  /                                                     72*3 /   - ----- + -------------------  | |    /                                                     72*3 /   - ----- + -------------------       /                                                              /                                                     72*3 /   - ----- + -------------------                                             | |  /                                                     72*3 /   - ----- + -------------------         /                                                                                                          /                                                     72*3 /   - ----- + -------------------   | |  /                                                     72*3 /   - ----- + -------------------         /                                                                                                          /                                                     72*3 /   - ----- + -------------------   |
|\/                                                             \/                                                         \/       6912           6912                                                       \/                                                         \/       6912           6912         | |  \/                                                         \/       6912           6912            \/                                                             \/                                                         \/       6912           6912                                                    | |\/                                                         \/       6912           6912              \/                                                                                                         \/                                                         \/       6912           6912          | |\/                                                         \/       6912           6912              \/                                                                                                         \/                                                         \/       6912           6912          |
|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------|*|- ------------------------------------------------------------------------------------------------ - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|------------------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|------------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\                                                                                                    2                                                                                                                                                       2                                                / \                                                 2                                                                                                                                                       2                                                                                                     / \                                               2                                                                                                                                                         2                                                                                                       / \                                               2                                                                                                                                                         2                                                                                                       /
$$\left(- \frac{\sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}} + \frac{2}{3} + \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{265}{6 \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}} + \frac{2}{3} + \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{265}{6 \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}}}{2} - \frac{\sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}{2}\right) \left(\frac{\sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}{2} - \frac{i \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} - \frac{2}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}} + \frac{265}{6 \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}}}{2}\right) \left(\frac{\sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}{2} + \frac{i \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} - \frac{2}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}} + \frac{265}{6 \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}}}{2}\right)$$
=
-1250/3
$$- \frac{1250}{3}$$
-1250/3
Respuesta rápida [src]
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                 /   2        /    29329   5*\/ 5119266446009                                                    265                                                                    19999                                                                                                                     
                /    - - 2*3 /   - ----- + -------------------  + -------------------------------------------------------------------------------------------------- + ---------------------------------------                                                                                                    
               /     3     \/       6912           6912                       ______________________________________________________________________________________           _______________________________              ______________________________________________________________________________________
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             /                                                              /            /               _______________                                                     /    29329   5*\/ 5119266446009              /            /               _______________                                            
            /                                                              /   1        /    29329   5*\/ 5119266446009                      19999                     72*3 /   - ----- + -------------------            /   1        /    29329   5*\/ 5119266446009                      19999                  
           /                                                      6*      /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------       \/       6912           6912                  /    - + 2*3 /   - ----- + -------------------  - --------------------------------------- 
          /                                                              /     3     \/       6912           6912                   _______________________________                                                    /     3     \/       6912           6912                   _______________________________ 
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        /                                                              /                                                          /    29329   5*\/ 5119266446009                                                    /                                                          /    29329   5*\/ 5119266446009   
       /                                                              /                                                     72*3 /   - ----- + -------------------                                                  /                                                     72*3 /   - ----- + -------------------  
     \/                                                             \/                                                         \/       6912           6912                                                       \/                                                         \/       6912           6912         
x1 = ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------
                                                                                                         2                                                                                                                                                       2                                                
$$x_{1} = - \frac{\sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}} + \frac{2}{3} + \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{265}{6 \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}}}{2}$$
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                                                                                                                      /   2        /    29329   5*\/ 5119266446009                                                    265                                                                    19999                  
                                                                                                                     /    - - 2*3 /   - ----- + -------------------  + -------------------------------------------------------------------------------------------------- + --------------------------------------- 
                 ______________________________________________________________________________________             /     3     \/       6912           6912                       ______________________________________________________________________________________           _______________________________ 
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              /   1        /    29329   5*\/ 5119266446009                      19999                            /                                                              /   1        /    29329   5*\/ 5119266446009                      19999                     72*3 /   - ----- + -------------------  
             /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------          /                                                      6*      /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------       \/       6912           6912         
            /     3     \/       6912           6912                   _______________________________         /                                                              /     3     \/       6912           6912                   _______________________________                                            
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          /                                                          /    29329   5*\/ 5119266446009         /                                                              /                                                          /    29329   5*\/ 5119266446009                                              
         /                                                     72*3 /   - ----- + -------------------       /                                                              /                                                     72*3 /   - ----- + -------------------                                             
       \/                                                         \/       6912           6912            \/                                                             \/                                                         \/       6912           6912                                                    
x2 = - ------------------------------------------------------------------------------------------------ - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                      2                                                                                                                                                       2                                                                                                     
$$x_{2} = - \frac{\sqrt{- 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}} + \frac{2}{3} + \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{265}{6 \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}}}{2} - \frac{\sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}{2}$$
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                                                                                                                      /     2        /    29329   5*\/ 5119266446009                      19999                                                                   265                                                 
                                                                                                        I*           /    - - + 2*3 /   - ----- + -------------------  - --------------------------------------- + -------------------------------------------------------------------------------------------------- 
               ______________________________________________________________________________________               /       3     \/       6912           6912                   _______________________________               ______________________________________________________________________________________ 
              /            _______________________________                                                         /                                                            /               _______________               /            _______________________________                                            
             /            /               _______________                                                         /                                                            /    29329   5*\/ 5119266446009               /            /               _______________                                             
            /   1        /    29329   5*\/ 5119266446009                      19999                              /                                                       72*3 /   - ----- + -------------------             /   1        /    29329   5*\/ 5119266446009                      19999                   
           /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------            /                                                           \/       6912           6912           6*      /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------  
          /     3     \/       6912           6912                   _______________________________           /                                                                                                          /     3     \/       6912           6912                   _______________________________  
         /                                                          /               _______________           /                                                                                                          /                                                          /               _______________   
        /                                                          /    29329   5*\/ 5119266446009           /                                                                                                          /                                                          /    29329   5*\/ 5119266446009    
       /                                                     72*3 /   - ----- + -------------------         /                                                                                                          /                                                     72*3 /   - ----- + -------------------   
     \/                                                         \/       6912           6912              \/                                                                                                         \/                                                         \/       6912           6912          
x3 = ------------------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                    2                                                                                                                                                         2                                                                                                       
$$x_{3} = \frac{\sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}{2} - \frac{i \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} - \frac{2}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}} + \frac{265}{6 \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}}}{2}$$
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                                                                                                                       /              /               _______________                                                                                                                                                 
                                                                                                                      /     2        /    29329   5*\/ 5119266446009                      19999                                                                   265                                                 
                                                                                                        I*           /    - - + 2*3 /   - ----- + -------------------  - --------------------------------------- + -------------------------------------------------------------------------------------------------- 
               ______________________________________________________________________________________               /       3     \/       6912           6912                   _______________________________               ______________________________________________________________________________________ 
              /            _______________________________                                                         /                                                            /               _______________               /            _______________________________                                            
             /            /               _______________                                                         /                                                            /    29329   5*\/ 5119266446009               /            /               _______________                                             
            /   1        /    29329   5*\/ 5119266446009                      19999                              /                                                       72*3 /   - ----- + -------------------             /   1        /    29329   5*\/ 5119266446009                      19999                   
           /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------            /                                                           \/       6912           6912           6*      /    - + 2*3 /   - ----- + -------------------  - ---------------------------------------  
          /     3     \/       6912           6912                   _______________________________           /                                                                                                          /     3     \/       6912           6912                   _______________________________  
         /                                                          /               _______________           /                                                                                                          /                                                          /               _______________   
        /                                                          /    29329   5*\/ 5119266446009           /                                                                                                          /                                                          /    29329   5*\/ 5119266446009    
       /                                                     72*3 /   - ----- + -------------------         /                                                                                                          /                                                     72*3 /   - ----- + -------------------   
     \/                                                         \/       6912           6912              \/                                                                                                         \/                                                         \/       6912           6912          
x4 = ------------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                    2                                                                                                                                                         2                                                                                                       
$$x_{4} = \frac{\sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}{2} + \frac{i \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} - \frac{2}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}} + \frac{265}{6 \sqrt{- \frac{19999}{72 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}} + \frac{1}{3} + 2 \sqrt[3]{- \frac{29329}{6912} + \frac{5 \sqrt{5119266446009}}{6912}}}}}}{2}$$
x4 = sqrt(-19999/(72*(-29329/6912 + 5*sqrt(5119266446009)/6912)^(1/3)) + 1/3 + 2*(-29329/6912 + 5*sqrt(5119266446009)/6912)^(1/3))/2 + i*sqrt(-19999/(72*(-29329/6912 + 5*sqrt(5119266446009)/6912)^(1/3)) - 2/3 + 2*(-29329/6912 + 5*sqrt(5119266446009)/6912)^(1/3) + 265/(6*sqrt(-19999/(72*(-29329/6912 + 5*sqrt(5119266446009)/6912)^(1/3)) + 1/3 + 2*(-29329/6912 + 5*sqrt(5119266446009)/6912)^(1/3))))/2
Respuesta numérica [src]
x1 = 0.270461002196367 + 4.49842495706385*i
x2 = 4.26710759639437
x3 = -4.80802960078711
x4 = 0.270461002196367 - 4.49842495706385*i
x4 = 0.270461002196367 - 4.49842495706385*i