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7*(x)=9+8*x^2-x^4 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
             2    4
7*x = 9 + 8*x  - x 
7x=x4+(8x2+9)7 x = - x^{4} + \left(8 x^{2} + 9\right)
Gráfica
-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.5-5000025000
Suma y producto de raíces [src]
suma
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            /   32        /    4885   \/ 2689329                                           14                                                       22                                                                                                                                                                                                   /     32        /    4885   \/ 2689329                                            14                                                        22                                                                                                                  /     32        /    4885   \/ 2689329                                            14                                                        22                                                                                                                /   32        /    4885   \/ 2689329                                           14                                                       22              
           /    -- - 2*3 /   - ---- + -----------  + ------------------------------------------------------------------------------ + -----------------------------                                                                                                                                                                        I*           /    - -- + 2*3 /   - ---- + -----------  + -------------------------------------------------------------------------------- - -----------------------------                                                                                       I*           /    - -- + 2*3 /   - ---- + -----------  + -------------------------------------------------------------------------------- - -----------------------------                                                                                                  /    -- - 2*3 /   - ---- + -----------  + ------------------------------------------------------------------------------ + ----------------------------- 
          /     3      \/      432        144                  ____________________________________________________________________          ______________________              ____________________________________________________________________             ______________________________________________________________________               /       3      \/      432        144                  ______________________________________________________________________          ______________________              ______________________________________________________________________               /       3      \/      432        144                  ______________________________________________________________________          ______________________                ____________________________________________________________________             /     3      \/      432        144                  ____________________________________________________________________          ______________________ 
         /                                                    /             ______________________                                          /            _________              /             ______________________                                             / |            ______________________                                |               /                                                      / |            ______________________                                |          /            _________              / |            ______________________                                |               /                                                      / |            ______________________                                |          /            _________                /             ______________________                                             /                                                    /             ______________________                                          /            _________  
        /                                                    /             /            _________                                          /    4885   \/ 2689329              /             /            _________                                             /  |           /            _________                                 |              /                                                      /  |           /            _________                                 |         /    4885   \/ 2689329              /  |           /            _________                                 |              /                                                      /  |           /            _________                                 |         /    4885   \/ 2689329                /             /            _________                                             /                                                    /             /            _________                                          /    4885   \/ 2689329   
       /                                                    /   16        /    4885   \/ 2689329                   22                 9*3 /   - ---- + -----------            /   16        /    4885   \/ 2689329                   22                        /   |16        /    4885   \/ 2689329                   22             |             /                                                      /   |16        /    4885   \/ 2689329                   22             |    9*3 /   - ---- + -----------            /   |16        /    4885   \/ 2689329                   22             |             /                                                      /   |16        /    4885   \/ 2689329                   22             |    9*3 /   - ---- + -----------              /   16        /    4885   \/ 2689329                   22                        /                                                    /   16        /    4885   \/ 2689329                   22                 9*3 /   - ---- + -----------  
      /                                                    /    -- + 2*3 /   - ---- + -----------  - -----------------------------      \/      432        144               /    -- + 2*3 /   - ---- + -----------  - -----------------------------          /    |-- + 2*3 /   - ---- + -----------  - -----------------------------|            /                                                      /    |-- + 2*3 /   - ---- + -----------  - -----------------------------|      \/      432        144               /    |-- + 2*3 /   - ---- + -----------  - -----------------------------|            /                                                      /    |-- + 2*3 /   - ---- + -----------  - -----------------------------|      \/      432        144                 /    -- + 2*3 /   - ---- + -----------  - -----------------------------          /                                                    /    -- + 2*3 /   - ---- + -----------  - -----------------------------      \/      432        144      
     /                                                    /     3      \/      432        144               ______________________                                          /     3      \/      432        144               ______________________         /     |3      \/      432        144               ______________________|           /                                                      /     |3      \/      432        144               ______________________|                                          /     |3      \/      432        144               ______________________|           /                                                      /     |3      \/      432        144               ______________________|                                            /     3      \/      432        144               ______________________         /                                                    /     3      \/      432        144               ______________________                                  
    /                                                    /                                                 /            _________                                          /                                                 /            _________         /      |                                           /            _________ |          /                                                      /      |                                           /            _________ |                                         /      |                                           /            _________ |          /                                                      /      |                                           /            _________ |                                           /                                                 /            _________         /                                                    /                                                 /            _________                                   
   /                                                    /                                                 /    4885   \/ 2689329                                          /                                                 /    4885   \/ 2689329         /       |                                          /    4885   \/ 2689329  |         /                                                      /       |                                          /    4885   \/ 2689329  |                                        /       |                                          /    4885   \/ 2689329  |         /                                                      /       |                                          /    4885   \/ 2689329  |                                          /                                                 /    4885   \/ 2689329         /                                                    /                                                 /    4885   \/ 2689329                                    
  /                                                    /                                             9*3 /   - ---- + -----------                                        /                                             9*3 /   - ---- + -----------       /        |                                     9*3 /   - ---- + ----------- |        /                                                      /        |                                     9*3 /   - ---- + ----------- |                                       /        |                                     9*3 /   - ---- + ----------- |        /                                                      /        |                                     9*3 /   - ---- + ----------- |                                         /                                             9*3 /   - ---- + -----------       /                                                    /                                             9*3 /   - ---- + -----------                                   
\/                                                   \/                                                \/      432        144                                          \/                                                \/      432        144         \/         |                                       \/      432        144     |      \/                                                     \/         |                                       \/      432        144     |                                     \/         |                                       \/      432        144     |      \/                                                     \/         |                                       \/      432        144     |                                       \/                                                \/      432        144         \/                                                   \/                                                \/      432        144                                       
-------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------ + -------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - ------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                 2                                                                                                                           2                                                                                 2                                                                                                                               2                                                                                                                               2                                                                                                                               2                                                                                                                                2                                                                                                                           2                                                                                  
(24885432+26893291443+2294885432+26893291443+323+142294885432+26893291443+24885432+26893291443+16322294885432+26893291443+24885432+26893291443+1632)+(((2294885432+26893291443+24885432+26893291443+1632+24885432+26893291443+2294885432+26893291443+323+142294885432+26893291443+24885432+26893291443+1632)+(2294885432+26893291443+24885432+26893291443+1632i3232294885432+26893291443+24885432+26893291443+142294885432+26893291443+24885432+26893291443+1632))+(2294885432+26893291443+24885432+26893291443+1632+i3232294885432+26893291443+24885432+26893291443+142294885432+26893291443+24885432+26893291443+1632))\left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + \frac{32}{3} + \frac{14}{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}}}}{2} - \frac{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}}{2}\right) + \left(\left(\left(- \frac{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + \frac{32}{3} + \frac{14}{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}}}}{2}\right) + \left(\frac{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}\right|}}{2} - \frac{i \sqrt{- \frac{32}{3} - \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{14}{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}\right|}}}}{2}\right)\right) + \left(\frac{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}\right|}}{2} + \frac{i \sqrt{- \frac{32}{3} - \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{14}{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}\right|}}}}{2}\right)\right)
=
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       /   |16        /    4885   \/ 2689329                   22             |           /   16        /    4885   \/ 2689329                   22              
      /    |-- + 2*3 /   - ---- + -----------  - -----------------------------|  -       /    -- + 2*3 /   - ---- + -----------  - ----------------------------- 
     /     |3      \/      432        144               ______________________|         /     3      \/      432        144               ______________________ 
    /      |                                           /            _________ |        /                                                 /            _________  
   /       |                                          /    4885   \/ 2689329  |       /                                                 /    4885   \/ 2689329   
  /        |                                     9*3 /   - ---- + ----------- |      /                                             9*3 /   - ---- + -----------  
\/         |                                       \/      432        144     |    \/                                                \/      432        144      
2294885432+26893291443+24885432+26893291443+163+2294885432+26893291443+24885432+26893291443+163- \sqrt{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}} + \sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}\right|}
producto
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|            /   32        /    4885   \/ 2689329                                           14                                                       22                                                                                               | |                                                                                                 /     32        /    4885   \/ 2689329                                            14                                                        22              | |                                                                                                 /     32        /    4885   \/ 2689329                                            14                                                        22              | |                                                                                               /   32        /    4885   \/ 2689329                                           14                                                       22              |
|           /    -- - 2*3 /   - ---- + -----------  + ------------------------------------------------------------------------------ + -----------------------------                                                                                  | |                                                                                   I*           /    - -- + 2*3 /   - ---- + -----------  + -------------------------------------------------------------------------------- - ----------------------------- | |                                                                                   I*           /    - -- + 2*3 /   - ---- + -----------  + -------------------------------------------------------------------------------- - ----------------------------- | |                                                                                              /    -- - 2*3 /   - ---- + -----------  + ------------------------------------------------------------------------------ + ----------------------------- |
|          /     3      \/      432        144                  ____________________________________________________________________          ______________________              ____________________________________________________________________| |          ______________________________________________________________________               /       3      \/      432        144                  ______________________________________________________________________          ______________________ | |          ______________________________________________________________________               /       3      \/      432        144                  ______________________________________________________________________          ______________________ | |            ____________________________________________________________________             /     3      \/      432        144                  ____________________________________________________________________          ______________________ |
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|        /                                                    /             /            _________                                          /    4885   \/ 2689329              /             /            _________                                  | |        /  |           /            _________                                 |              /                                                      /  |           /            _________                                 |         /    4885   \/ 2689329   | |        /  |           /            _________                                 |              /                                                      /  |           /            _________                                 |         /    4885   \/ 2689329   | |          /             /            _________                                             /                                                    /             /            _________                                          /    4885   \/ 2689329   |
|       /                                                    /   16        /    4885   \/ 2689329                   22                 9*3 /   - ---- + -----------            /   16        /    4885   \/ 2689329                   22              | |       /   |16        /    4885   \/ 2689329                   22             |             /                                                      /   |16        /    4885   \/ 2689329                   22             |    9*3 /   - ---- + -----------  | |       /   |16        /    4885   \/ 2689329                   22             |             /                                                      /   |16        /    4885   \/ 2689329                   22             |    9*3 /   - ---- + -----------  | |         /   16        /    4885   \/ 2689329                   22                        /                                                    /   16        /    4885   \/ 2689329                   22                 9*3 /   - ---- + -----------  |
|      /                                                    /    -- + 2*3 /   - ---- + -----------  - -----------------------------      \/      432        144               /    -- + 2*3 /   - ---- + -----------  - ----------------------------- | |      /    |-- + 2*3 /   - ---- + -----------  - -----------------------------|            /                                                      /    |-- + 2*3 /   - ---- + -----------  - -----------------------------|      \/      432        144      | |      /    |-- + 2*3 /   - ---- + -----------  - -----------------------------|            /                                                      /    |-- + 2*3 /   - ---- + -----------  - -----------------------------|      \/      432        144      | |        /    -- + 2*3 /   - ---- + -----------  - -----------------------------          /                                                    /    -- + 2*3 /   - ---- + -----------  - -----------------------------      \/      432        144      |
|     /                                                    /     3      \/      432        144               ______________________                                          /     3      \/      432        144               ______________________ | |     /     |3      \/      432        144               ______________________|           /                                                      /     |3      \/      432        144               ______________________|                                  | |     /     |3      \/      432        144               ______________________|           /                                                      /     |3      \/      432        144               ______________________|                                  | |       /     3      \/      432        144               ______________________         /                                                    /     3      \/      432        144               ______________________                                  |
|    /                                                    /                                                 /            _________                                          /                                                 /            _________  | |    /      |                                           /            _________ |          /                                                      /      |                                           /            _________ |                                  | |    /      |                                           /            _________ |          /                                                      /      |                                           /            _________ |                                  | |      /                                                 /            _________         /                                                    /                                                 /            _________                                   |
|   /                                                    /                                                 /    4885   \/ 2689329                                          /                                                 /    4885   \/ 2689329   | |   /       |                                          /    4885   \/ 2689329  |         /                                                      /       |                                          /    4885   \/ 2689329  |                                  | |   /       |                                          /    4885   \/ 2689329  |         /                                                      /       |                                          /    4885   \/ 2689329  |                                  | |     /                                                 /    4885   \/ 2689329         /                                                    /                                                 /    4885   \/ 2689329                                    |
|  /                                                    /                                             9*3 /   - ---- + -----------                                        /                                             9*3 /   - ---- + -----------  | |  /        |                                     9*3 /   - ---- + ----------- |        /                                                      /        |                                     9*3 /   - ---- + ----------- |                                  | |  /        |                                     9*3 /   - ---- + ----------- |        /                                                      /        |                                     9*3 /   - ---- + ----------- |                                  | |    /                                             9*3 /   - ---- + -----------       /                                                    /                                             9*3 /   - ---- + -----------                                   |
|\/                                                   \/                                                \/      432        144                                          \/                                                \/      432        144      | |\/         |                                       \/      432        144     |      \/                                                     \/         |                                       \/      432        144     |                                  | |\/         |                                       \/      432        144     |      \/                                                     \/         |                                       \/      432        144     |                                  | |  \/                                                \/      432        144         \/                                                   \/                                                \/      432        144                                       |
|-------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------|*|-------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- ------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\                                                                                 2                                                                                                                           2                                       / \                                       2                                                                                                                               2                                                                                     / \                                       2                                                                                                                               2                                                                                     / \                                        2                                                                                                                           2                                                                                  /
(2294885432+26893291443+24885432+26893291443+1632+24885432+26893291443+2294885432+26893291443+323+142294885432+26893291443+24885432+26893291443+1632)(2294885432+26893291443+24885432+26893291443+1632i3232294885432+26893291443+24885432+26893291443+142294885432+26893291443+24885432+26893291443+1632)(2294885432+26893291443+24885432+26893291443+1632+i3232294885432+26893291443+24885432+26893291443+142294885432+26893291443+24885432+26893291443+1632)(24885432+26893291443+2294885432+26893291443+323+142294885432+26893291443+24885432+26893291443+16322294885432+26893291443+24885432+26893291443+1632)\left(- \frac{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + \frac{32}{3} + \frac{14}{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}}}}{2}\right) \left(\frac{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}\right|}}{2} - \frac{i \sqrt{- \frac{32}{3} - \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{14}{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}\right|}}}}{2}\right) \left(\frac{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}\right|}}{2} + \frac{i \sqrt{- \frac{32}{3} - \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{14}{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}\right|}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + \frac{32}{3} + \frac{14}{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}}}}{2} - \frac{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}}{2}\right)
=
-9
9-9
-9
Respuesta rápida [src]
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                 /   32        /    4885   \/ 2689329                                           14                                                       22                                                                                               
                /    -- - 2*3 /   - ---- + -----------  + ------------------------------------------------------------------------------ + -----------------------------                                                                                  
               /     3      \/      432        144                  ____________________________________________________________________          ______________________              ____________________________________________________________________
              /                                                    /             ______________________                                          /            _________              /             ______________________                                 
             /                                                    /             /            _________                                          /    4885   \/ 2689329              /             /            _________                                  
            /                                                    /   16        /    4885   \/ 2689329                   22                 9*3 /   - ---- + -----------            /   16        /    4885   \/ 2689329                   22              
           /                                                    /    -- + 2*3 /   - ---- + -----------  - -----------------------------      \/      432        144               /    -- + 2*3 /   - ---- + -----------  - ----------------------------- 
          /                                                    /     3      \/      432        144               ______________________                                          /     3      \/      432        144               ______________________ 
         /                                                    /                                                 /            _________                                          /                                                 /            _________  
        /                                                    /                                                 /    4885   \/ 2689329                                          /                                                 /    4885   \/ 2689329   
       /                                                    /                                             9*3 /   - ---- + -----------                                        /                                             9*3 /   - ---- + -----------  
     \/                                                   \/                                                \/      432        144                                          \/                                                \/      432        144      
x1 = -------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------
                                                                                      2                                                                                                                           2                                       
x1=2294885432+26893291443+24885432+26893291443+1632+24885432+26893291443+2294885432+26893291443+323+142294885432+26893291443+24885432+26893291443+1632x_{1} = - \frac{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + \frac{32}{3} + \frac{14}{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}}}}{2}
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                                                                                                      /     32        /    4885   \/ 2689329                                            14                                                        22              
                                                                                        I*           /    - -- + 2*3 /   - ---- + -----------  + -------------------------------------------------------------------------------- - ----------------------------- 
               ______________________________________________________________________               /       3      \/      432        144                  ______________________________________________________________________          ______________________ 
              / |            ______________________                                |               /                                                      / |            ______________________                                |          /            _________  
             /  |           /            _________                                 |              /                                                      /  |           /            _________                                 |         /    4885   \/ 2689329   
            /   |16        /    4885   \/ 2689329                   22             |             /                                                      /   |16        /    4885   \/ 2689329                   22             |    9*3 /   - ---- + -----------  
           /    |-- + 2*3 /   - ---- + -----------  - -----------------------------|            /                                                      /    |-- + 2*3 /   - ---- + -----------  - -----------------------------|      \/      432        144      
          /     |3      \/      432        144               ______________________|           /                                                      /     |3      \/      432        144               ______________________|                                  
         /      |                                           /            _________ |          /                                                      /      |                                           /            _________ |                                  
        /       |                                          /    4885   \/ 2689329  |         /                                                      /       |                                          /    4885   \/ 2689329  |                                  
       /        |                                     9*3 /   - ---- + ----------- |        /                                                      /        |                                     9*3 /   - ---- + ----------- |                                  
     \/         |                                       \/      432        144     |      \/                                                     \/         |                                       \/      432        144     |                                  
x2 = -------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                            2                                                                                                                               2                                                                                     
x2=2294885432+26893291443+24885432+26893291443+1632i3232294885432+26893291443+24885432+26893291443+142294885432+26893291443+24885432+26893291443+1632x_{2} = \frac{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}\right|}}{2} - \frac{i \sqrt{- \frac{32}{3} - \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{14}{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}\right|}}}}{2}
                                                                                                         _________________________________________________________________________________________________________________________________________________________
                                                                                                        /               ______________________                                                                                                                    
                                                                                                       /               /            _________                                                                                                                     
                                                                                                      /     32        /    4885   \/ 2689329                                            14                                                        22              
                                                                                        I*           /    - -- + 2*3 /   - ---- + -----------  + -------------------------------------------------------------------------------- - ----------------------------- 
               ______________________________________________________________________               /       3      \/      432        144                  ______________________________________________________________________          ______________________ 
              / |            ______________________                                |               /                                                      / |            ______________________                                |          /            _________  
             /  |           /            _________                                 |              /                                                      /  |           /            _________                                 |         /    4885   \/ 2689329   
            /   |16        /    4885   \/ 2689329                   22             |             /                                                      /   |16        /    4885   \/ 2689329                   22             |    9*3 /   - ---- + -----------  
           /    |-- + 2*3 /   - ---- + -----------  - -----------------------------|            /                                                      /    |-- + 2*3 /   - ---- + -----------  - -----------------------------|      \/      432        144      
          /     |3      \/      432        144               ______________________|           /                                                      /     |3      \/      432        144               ______________________|                                  
         /      |                                           /            _________ |          /                                                      /      |                                           /            _________ |                                  
        /       |                                          /    4885   \/ 2689329  |         /                                                      /       |                                          /    4885   \/ 2689329  |                                  
       /        |                                     9*3 /   - ---- + ----------- |        /                                                      /        |                                     9*3 /   - ---- + ----------- |                                  
     \/         |                                       \/      432        144     |      \/                                                     \/         |                                       \/      432        144     |                                  
x3 = -------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                            2                                                                                                                               2                                                                                     
x3=2294885432+26893291443+24885432+26893291443+1632+i3232294885432+26893291443+24885432+26893291443+142294885432+26893291443+24885432+26893291443+1632x_{3} = \frac{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}\right|}}{2} + \frac{i \sqrt{- \frac{32}{3} - \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{14}{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}\right|}}}}{2}
                                                                                                       _____________________________________________________________________________________________________________________________________________________
                                                                                                      /             ______________________                                                                                                                  
                                                                                                     /             /            _________                                                                                                                   
                                                                                                    /   32        /    4885   \/ 2689329                                           14                                                       22              
                                                                                                   /    -- - 2*3 /   - ---- + -----------  + ------------------------------------------------------------------------------ + ----------------------------- 
                 ____________________________________________________________________             /     3      \/      432        144                  ____________________________________________________________________          ______________________ 
                /             ______________________                                             /                                                    /             ______________________                                          /            _________  
               /             /            _________                                             /                                                    /             /            _________                                          /    4885   \/ 2689329   
              /   16        /    4885   \/ 2689329                   22                        /                                                    /   16        /    4885   \/ 2689329                   22                 9*3 /   - ---- + -----------  
             /    -- + 2*3 /   - ---- + -----------  - -----------------------------          /                                                    /    -- + 2*3 /   - ---- + -----------  - -----------------------------      \/      432        144      
            /     3      \/      432        144               ______________________         /                                                    /     3      \/      432        144               ______________________                                  
           /                                                 /            _________         /                                                    /                                                 /            _________                                   
          /                                                 /    4885   \/ 2689329         /                                                    /                                                 /    4885   \/ 2689329                                    
         /                                             9*3 /   - ---- + -----------       /                                                    /                                             9*3 /   - ---- + -----------                                   
       \/                                                \/      432        144         \/                                                   \/                                                \/      432        144                                       
x4 = - ------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                             2                                                                                                                           2                                                                                  
x4=24885432+26893291443+2294885432+26893291443+323+142294885432+26893291443+24885432+26893291443+16322294885432+26893291443+24885432+26893291443+1632x_{4} = - \frac{\sqrt{- 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + \frac{32}{3} + \frac{14}{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}}}}{2} - \frac{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}}} + 2 \sqrt[3]{- \frac{4885}{432} + \frac{\sqrt{2689329}}{144}} + \frac{16}{3}}}{2}
x4 = -sqrt(-2*(-4885/432 + sqrt(2689329)/144)^(1/3) + 22/(9*(-4885/432 + sqrt(2689329)/144)^(1/3)) + 32/3 + 14/sqrt(-22/(9*(-4885/432 + sqrt(2689329)/144)^(1/3)) + 2*(-4885/432 + sqrt(2689329)/144)^(1/3) + 16/3))/2 - sqrt(-22/(9*(-4885/432 + sqrt(2689329)/144)^(1/3)) + 2*(-4885/432 + sqrt(2689329)/144)^(1/3) + 16/3)/2
Respuesta numérica [src]
x1 = 2.57660520509834
x2 = -3.30744173890609
x3 = 0.365418266903876 + 0.960501498898388*i
x4 = 0.365418266903876 - 0.960501498898388*i
x4 = 0.365418266903876 - 0.960501498898388*i