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-3x^5+3x^4+8x^3+2x^2+4x+4=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
     5      4      3      2              
- 3*x  + 3*x  + 8*x  + 2*x  + 4*x + 4 = 0
$$\left(4 x + \left(2 x^{2} + \left(8 x^{3} + \left(- 3 x^{5} + 3 x^{4}\right)\right)\right)\right) + 4 = 0$$
Gráfica
Respuesta rápida [src]
x1 = -1
$$x_{1} = -1$$
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                                                                                                   /     26        /    352   \/ 2059                 70                                                    10                                     
                                                                                     I*           /    - -- + 2*3 /   - --- + --------  - -------------------------- + --------------------------------------------------------------------------- 
                   _______________________________________________________________               /       9      \/      729      81               __________________               _______________________________________________________________ 
                  / |            __________________                             |               /                                                /           ______               / |            __________________                             |  
                 /  |           /           ______                              |              /                                                /    352   \/ 2059               /  |           /           ______                              |  
                /   |13        /    352   \/ 2059                 70            |             /                                           81*3 /   - --- + --------             /   |13        /    352   \/ 2059                 70            |  
               /    |-- + 2*3 /   - --- + --------  - --------------------------|            /                                               \/      729      81       3*      /    |-- + 2*3 /   - --- + --------  - --------------------------|  
              /     |9      \/      729      81               __________________|           /                                                                                 /     |9      \/      729      81               __________________|  
             /      |                                        /           ______ |          /                                                                                 /      |                                        /           ______ |  
            /       |                                       /    352   \/ 2059  |         /                                                                                 /       |                                       /    352   \/ 2059  |  
           /        |                                 81*3 /   - --- + -------- |        /                                                                                 /        |                                 81*3 /   - --- + -------- |  
     1   \/         |                                    \/      729      81    |      \/                                                                                \/         |                                    \/      729      81    |  
x2 = - - ------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------
     2                                       2                                                                                                                     2                                                                               
$$x_{2} = - \frac{\sqrt{\left|{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}\right|}}{2} + \frac{1}{2} - \frac{i \sqrt{- \frac{26}{9} - \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{10}{3 \sqrt{\left|{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}\right|}}}}{2}$$
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                                                                                                   /     26        /    352   \/ 2059                 70                                                    10                                     
                                                                                     I*           /    - -- + 2*3 /   - --- + --------  - -------------------------- + --------------------------------------------------------------------------- 
                   _______________________________________________________________               /       9      \/      729      81               __________________               _______________________________________________________________ 
                  / |            __________________                             |               /                                                /           ______               / |            __________________                             |  
                 /  |           /           ______                              |              /                                                /    352   \/ 2059               /  |           /           ______                              |  
                /   |13        /    352   \/ 2059                 70            |             /                                           81*3 /   - --- + --------             /   |13        /    352   \/ 2059                 70            |  
               /    |-- + 2*3 /   - --- + --------  - --------------------------|            /                                               \/      729      81       3*      /    |-- + 2*3 /   - --- + --------  - --------------------------|  
              /     |9      \/      729      81               __________________|           /                                                                                 /     |9      \/      729      81               __________________|  
             /      |                                        /           ______ |          /                                                                                 /      |                                        /           ______ |  
            /       |                                       /    352   \/ 2059  |         /                                                                                 /       |                                       /    352   \/ 2059  |  
           /        |                                 81*3 /   - --- + -------- |        /                                                                                 /        |                                 81*3 /   - --- + -------- |  
     1   \/         |                                    \/      729      81    |      \/                                                                                \/         |                                    \/      729      81    |  
x3 = - - ------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------
     2                                       2                                                                                                                     2                                                                               
$$x_{3} = - \frac{\sqrt{\left|{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}\right|}}{2} + \frac{1}{2} + \frac{i \sqrt{- \frac{26}{9} - \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{10}{3 \sqrt{\left|{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}\right|}}}}{2}$$
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                                                                                               /   26        /    352   \/ 2059                                         10                                                  70             
                                                                                              /    -- - 2*3 /   - --- + --------  + ------------------------------------------------------------------------- + -------------------------- 
                   _____________________________________________________________             /     9      \/      729      81                   _____________________________________________________________           __________________ 
                  /             __________________                                          /                                                  /             __________________                                        /           ______  
                 /             /           ______                                          /                                                  /             /           ______                                        /    352   \/ 2059   
                /   13        /    352   \/ 2059                 70                       /                                                  /   13        /    352   \/ 2059                 70                81*3 /   - --- + --------  
               /    -- + 2*3 /   - --- + --------  - --------------------------          /                                          3*      /    -- + 2*3 /   - --- + --------  - --------------------------       \/      729      81     
              /     9      \/      729      81               __________________         /                                                  /     9      \/      729      81               __________________                               
             /                                              /           ______         /                                                  /                                              /           ______                                
            /                                              /    352   \/ 2059         /                                                  /                                              /    352   \/ 2059                                 
           /                                         81*3 /   - --- + --------       /                                                  /                                         81*3 /   - --- + --------                                
     1   \/                                             \/      729      81        \/                                                 \/                                             \/      729      81                                   
x4 = - + ----------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------
     2                                      2                                                                                                                 2                                                                            
$$x_{4} = \frac{\sqrt{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}}{2} + \frac{1}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + \frac{26}{9} + \frac{10}{3 \sqrt{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}}}}{2}$$
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                                                                                              /    -- - 2*3 /   - --- + --------  + ------------------------------------------------------------------------- + -------------------------- 
                   _____________________________________________________________             /     9      \/      729      81                   _____________________________________________________________           __________________ 
                  /             __________________                                          /                                                  /             __________________                                        /           ______  
                 /             /           ______                                          /                                                  /             /           ______                                        /    352   \/ 2059   
                /   13        /    352   \/ 2059                 70                       /                                                  /   13        /    352   \/ 2059                 70                81*3 /   - --- + --------  
               /    -- + 2*3 /   - --- + --------  - --------------------------          /                                          3*      /    -- + 2*3 /   - --- + --------  - --------------------------       \/      729      81     
              /     9      \/      729      81               __________________         /                                                  /     9      \/      729      81               __________________                               
             /                                              /           ______         /                                                  /                                              /           ______                                
            /                                              /    352   \/ 2059         /                                                  /                                              /    352   \/ 2059                                 
           /                                         81*3 /   - --- + --------       /                                                  /                                         81*3 /   - --- + --------                                
     1   \/                                             \/      729      81        \/                                                 \/                                             \/      729      81                                   
x5 = - + ----------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------
     2                                      2                                                                                                                 2                                                                            
$$x_{5} = - \frac{\sqrt{- 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + \frac{26}{9} + \frac{10}{3 \sqrt{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}}}}{2} + \frac{\sqrt{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}}{2} + \frac{1}{2}$$
x5 = -sqrt(-2*(-352/729 + sqrt(2059)/81)^(1/3) + 70/(81*(-352/729 + sqrt(2059)/81)^(1/3)) + 26/9 + 10/(3*sqrt(-70/(81*(-352/729 + sqrt(2059)/81)^(1/3)) + 2*(-352/729 + sqrt(2059)/81)^(1/3) + 13/9)))/2 + sqrt(-70/(81*(-352/729 + sqrt(2059)/81)^(1/3)) + 2*(-352/729 + sqrt(2059)/81)^(1/3) + 13/9)/2 + 1/2
Suma y producto de raíces [src]
suma
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                                                                                                   /     26        /    352   \/ 2059                 70                                                    10                                                                                                                                      /     26        /    352   \/ 2059                 70                                                    10                                                                                                                                  /   26        /    352   \/ 2059                                         10                                                  70                                                                                                          /   26        /    352   \/ 2059                                         10                                                  70             
                                                                                     I*           /    - -- + 2*3 /   - --- + --------  - -------------------------- + ---------------------------------------------------------------------------                                                                                    I*           /    - -- + 2*3 /   - --- + --------  - -------------------------- + ---------------------------------------------------------------------------                                                                                             /    -- - 2*3 /   - --- + --------  + ------------------------------------------------------------------------- + --------------------------                                                                                             /    -- - 2*3 /   - --- + --------  + ------------------------------------------------------------------------- + -------------------------- 
                   _______________________________________________________________               /       9      \/      729      81               __________________               _______________________________________________________________                  _______________________________________________________________               /       9      \/      729      81               __________________               _______________________________________________________________                  _____________________________________________________________             /     9      \/      729      81                   _____________________________________________________________           __________________                  _____________________________________________________________             /     9      \/      729      81                   _____________________________________________________________           __________________ 
                  / |            __________________                             |               /                                                /           ______               / |            __________________                             |                  / |            __________________                             |               /                                                /           ______               / |            __________________                             |                  /             __________________                                          /                                                  /             __________________                                        /           ______                  /             __________________                                          /                                                  /             __________________                                        /           ______  
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                /   |13        /    352   \/ 2059                 70            |             /                                           81*3 /   - --- + --------             /   |13        /    352   \/ 2059                 70            |                /   |13        /    352   \/ 2059                 70            |             /                                           81*3 /   - --- + --------             /   |13        /    352   \/ 2059                 70            |                /   13        /    352   \/ 2059                 70                       /                                                  /   13        /    352   \/ 2059                 70                81*3 /   - --- + --------                /   13        /    352   \/ 2059                 70                       /                                                  /   13        /    352   \/ 2059                 70                81*3 /   - --- + --------  
               /    |-- + 2*3 /   - --- + --------  - --------------------------|            /                                               \/      729      81       3*      /    |-- + 2*3 /   - --- + --------  - --------------------------|               /    |-- + 2*3 /   - --- + --------  - --------------------------|            /                                               \/      729      81       3*      /    |-- + 2*3 /   - --- + --------  - --------------------------|               /    -- + 2*3 /   - --- + --------  - --------------------------          /                                          3*      /    -- + 2*3 /   - --- + --------  - --------------------------       \/      729      81                  /    -- + 2*3 /   - --- + --------  - --------------------------          /                                          3*      /    -- + 2*3 /   - --- + --------  - --------------------------       \/      729      81     
              /     |9      \/      729      81               __________________|           /                                                                                 /     |9      \/      729      81               __________________|              /     |9      \/      729      81               __________________|           /                                                                                 /     |9      \/      729      81               __________________|              /     9      \/      729      81               __________________         /                                                  /     9      \/      729      81               __________________                                           /     9      \/      729      81               __________________         /                                                  /     9      \/      729      81               __________________                               
             /      |                                        /           ______ |          /                                                                                 /      |                                        /           ______ |             /      |                                        /           ______ |          /                                                                                 /      |                                        /           ______ |             /                                              /           ______         /                                                  /                                              /           ______                                           /                                              /           ______         /                                                  /                                              /           ______                                
            /       |                                       /    352   \/ 2059  |         /                                                                                 /       |                                       /    352   \/ 2059  |            /       |                                       /    352   \/ 2059  |         /                                                                                 /       |                                       /    352   \/ 2059  |            /                                              /    352   \/ 2059         /                                                  /                                              /    352   \/ 2059                                           /                                              /    352   \/ 2059         /                                                  /                                              /    352   \/ 2059                                 
           /        |                                 81*3 /   - --- + -------- |        /                                                                                 /        |                                 81*3 /   - --- + -------- |           /        |                                 81*3 /   - --- + -------- |        /                                                                                 /        |                                 81*3 /   - --- + -------- |           /                                         81*3 /   - --- + --------       /                                                  /                                         81*3 /   - --- + --------                                         /                                         81*3 /   - --- + --------       /                                                  /                                         81*3 /   - --- + --------                                
     1   \/         |                                    \/      729      81    |      \/                                                                                \/         |                                    \/      729      81    |     1   \/         |                                    \/      729      81    |      \/                                                                                \/         |                                    \/      729      81    |     1   \/                                             \/      729      81        \/                                                 \/                                             \/      729      81                                      1   \/                                             \/      729      81        \/                                                 \/                                             \/      729      81                                   
-1 + - - ------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------- + - - ------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ----------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ----------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------
     2                                       2                                                                                                                     2                                                                                  2                                       2                                                                                                                     2                                                                                  2                                      2                                                                                                                 2                                                                               2                                      2                                                                                                                 2                                                                            
$$\left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + \frac{26}{9} + \frac{10}{3 \sqrt{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}}}}{2} + \frac{\sqrt{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}}{2} + \frac{1}{2}\right) + \left(\left(\frac{\sqrt{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}}{2} + \frac{1}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + \frac{26}{9} + \frac{10}{3 \sqrt{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}}}}{2}\right) + \left(\left(-1 + \left(- \frac{\sqrt{\left|{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}\right|}}{2} + \frac{1}{2} - \frac{i \sqrt{- \frac{26}{9} - \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{10}{3 \sqrt{\left|{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}\right|}}}}{2}\right)\right) + \left(- \frac{\sqrt{\left|{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}\right|}}{2} + \frac{1}{2} + \frac{i \sqrt{- \frac{26}{9} - \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{10}{3 \sqrt{\left|{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}\right|}}}}{2}\right)\right)\right)$$
=
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           /   13        /    352   \/ 2059                 70                       /   |13        /    352   \/ 2059                 70            | 
1 +       /    -- + 2*3 /   - --- + --------  - --------------------------  -       /    |-- + 2*3 /   - --- + --------  - --------------------------| 
         /     9      \/      729      81               __________________         /     |9      \/      729      81               __________________| 
        /                                              /           ______         /      |                                        /           ______ | 
       /                                              /    352   \/ 2059         /       |                                       /    352   \/ 2059  | 
      /                                         81*3 /   - --- + --------       /        |                                 81*3 /   - --- + -------- | 
    \/                                             \/      729      81        \/         |                                    \/      729      81    | 
$$- \sqrt{\left|{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}\right|} + \sqrt{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}} + 1$$
producto
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 |                                                                                I*           /    - -- + 2*3 /   - --- + --------  - -------------------------- + --------------------------------------------------------------------------- | |                                                                                I*           /    - -- + 2*3 /   - --- + --------  - -------------------------- + --------------------------------------------------------------------------- | |                                                                                         /    -- - 2*3 /   - --- + --------  + ------------------------------------------------------------------------- + -------------------------- | |                                                                                         /    -- - 2*3 /   - --- + --------  + ------------------------------------------------------------------------- + -------------------------- |
 |              _______________________________________________________________               /       9      \/      729      81               __________________               _______________________________________________________________ | |              _______________________________________________________________               /       9      \/      729      81               __________________               _______________________________________________________________ | |              _____________________________________________________________             /     9      \/      729      81                   _____________________________________________________________           __________________ | |              _____________________________________________________________             /     9      \/      729      81                   _____________________________________________________________           __________________ |
 |             / |            __________________                             |               /                                                /           ______               / |            __________________                             |  | |             / |            __________________                             |               /                                                /           ______               / |            __________________                             |  | |             /             __________________                                          /                                                  /             __________________                                        /           ______  | |             /             __________________                                          /                                                  /             __________________                                        /           ______  |
 |            /  |           /           ______                              |              /                                                /    352   \/ 2059               /  |           /           ______                              |  | |            /  |           /           ______                              |              /                                                /    352   \/ 2059               /  |           /           ______                              |  | |            /             /           ______                                          /                                                  /             /           ______                                        /    352   \/ 2059   | |            /             /           ______                                          /                                                  /             /           ______                                        /    352   \/ 2059   |
 |           /   |13        /    352   \/ 2059                 70            |             /                                           81*3 /   - --- + --------             /   |13        /    352   \/ 2059                 70            |  | |           /   |13        /    352   \/ 2059                 70            |             /                                           81*3 /   - --- + --------             /   |13        /    352   \/ 2059                 70            |  | |           /   13        /    352   \/ 2059                 70                       /                                                  /   13        /    352   \/ 2059                 70                81*3 /   - --- + --------  | |           /   13        /    352   \/ 2059                 70                       /                                                  /   13        /    352   \/ 2059                 70                81*3 /   - --- + --------  |
 |          /    |-- + 2*3 /   - --- + --------  - --------------------------|            /                                               \/      729      81       3*      /    |-- + 2*3 /   - --- + --------  - --------------------------|  | |          /    |-- + 2*3 /   - --- + --------  - --------------------------|            /                                               \/      729      81       3*      /    |-- + 2*3 /   - --- + --------  - --------------------------|  | |          /    -- + 2*3 /   - --- + --------  - --------------------------          /                                          3*      /    -- + 2*3 /   - --- + --------  - --------------------------       \/      729      81     | |          /    -- + 2*3 /   - --- + --------  - --------------------------          /                                          3*      /    -- + 2*3 /   - --- + --------  - --------------------------       \/      729      81     |
 |         /     |9      \/      729      81               __________________|           /                                                                                 /     |9      \/      729      81               __________________|  | |         /     |9      \/      729      81               __________________|           /                                                                                 /     |9      \/      729      81               __________________|  | |         /     9      \/      729      81               __________________         /                                                  /     9      \/      729      81               __________________                               | |         /     9      \/      729      81               __________________         /                                                  /     9      \/      729      81               __________________                               |
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 |      /        |                                 81*3 /   - --- + -------- |        /                                                                                 /        |                                 81*3 /   - --- + -------- |  | |      /        |                                 81*3 /   - --- + -------- |        /                                                                                 /        |                                 81*3 /   - --- + -------- |  | |      /                                         81*3 /   - --- + --------       /                                                  /                                         81*3 /   - --- + --------                                | |      /                                         81*3 /   - --- + --------       /                                                  /                                         81*3 /   - --- + --------                                |
 |1   \/         |                                    \/      729      81    |      \/                                                                                \/         |                                    \/      729      81    |  | |1   \/         |                                    \/      729      81    |      \/                                                                                \/         |                                    \/      729      81    |  | |1   \/                                             \/      729      81        \/                                                 \/                                             \/      729      81                                   | |1   \/                                             \/      729      81        \/                                                 \/                                             \/      729      81                                   |
-|- - ------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- - ------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ----------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------|*|- + ----------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------|
 \2                                       2                                                                                                                     2                                                                               / \2                                       2                                                                                                                     2                                                                               / \2                                      2                                                                                                                 2                                                                            / \2                                      2                                                                                                                 2                                                                            /
$$- (- \frac{\sqrt{\left|{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}\right|}}{2} + \frac{1}{2} - \frac{i \sqrt{- \frac{26}{9} - \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{10}{3 \sqrt{\left|{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}\right|}}}}{2}) \left(- \frac{\sqrt{\left|{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}\right|}}{2} + \frac{1}{2} + \frac{i \sqrt{- \frac{26}{9} - \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{10}{3 \sqrt{\left|{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}\right|}}}}{2}\right) \left(\frac{\sqrt{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}}{2} + \frac{1}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + \frac{26}{9} + \frac{10}{3 \sqrt{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + \frac{26}{9} + \frac{10}{3 \sqrt{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}}}}{2} + \frac{\sqrt{- \frac{70}{81 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}}} + 2 \sqrt[3]{- \frac{352}{729} + \frac{\sqrt{2059}}{81}} + \frac{13}{9}}}{2} + \frac{1}{2}\right)$$
=
4/3
$$\frac{4}{3}$$
4/3
Respuesta numérica [src]
x1 = -0.861245207505886
x2 = 2.37920697591199
x3 = 0.241019115796947 + 0.76981044313061*i
x4 = 0.241019115796947 - 0.76981044313061*i
x5 = -1.0
x5 = -1.0