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4*x^4-18*x^3-9*x^2+2*x-13=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   4       3      2               
4*x  - 18*x  - 9*x  + 2*x - 13 = 0
$$\left(2 x + \left(- 9 x^{2} + \left(4 x^{4} - 18 x^{3}\right)\right)\right) - 13 = 0$$
Respuesta rápida [src]
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                                                                                                                /     105        /    2803   \/ 161386851                   145                                                             1021                                           
                                                                                                  I*           /    - --- + 2*3 /   - ---- + -------------  - -------------------------------- + ----------------------------------------------------------------------------------------- 
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                  / |             ________________________                                   |               /                                                       /            ___________                / |             ________________________                                   |  
                 /  |            /            ___________                                    |              /                                                       /    2803   \/ 161386851                /  |            /            ___________                                    |  
                /   |105        /    2803   \/ 161386851                   145               |             /                                                  96*3 /   - ---- + -------------              /   |105        /    2803   \/ 161386851                   145               |  
               /    |--- + 2*3 /   - ---- + -------------  - --------------------------------|            /                                                      \/      512         2304        32*      /    |--- + 2*3 /   - ---- + -------------  - --------------------------------|  
              /     | 16     \/      512         2304                ________________________|           /                                                                                               /     | 16     \/      512         2304                ________________________|  
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            /       |                                              /    2803   \/ 161386851  |         /                                                                                               /       |                                              /    2803   \/ 161386851  |  
           /        |                                        96*3 /   - ---- + ------------- |        /                                                                                               /        |                                        96*3 /   - ---- + ------------- |  
     9   \/         |                                           \/      512         2304     |      \/                                                                                              \/         |                                           \/      512         2304     |  
x1 = - - -------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     8                                             2                                                                                                                                          2                                                                                            
$$x_{1} = - \frac{\sqrt{\left|{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}\right|}}{2} + \frac{9}{8} - \frac{i \sqrt{- \frac{105}{8} - \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{1021}{32 \sqrt{\left|{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}\right|}}}}{2}$$
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                                                                                                                /     105        /    2803   \/ 161386851                   145                                                             1021                                           
                                                                                                  I*           /    - --- + 2*3 /   - ---- + -------------  - -------------------------------- + ----------------------------------------------------------------------------------------- 
                   ____________________________________________________________________________               /        8      \/      512         2304                ________________________                ____________________________________________________________________________ 
                  / |             ________________________                                   |               /                                                       /            ___________                / |             ________________________                                   |  
                 /  |            /            ___________                                    |              /                                                       /    2803   \/ 161386851                /  |            /            ___________                                    |  
                /   |105        /    2803   \/ 161386851                   145               |             /                                                  96*3 /   - ---- + -------------              /   |105        /    2803   \/ 161386851                   145               |  
               /    |--- + 2*3 /   - ---- + -------------  - --------------------------------|            /                                                      \/      512         2304        32*      /    |--- + 2*3 /   - ---- + -------------  - --------------------------------|  
              /     | 16     \/      512         2304                ________________________|           /                                                                                               /     | 16     \/      512         2304                ________________________|  
             /      |                                               /            ___________ |          /                                                                                               /      |                                               /            ___________ |  
            /       |                                              /    2803   \/ 161386851  |         /                                                                                               /       |                                              /    2803   \/ 161386851  |  
           /        |                                        96*3 /   - ---- + ------------- |        /                                                                                               /        |                                        96*3 /   - ---- + ------------- |  
     9   \/         |                                           \/      512         2304     |      \/                                                                                              \/         |                                           \/      512         2304     |  
x2 = - - -------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     8                                             2                                                                                                                                          2                                                                                            
$$x_{2} = - \frac{\sqrt{\left|{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}\right|}}{2} + \frac{9}{8} + \frac{i \sqrt{- \frac{105}{8} - \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{1021}{32 \sqrt{\left|{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}\right|}}}}{2}$$
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                                                                                                            /   105        /    2803   \/ 161386851                   145                                                            1021                                          
                                                                                                           /    --- - 2*3 /   - ---- + -------------  + -------------------------------- + --------------------------------------------------------------------------------------- 
                   __________________________________________________________________________             /      8      \/      512         2304                ________________________                __________________________________________________________________________ 
                  /              ________________________                                                /                                                     /            ___________                /              ________________________                                     
                 /              /            ___________                                                /                                                     /    2803   \/ 161386851                /              /            ___________                                      
                /   105        /    2803   \/ 161386851                   145                          /                                                96*3 /   - ---- + -------------              /   105        /    2803   \/ 161386851                   145                 
               /    --- + 2*3 /   - ---- + -------------  - --------------------------------          /                                                    \/      512         2304        32*      /    --- + 2*3 /   - ---- + -------------  - --------------------------------  
              /      16     \/      512         2304                ________________________         /                                                                                             /      16     \/      512         2304                ________________________  
             /                                                     /            ___________         /                                                                                             /                                                     /            ___________   
            /                                                     /    2803   \/ 161386851         /                                                                                             /                                                     /    2803   \/ 161386851    
           /                                                96*3 /   - ---- + -------------       /                                                                                             /                                                96*3 /   - ---- + -------------   
     9   \/                                                    \/      512         2304         \/                                                                                            \/                                                    \/      512         2304       
x3 = - + ------------------------------------------------------------------------------------ + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     8                                            2                                                                                                                                      2                                                                                         
$$x_{3} = \frac{\sqrt{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}}{2} + \frac{9}{8} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + \frac{105}{8} + \frac{1021}{32 \sqrt{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}}}}{2}$$
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                                                                                                            /   105        /    2803   \/ 161386851                   145                                                            1021                                          
                                                                                                           /    --- - 2*3 /   - ---- + -------------  + -------------------------------- + --------------------------------------------------------------------------------------- 
                   __________________________________________________________________________             /      8      \/      512         2304                ________________________                __________________________________________________________________________ 
                  /              ________________________                                                /                                                     /            ___________                /              ________________________                                     
                 /              /            ___________                                                /                                                     /    2803   \/ 161386851                /              /            ___________                                      
                /   105        /    2803   \/ 161386851                   145                          /                                                96*3 /   - ---- + -------------              /   105        /    2803   \/ 161386851                   145                 
               /    --- + 2*3 /   - ---- + -------------  - --------------------------------          /                                                    \/      512         2304        32*      /    --- + 2*3 /   - ---- + -------------  - --------------------------------  
              /      16     \/      512         2304                ________________________         /                                                                                             /      16     \/      512         2304                ________________________  
             /                                                     /            ___________         /                                                                                             /                                                     /            ___________   
            /                                                     /    2803   \/ 161386851         /                                                                                             /                                                     /    2803   \/ 161386851    
           /                                                96*3 /   - ---- + -------------       /                                                                                             /                                                96*3 /   - ---- + -------------   
     9   \/                                                    \/      512         2304         \/                                                                                            \/                                                    \/      512         2304       
x4 = - + ------------------------------------------------------------------------------------ - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     8                                            2                                                                                                                                      2                                                                                         
$$x_{4} = - \frac{\sqrt{- 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + \frac{105}{8} + \frac{1021}{32 \sqrt{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}}}}{2} + \frac{\sqrt{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}}{2} + \frac{9}{8}$$
x4 = -sqrt(-2*(-2803/512 + sqrt(161386851)/2304)^(1/3) + 145/(96*(-2803/512 + sqrt(161386851)/2304)^(1/3)) + 105/8 + 1021/(32*sqrt(-145/(96*(-2803/512 + sqrt(161386851)/2304)^(1/3)) + 2*(-2803/512 + sqrt(161386851)/2304)^(1/3) + 105/16)))/2 + sqrt(-145/(96*(-2803/512 + sqrt(161386851)/2304)^(1/3)) + 2*(-2803/512 + sqrt(161386851)/2304)^(1/3) + 105/16)/2 + 9/8
Suma y producto de raíces [src]
suma
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                                                                                                           /     105        /    2803   \/ 161386851                   145                                                             1021                                                                                                                                                         /     105        /    2803   \/ 161386851                   145                                                             1021                                                                                                                                                     /   105        /    2803   \/ 161386851                   145                                                            1021                                                                                                                                                    /   105        /    2803   \/ 161386851                   145                                                            1021                                          
                                                                                             I*           /    - --- + 2*3 /   - ---- + -------------  - -------------------------------- + -----------------------------------------------------------------------------------------                                                                                                 I*           /    - --- + 2*3 /   - ---- + -------------  - -------------------------------- + -----------------------------------------------------------------------------------------                                                                                                          /    --- - 2*3 /   - ---- + -------------  + -------------------------------- + ---------------------------------------------------------------------------------------                                                                                                          /    --- - 2*3 /   - ---- + -------------  + -------------------------------- + --------------------------------------------------------------------------------------- 
              ____________________________________________________________________________               /        8      \/      512         2304                ________________________                ____________________________________________________________________________                  ____________________________________________________________________________               /        8      \/      512         2304                ________________________                ____________________________________________________________________________                  __________________________________________________________________________             /      8      \/      512         2304                ________________________                __________________________________________________________________________                  __________________________________________________________________________             /      8      \/      512         2304                ________________________                __________________________________________________________________________ 
             / |             ________________________                                   |               /                                                       /            ___________                / |             ________________________                                   |                  / |             ________________________                                   |               /                                                       /            ___________                / |             ________________________                                   |                  /              ________________________                                                /                                                     /            ___________                /              ________________________                                                     /              ________________________                                                /                                                     /            ___________                /              ________________________                                     
            /  |            /            ___________                                    |              /                                                       /    2803   \/ 161386851                /  |            /            ___________                                    |                 /  |            /            ___________                                    |              /                                                       /    2803   \/ 161386851                /  |            /            ___________                                    |                 /              /            ___________                                                /                                                     /    2803   \/ 161386851                /              /            ___________                                                     /              /            ___________                                                /                                                     /    2803   \/ 161386851                /              /            ___________                                      
           /   |105        /    2803   \/ 161386851                   145               |             /                                                  96*3 /   - ---- + -------------              /   |105        /    2803   \/ 161386851                   145               |                /   |105        /    2803   \/ 161386851                   145               |             /                                                  96*3 /   - ---- + -------------              /   |105        /    2803   \/ 161386851                   145               |                /   105        /    2803   \/ 161386851                   145                          /                                                96*3 /   - ---- + -------------              /   105        /    2803   \/ 161386851                   145                               /   105        /    2803   \/ 161386851                   145                          /                                                96*3 /   - ---- + -------------              /   105        /    2803   \/ 161386851                   145                 
          /    |--- + 2*3 /   - ---- + -------------  - --------------------------------|            /                                                      \/      512         2304        32*      /    |--- + 2*3 /   - ---- + -------------  - --------------------------------|               /    |--- + 2*3 /   - ---- + -------------  - --------------------------------|            /                                                      \/      512         2304        32*      /    |--- + 2*3 /   - ---- + -------------  - --------------------------------|               /    --- + 2*3 /   - ---- + -------------  - --------------------------------          /                                                    \/      512         2304        32*      /    --- + 2*3 /   - ---- + -------------  - --------------------------------               /    --- + 2*3 /   - ---- + -------------  - --------------------------------          /                                                    \/      512         2304        32*      /    --- + 2*3 /   - ---- + -------------  - --------------------------------  
         /     | 16     \/      512         2304                ________________________|           /                                                                                               /     | 16     \/      512         2304                ________________________|              /     | 16     \/      512         2304                ________________________|           /                                                                                               /     | 16     \/      512         2304                ________________________|              /      16     \/      512         2304                ________________________         /                                                                                             /      16     \/      512         2304                ________________________              /      16     \/      512         2304                ________________________         /                                                                                             /      16     \/      512         2304                ________________________  
        /      |                                               /            ___________ |          /                                                                                               /      |                                               /            ___________ |             /      |                                               /            ___________ |          /                                                                                               /      |                                               /            ___________ |             /                                                     /            ___________         /                                                                                             /                                                     /            ___________              /                                                     /            ___________         /                                                                                             /                                                     /            ___________   
       /       |                                              /    2803   \/ 161386851  |         /                                                                                               /       |                                              /    2803   \/ 161386851  |            /       |                                              /    2803   \/ 161386851  |         /                                                                                               /       |                                              /    2803   \/ 161386851  |            /                                                     /    2803   \/ 161386851         /                                                                                             /                                                     /    2803   \/ 161386851              /                                                     /    2803   \/ 161386851         /                                                                                             /                                                     /    2803   \/ 161386851    
      /        |                                        96*3 /   - ---- + ------------- |        /                                                                                               /        |                                        96*3 /   - ---- + ------------- |           /        |                                        96*3 /   - ---- + ------------- |        /                                                                                               /        |                                        96*3 /   - ---- + ------------- |           /                                                96*3 /   - ---- + -------------       /                                                                                             /                                                96*3 /   - ---- + -------------            /                                                96*3 /   - ---- + -------------       /                                                                                             /                                                96*3 /   - ---- + -------------   
9   \/         |                                           \/      512         2304     |      \/                                                                                              \/         |                                           \/      512         2304     |     9   \/         |                                           \/      512         2304     |      \/                                                                                              \/         |                                           \/      512         2304     |     9   \/                                                    \/      512         2304         \/                                                                                            \/                                                    \/      512         2304          9   \/                                                    \/      512         2304         \/                                                                                            \/                                                    \/      512         2304       
- - -------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - - -------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ------------------------------------------------------------------------------------ + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ------------------------------------------------------------------------------------ - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
8                                             2                                                                                                                                          2                                                                                               8                                             2                                                                                                                                          2                                                                                               8                                            2                                                                                                                                      2                                                                                            8                                            2                                                                                                                                      2                                                                                         
$$\left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + \frac{105}{8} + \frac{1021}{32 \sqrt{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}}}}{2} + \frac{\sqrt{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}}{2} + \frac{9}{8}\right) + \left(\left(\frac{\sqrt{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}}{2} + \frac{9}{8} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + \frac{105}{8} + \frac{1021}{32 \sqrt{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}}}}{2}\right) + \left(\left(- \frac{\sqrt{\left|{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}\right|}}{2} + \frac{9}{8} - \frac{i \sqrt{- \frac{105}{8} - \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{1021}{32 \sqrt{\left|{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}\right|}}}}{2}\right) + \left(- \frac{\sqrt{\left|{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}\right|}}{2} + \frac{9}{8} + \frac{i \sqrt{- \frac{105}{8} - \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{1021}{32 \sqrt{\left|{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}\right|}}}}{2}\right)\right)\right)$$
=
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9          /   105        /    2803   \/ 161386851                   145                          /   |105        /    2803   \/ 161386851                   145               | 
- +       /    --- + 2*3 /   - ---- + -------------  - --------------------------------  -       /    |--- + 2*3 /   - ---- + -------------  - --------------------------------| 
2        /      16     \/      512         2304                ________________________         /     | 16     \/      512         2304                ________________________| 
        /                                                     /            ___________         /      |                                               /            ___________ | 
       /                                                     /    2803   \/ 161386851         /       |                                              /    2803   \/ 161386851  | 
      /                                                96*3 /   - ---- + -------------       /        |                                        96*3 /   - ---- + ------------- | 
    \/                                                    \/      512         2304         \/         |                                           \/      512         2304     | 
$$- \sqrt{\left|{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}\right|} + \sqrt{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}} + \frac{9}{2}$$
producto
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|                                                                                                            /                /            ___________                                                                                                                                 | |                                                                                                            /                /            ___________                                                                                                                                 | |                                                                                                        /              /            ___________                                                                                                                               | |                                                                                                        /              /            ___________                                                                                                                               |
|                                                                                                           /     105        /    2803   \/ 161386851                   145                                                             1021                                           | |                                                                                                           /     105        /    2803   \/ 161386851                   145                                                             1021                                           | |                                                                                                       /   105        /    2803   \/ 161386851                   145                                                            1021                                          | |                                                                                                       /   105        /    2803   \/ 161386851                   145                                                            1021                                          |
|                                                                                             I*           /    - --- + 2*3 /   - ---- + -------------  - -------------------------------- + ----------------------------------------------------------------------------------------- | |                                                                                             I*           /    - --- + 2*3 /   - ---- + -------------  - -------------------------------- + ----------------------------------------------------------------------------------------- | |                                                                                                      /    --- - 2*3 /   - ---- + -------------  + -------------------------------- + --------------------------------------------------------------------------------------- | |                                                                                                      /    --- - 2*3 /   - ---- + -------------  + -------------------------------- + --------------------------------------------------------------------------------------- |
|              ____________________________________________________________________________               /        8      \/      512         2304                ________________________                ____________________________________________________________________________ | |              ____________________________________________________________________________               /        8      \/      512         2304                ________________________                ____________________________________________________________________________ | |              __________________________________________________________________________             /      8      \/      512         2304                ________________________                __________________________________________________________________________ | |              __________________________________________________________________________             /      8      \/      512         2304                ________________________                __________________________________________________________________________ |
|             / |             ________________________                                   |               /                                                       /            ___________                / |             ________________________                                   |  | |             / |             ________________________                                   |               /                                                       /            ___________                / |             ________________________                                   |  | |             /              ________________________                                                /                                                     /            ___________                /              ________________________                                     | |             /              ________________________                                                /                                                     /            ___________                /              ________________________                                     |
|            /  |            /            ___________                                    |              /                                                       /    2803   \/ 161386851                /  |            /            ___________                                    |  | |            /  |            /            ___________                                    |              /                                                       /    2803   \/ 161386851                /  |            /            ___________                                    |  | |            /              /            ___________                                                /                                                     /    2803   \/ 161386851                /              /            ___________                                      | |            /              /            ___________                                                /                                                     /    2803   \/ 161386851                /              /            ___________                                      |
|           /   |105        /    2803   \/ 161386851                   145               |             /                                                  96*3 /   - ---- + -------------              /   |105        /    2803   \/ 161386851                   145               |  | |           /   |105        /    2803   \/ 161386851                   145               |             /                                                  96*3 /   - ---- + -------------              /   |105        /    2803   \/ 161386851                   145               |  | |           /   105        /    2803   \/ 161386851                   145                          /                                                96*3 /   - ---- + -------------              /   105        /    2803   \/ 161386851                   145                 | |           /   105        /    2803   \/ 161386851                   145                          /                                                96*3 /   - ---- + -------------              /   105        /    2803   \/ 161386851                   145                 |
|          /    |--- + 2*3 /   - ---- + -------------  - --------------------------------|            /                                                      \/      512         2304        32*      /    |--- + 2*3 /   - ---- + -------------  - --------------------------------|  | |          /    |--- + 2*3 /   - ---- + -------------  - --------------------------------|            /                                                      \/      512         2304        32*      /    |--- + 2*3 /   - ---- + -------------  - --------------------------------|  | |          /    --- + 2*3 /   - ---- + -------------  - --------------------------------          /                                                    \/      512         2304        32*      /    --- + 2*3 /   - ---- + -------------  - --------------------------------  | |          /    --- + 2*3 /   - ---- + -------------  - --------------------------------          /                                                    \/      512         2304        32*      /    --- + 2*3 /   - ---- + -------------  - --------------------------------  |
|         /     | 16     \/      512         2304                ________________________|           /                                                                                               /     | 16     \/      512         2304                ________________________|  | |         /     | 16     \/      512         2304                ________________________|           /                                                                                               /     | 16     \/      512         2304                ________________________|  | |         /      16     \/      512         2304                ________________________         /                                                                                             /      16     \/      512         2304                ________________________  | |         /      16     \/      512         2304                ________________________         /                                                                                             /      16     \/      512         2304                ________________________  |
|        /      |                                               /            ___________ |          /                                                                                               /      |                                               /            ___________ |  | |        /      |                                               /            ___________ |          /                                                                                               /      |                                               /            ___________ |  | |        /                                                     /            ___________         /                                                                                             /                                                     /            ___________   | |        /                                                     /            ___________         /                                                                                             /                                                     /            ___________   |
|       /       |                                              /    2803   \/ 161386851  |         /                                                                                               /       |                                              /    2803   \/ 161386851  |  | |       /       |                                              /    2803   \/ 161386851  |         /                                                                                               /       |                                              /    2803   \/ 161386851  |  | |       /                                                     /    2803   \/ 161386851         /                                                                                             /                                                     /    2803   \/ 161386851    | |       /                                                     /    2803   \/ 161386851         /                                                                                             /                                                     /    2803   \/ 161386851    |
|      /        |                                        96*3 /   - ---- + ------------- |        /                                                                                               /        |                                        96*3 /   - ---- + ------------- |  | |      /        |                                        96*3 /   - ---- + ------------- |        /                                                                                               /        |                                        96*3 /   - ---- + ------------- |  | |      /                                                96*3 /   - ---- + -------------       /                                                                                             /                                                96*3 /   - ---- + -------------   | |      /                                                96*3 /   - ---- + -------------       /                                                                                             /                                                96*3 /   - ---- + -------------   |
|9   \/         |                                           \/      512         2304     |      \/                                                                                              \/         |                                           \/      512         2304     |  | |9   \/         |                                           \/      512         2304     |      \/                                                                                              \/         |                                           \/      512         2304     |  | |9   \/                                                    \/      512         2304         \/                                                                                            \/                                                    \/      512         2304       | |9   \/                                                    \/      512         2304         \/                                                                                            \/                                                    \/      512         2304       |
|- - -------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- - -------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ------------------------------------------------------------------------------------ + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ------------------------------------------------------------------------------------ - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\8                                             2                                                                                                                                          2                                                                                            / \8                                             2                                                                                                                                          2                                                                                            / \8                                            2                                                                                                                                      2                                                                                         / \8                                            2                                                                                                                                      2                                                                                         /
$$\left(- \frac{\sqrt{\left|{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}\right|}}{2} + \frac{9}{8} - \frac{i \sqrt{- \frac{105}{8} - \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{1021}{32 \sqrt{\left|{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}\right|}}}}{2}\right) \left(- \frac{\sqrt{\left|{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}\right|}}{2} + \frac{9}{8} + \frac{i \sqrt{- \frac{105}{8} - \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{1021}{32 \sqrt{\left|{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}\right|}}}}{2}\right) \left(\frac{\sqrt{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}}{2} + \frac{9}{8} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + \frac{105}{8} + \frac{1021}{32 \sqrt{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + \frac{105}{8} + \frac{1021}{32 \sqrt{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}}}}{2} + \frac{\sqrt{- \frac{145}{96 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}}} + 2 \sqrt[3]{- \frac{2803}{512} + \frac{\sqrt{161386851}}{2304}} + \frac{105}{16}}}{2} + \frac{9}{8}\right)$$
=
-13/4
$$- \frac{13}{4}$$
-13/4
Respuesta numérica [src]
x1 = 0.289013989991421 + 0.740100531314373*i
x2 = 0.289013989991421 - 0.740100531314373*i
x3 = 4.95994475907328
x4 = -1.03797273905612
x4 = -1.03797273905612