Sr Examen

Otras calculadoras

((3*x^2-6*x+2))(x^2-2*x-1)-5^2+10*x-7=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
/   2          \ / 2          \                    
\3*x  - 6*x + 2/*\x  - 2*x - 1/ - 25 + 10*x - 7 = 0
$$\left(10 x + \left(\left(\left(x^{2} - 2 x\right) - 1\right) \left(\left(3 x^{2} - 6 x\right) + 2\right) - 25\right)\right) - 7 = 0$$
Respuesta rápida [src]
                        _______________________________________________________________________________________________________________________________________________________________                                                                                     
                       /             _______________________                                                                                                                                                                                                                
                      /             /             _________                                                                                                                                                                                                                 
                     /   28        /    11413   \/ 1334470                                              20                                                          671                                                                                                     
                    /    -- - 2*3 /   - ----- + -----------  + ------------------------------------------------------------------------------------ + --------------------------------                                                                                      
                   /     9      \/       5832       324                    ________________________________________________________________________            _______________________              ________________________________________________________________________
                  /                                                       /             _______________________                                               /             _________              /             _______________________                                    
                 /                                                       /             /             _________                                               /    11413   \/ 1334470              /             /             _________                                     
                /                                                       /   14        /    11413   \/ 1334470                   671                   162*3 /   - ----- + -----------            /   14        /    11413   \/ 1334470                   671                
               /                                               3*      /    -- + 2*3 /   - ----- + -----------  - --------------------------------        \/       5832       324               /    -- + 2*3 /   - ----- + -----------  - -------------------------------- 
              /                                                       /     9      \/       5832       324                 _______________________                                             /     9      \/       5832       324                 _______________________ 
             /                                                       /                                                    /             _________                                             /                                                    /             _________  
            /                                                       /                                                    /    11413   \/ 1334470                                             /                                                    /    11413   \/ 1334470   
           /                                                       /                                              162*3 /   - ----- + -----------                                           /                                              162*3 /   - ----- + -----------  
         \/                                                      \/                                                   \/       5832       324                                             \/                                                   \/       5832       324      
x1 = 1 + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ----------------------------------------------------------------------------------
                                                                                               2                                                                                                                                  2                                         
$$x_{1} = - \frac{\sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}{2} + 1 + \frac{\sqrt{- 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}} + \frac{28}{9} + \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{20}{3 \sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}}}{2}$$
                                                                                                               _________________________________________________________________________________________________________________________________________________________________
                                                                                                              / |            _______________________                                                                                                                          | 
                                                                                                             /  |           /             _________                                                                                                                           | 
                                                                                                            /   |28        /    11413   \/ 1334470                                              20                                                          671               | 
                                                                                              I*           /    |-- - 2*3 /   - ----- + -----------  - ------------------------------------------------------------------------------------ + --------------------------------| 
                   ________________________________________________________________________               /     |9      \/       5832       324                    ________________________________________________________________________            _______________________| 
                  /             _______________________                                                  /      |                                                 /             _______________________                                               /             _________ | 
                 /             /             _________                                                  /       |                                                /             /             _________                                               /    11413   \/ 1334470  | 
                /   14        /    11413   \/ 1334470                   671                            /        |                                               /   14        /    11413   \/ 1334470                   671                   162*3 /   - ----- + ----------- | 
               /    -- + 2*3 /   - ----- + -----------  - --------------------------------            /         |                                      3*      /    -- + 2*3 /   - ----- + -----------  - --------------------------------        \/       5832       324     | 
              /     9      \/       5832       324                 _______________________           /          |                                             /     9      \/       5832       324                 _______________________                                    | 
             /                                                    /             _________           /           |                                            /                                                    /             _________                                     | 
            /                                                    /    11413   \/ 1334470           /            |                                           /                                                    /    11413   \/ 1334470                                      | 
           /                                              162*3 /   - ----- + -----------         /             |                                          /                                              162*3 /   - ----- + -----------                                     | 
         \/                                                   \/       5832       324           \/              |                                        \/                                                   \/       5832       324                                         | 
x2 = 1 + ---------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                 2                                                                                                                                    2                                                                                         
$$x_{2} = \frac{\sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}{2} + 1 - \frac{i \sqrt{\left|{- \frac{20}{3 \sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}} - 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}} + \frac{28}{9} + \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}\right|}}{2}$$
                                                                                                               _________________________________________________________________________________________________________________________________________________________________
                                                                                                              / |            _______________________                                                                                                                          | 
                                                                                                             /  |           /             _________                                                                                                                           | 
                                                                                                            /   |28        /    11413   \/ 1334470                                              20                                                          671               | 
                                                                                              I*           /    |-- - 2*3 /   - ----- + -----------  - ------------------------------------------------------------------------------------ + --------------------------------| 
                   ________________________________________________________________________               /     |9      \/       5832       324                    ________________________________________________________________________            _______________________| 
                  /             _______________________                                                  /      |                                                 /             _______________________                                               /             _________ | 
                 /             /             _________                                                  /       |                                                /             /             _________                                               /    11413   \/ 1334470  | 
                /   14        /    11413   \/ 1334470                   671                            /        |                                               /   14        /    11413   \/ 1334470                   671                   162*3 /   - ----- + ----------- | 
               /    -- + 2*3 /   - ----- + -----------  - --------------------------------            /         |                                      3*      /    -- + 2*3 /   - ----- + -----------  - --------------------------------        \/       5832       324     | 
              /     9      \/       5832       324                 _______________________           /          |                                             /     9      \/       5832       324                 _______________________                                    | 
             /                                                    /             _________           /           |                                            /                                                    /             _________                                     | 
            /                                                    /    11413   \/ 1334470           /            |                                           /                                                    /    11413   \/ 1334470                                      | 
           /                                              162*3 /   - ----- + -----------         /             |                                          /                                              162*3 /   - ----- + -----------                                     | 
         \/                                                   \/       5832       324           \/              |                                        \/                                                   \/       5832       324                                         | 
x3 = 1 + ---------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                 2                                                                                                                                    2                                                                                         
$$x_{3} = \frac{\sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}{2} + 1 + \frac{i \sqrt{\left|{- \frac{20}{3 \sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}} - 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}} + \frac{28}{9} + \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}\right|}}{2}$$
                                                                                                             _______________________________________________________________________________________________________________________________________________________________
                                                                                                            /             _______________________                                                                                                                           
                                                                                                           /             /             _________                                                                                                                            
                                                                                                          /   28        /    11413   \/ 1334470                                              20                                                          671                
                                                                                                         /    -- - 2*3 /   - ----- + -----------  + ------------------------------------------------------------------------------------ + -------------------------------- 
                   ________________________________________________________________________             /     9      \/       5832       324                    ________________________________________________________________________            _______________________ 
                  /             _______________________                                                /                                                       /             _______________________                                               /             _________  
                 /             /             _________                                                /                                                       /             /             _________                                               /    11413   \/ 1334470   
                /   14        /    11413   \/ 1334470                   671                          /                                                       /   14        /    11413   \/ 1334470                   671                   162*3 /   - ----- + -----------  
               /    -- + 2*3 /   - ----- + -----------  - --------------------------------          /                                               3*      /    -- + 2*3 /   - ----- + -----------  - --------------------------------        \/       5832       324      
              /     9      \/       5832       324                 _______________________         /                                                       /     9      \/       5832       324                 _______________________                                     
             /                                                    /             _________         /                                                       /                                                    /             _________                                      
            /                                                    /    11413   \/ 1334470         /                                                       /                                                    /    11413   \/ 1334470                                       
           /                                              162*3 /   - ----- + -----------       /                                                       /                                              162*3 /   - ----- + -----------                                      
         \/                                                   \/       5832       324         \/                                                      \/                                                   \/       5832       324                                          
x4 = 1 - ---------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                 2                                                                                                                                  2                                                                                       
$$x_{4} = - \frac{\sqrt{- 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}} + \frac{28}{9} + \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{20}{3 \sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}}}{2} - \frac{\sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}{2} + 1$$
x4 = -sqrt(-2*(-11413/5832 + sqrt(1334470)/324)^(1/3) + 28/9 + 671/(162*(-11413/5832 + sqrt(1334470)/324)^(1/3)) + 20/(3*sqrt(-671/(162*(-11413/5832 + sqrt(1334470)/324)^(1/3)) + 14/9 + 2*(-11413/5832 + sqrt(1334470)/324)^(1/3))))/2 - sqrt(-671/(162*(-11413/5832 + sqrt(1334470)/324)^(1/3)) + 14/9 + 2*(-11413/5832 + sqrt(1334470)/324)^(1/3))/2 + 1
Suma y producto de raíces [src]
suma
                   _______________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                  _________________________________________________________________________________________________________________________________________________________________                                                                                                             _________________________________________________________________________________________________________________________________________________________________                                                                                                           _______________________________________________________________________________________________________________________________________________________________
                  /             _______________________                                                                                                                                                                                                                                                                                                                            / |            _______________________                                                                                                                          |                                                                                                             / |            _______________________                                                                                                                          |                                                                                                           /             _______________________                                                                                                                           
                 /             /             _________                                                                                                                                                                                                                                                                                                                            /  |           /             _________                                                                                                                           |                                                                                                            /  |           /             _________                                                                                                                           |                                                                                                          /             /             _________                                                                                                                            
                /   28        /    11413   \/ 1334470                                              20                                                          671                                                                                                                                                                                                               /   |28        /    11413   \/ 1334470                                              20                                                          671               |                                                                                                           /   |28        /    11413   \/ 1334470                                              20                                                          671               |                                                                                                         /   28        /    11413   \/ 1334470                                              20                                                          671                
               /    -- - 2*3 /   - ----- + -----------  + ------------------------------------------------------------------------------------ + --------------------------------                                                                                                                                                                                  I*           /    |-- - 2*3 /   - ----- + -----------  - ------------------------------------------------------------------------------------ + --------------------------------|                                                                                             I*           /    |-- - 2*3 /   - ----- + -----------  - ------------------------------------------------------------------------------------ + --------------------------------|                                                                                                        /    -- - 2*3 /   - ----- + -----------  + ------------------------------------------------------------------------------------ + -------------------------------- 
              /     9      \/       5832       324                    ________________________________________________________________________            _______________________              ________________________________________________________________________                 ________________________________________________________________________               /     |9      \/       5832       324                    ________________________________________________________________________            _______________________|                  ________________________________________________________________________               /     |9      \/       5832       324                    ________________________________________________________________________            _______________________|                  ________________________________________________________________________             /     9      \/       5832       324                    ________________________________________________________________________            _______________________ 
             /                                                       /             _______________________                                               /             _________              /             _______________________                                                    /             _______________________                                                  /      |                                                 /             _______________________                                               /             _________ |                 /             _______________________                                                  /      |                                                 /             _______________________                                               /             _________ |                 /             _______________________                                                /                                                       /             _______________________                                               /             _________  
            /                                                       /             /             _________                                               /    11413   \/ 1334470              /             /             _________                                                    /             /             _________                                                  /       |                                                /             /             _________                                               /    11413   \/ 1334470  |                /             /             _________                                                  /       |                                                /             /             _________                                               /    11413   \/ 1334470  |                /             /             _________                                                /                                                       /             /             _________                                               /    11413   \/ 1334470   
           /                                                       /   14        /    11413   \/ 1334470                   671                   162*3 /   - ----- + -----------            /   14        /    11413   \/ 1334470                   671                              /   14        /    11413   \/ 1334470                   671                            /        |                                               /   14        /    11413   \/ 1334470                   671                   162*3 /   - ----- + ----------- |               /   14        /    11413   \/ 1334470                   671                            /        |                                               /   14        /    11413   \/ 1334470                   671                   162*3 /   - ----- + ----------- |               /   14        /    11413   \/ 1334470                   671                          /                                                       /   14        /    11413   \/ 1334470                   671                   162*3 /   - ----- + -----------  
          /                                               3*      /    -- + 2*3 /   - ----- + -----------  - --------------------------------        \/       5832       324               /    -- + 2*3 /   - ----- + -----------  - --------------------------------              /    -- + 2*3 /   - ----- + -----------  - --------------------------------            /         |                                      3*      /    -- + 2*3 /   - ----- + -----------  - --------------------------------        \/       5832       324     |              /    -- + 2*3 /   - ----- + -----------  - --------------------------------            /         |                                      3*      /    -- + 2*3 /   - ----- + -----------  - --------------------------------        \/       5832       324     |              /    -- + 2*3 /   - ----- + -----------  - --------------------------------          /                                               3*      /    -- + 2*3 /   - ----- + -----------  - --------------------------------        \/       5832       324      
         /                                                       /     9      \/       5832       324                 _______________________                                             /     9      \/       5832       324                 _______________________             /     9      \/       5832       324                 _______________________           /          |                                             /     9      \/       5832       324                 _______________________                                    |             /     9      \/       5832       324                 _______________________           /          |                                             /     9      \/       5832       324                 _______________________                                    |             /     9      \/       5832       324                 _______________________         /                                                       /     9      \/       5832       324                 _______________________                                     
        /                                                       /                                                    /             _________                                             /                                                    /             _________             /                                                    /             _________           /           |                                            /                                                    /             _________                                     |            /                                                    /             _________           /           |                                            /                                                    /             _________                                     |            /                                                    /             _________         /                                                       /                                                    /             _________                                      
       /                                                       /                                                    /    11413   \/ 1334470                                             /                                                    /    11413   \/ 1334470             /                                                    /    11413   \/ 1334470           /            |                                           /                                                    /    11413   \/ 1334470                                      |           /                                                    /    11413   \/ 1334470           /            |                                           /                                                    /    11413   \/ 1334470                                      |           /                                                    /    11413   \/ 1334470         /                                                       /                                                    /    11413   \/ 1334470                                       
      /                                                       /                                              162*3 /   - ----- + -----------                                           /                                              162*3 /   - ----- + -----------           /                                              162*3 /   - ----- + -----------         /             |                                          /                                              162*3 /   - ----- + -----------                                     |          /                                              162*3 /   - ----- + -----------         /             |                                          /                                              162*3 /   - ----- + -----------                                     |          /                                              162*3 /   - ----- + -----------       /                                                       /                                              162*3 /   - ----- + -----------                                      
    \/                                                      \/                                                   \/       5832       324                                             \/                                                   \/       5832       324             \/                                                   \/       5832       324           \/              |                                        \/                                                   \/       5832       324                                         |        \/                                                   \/       5832       324           \/              |                                        \/                                                   \/       5832       324                                         |        \/                                                   \/       5832       324         \/                                                      \/                                                   \/       5832       324                                          
1 + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ---------------------------------------------------------------------------------- + 1 + ---------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + 1 + ---------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + 1 - ---------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                          2                                                                                                                                  2                                                                                        2                                                                                                                                    2                                                                                                                                        2                                                                                                                                    2                                                                                                                                        2                                                                                                                                  2                                                                                       
$$\left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}} + \frac{28}{9} + \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{20}{3 \sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}}}{2} - \frac{\sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}{2} + 1\right) + \left(\left(\left(- \frac{\sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}{2} + 1 + \frac{\sqrt{- 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}} + \frac{28}{9} + \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{20}{3 \sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}}}{2}\right) + \left(\frac{\sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}{2} + 1 - \frac{i \sqrt{\left|{- \frac{20}{3 \sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}} - 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}} + \frac{28}{9} + \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}\right|}}{2}\right)\right) + \left(\frac{\sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}{2} + 1 + \frac{i \sqrt{\left|{- \frac{20}{3 \sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}} - 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}} + \frac{28}{9} + \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}\right|}}{2}\right)\right)$$
=
4
$$4$$
producto
/                   _______________________________________________________________________________________________________________________________________________________________                                                                                     \ /                                                                                                          _________________________________________________________________________________________________________________________________________________________________\ /                                                                                                          _________________________________________________________________________________________________________________________________________________________________\ /                                                                                                        _______________________________________________________________________________________________________________________________________________________________\
|                  /             _______________________                                                                                                                                                                                                                | |                                                                                                         / |            _______________________                                                                                                                          | | |                                                                                                         / |            _______________________                                                                                                                          | | |                                                                                                       /             _______________________                                                                                                                           |
|                 /             /             _________                                                                                                                                                                                                                 | |                                                                                                        /  |           /             _________                                                                                                                           | | |                                                                                                        /  |           /             _________                                                                                                                           | | |                                                                                                      /             /             _________                                                                                                                            |
|                /   28        /    11413   \/ 1334470                                              20                                                          671                                                                                                     | |                                                                                                       /   |28        /    11413   \/ 1334470                                              20                                                          671               | | |                                                                                                       /   |28        /    11413   \/ 1334470                                              20                                                          671               | | |                                                                                                     /   28        /    11413   \/ 1334470                                              20                                                          671                |
|               /    -- - 2*3 /   - ----- + -----------  + ------------------------------------------------------------------------------------ + --------------------------------                                                                                      | |                                                                                         I*           /    |-- - 2*3 /   - ----- + -----------  - ------------------------------------------------------------------------------------ + --------------------------------| | |                                                                                         I*           /    |-- - 2*3 /   - ----- + -----------  - ------------------------------------------------------------------------------------ + --------------------------------| | |                                                                                                    /    -- - 2*3 /   - ----- + -----------  + ------------------------------------------------------------------------------------ + -------------------------------- |
|              /     9      \/       5832       324                    ________________________________________________________________________            _______________________              ________________________________________________________________________| |              ________________________________________________________________________               /     |9      \/       5832       324                    ________________________________________________________________________            _______________________| | |              ________________________________________________________________________               /     |9      \/       5832       324                    ________________________________________________________________________            _______________________| | |              ________________________________________________________________________             /     9      \/       5832       324                    ________________________________________________________________________            _______________________ |
|             /                                                       /             _______________________                                               /             _________              /             _______________________                                    | |             /             _______________________                                                  /      |                                                 /             _______________________                                               /             _________ | | |             /             _______________________                                                  /      |                                                 /             _______________________                                               /             _________ | | |             /             _______________________                                                /                                                       /             _______________________                                               /             _________  |
|            /                                                       /             /             _________                                               /    11413   \/ 1334470              /             /             _________                                     | |            /             /             _________                                                  /       |                                                /             /             _________                                               /    11413   \/ 1334470  | | |            /             /             _________                                                  /       |                                                /             /             _________                                               /    11413   \/ 1334470  | | |            /             /             _________                                                /                                                       /             /             _________                                               /    11413   \/ 1334470   |
|           /                                                       /   14        /    11413   \/ 1334470                   671                   162*3 /   - ----- + -----------            /   14        /    11413   \/ 1334470                   671                | |           /   14        /    11413   \/ 1334470                   671                            /        |                                               /   14        /    11413   \/ 1334470                   671                   162*3 /   - ----- + ----------- | | |           /   14        /    11413   \/ 1334470                   671                            /        |                                               /   14        /    11413   \/ 1334470                   671                   162*3 /   - ----- + ----------- | | |           /   14        /    11413   \/ 1334470                   671                          /                                                       /   14        /    11413   \/ 1334470                   671                   162*3 /   - ----- + -----------  |
|          /                                               3*      /    -- + 2*3 /   - ----- + -----------  - --------------------------------        \/       5832       324               /    -- + 2*3 /   - ----- + -----------  - -------------------------------- | |          /    -- + 2*3 /   - ----- + -----------  - --------------------------------            /         |                                      3*      /    -- + 2*3 /   - ----- + -----------  - --------------------------------        \/       5832       324     | | |          /    -- + 2*3 /   - ----- + -----------  - --------------------------------            /         |                                      3*      /    -- + 2*3 /   - ----- + -----------  - --------------------------------        \/       5832       324     | | |          /    -- + 2*3 /   - ----- + -----------  - --------------------------------          /                                               3*      /    -- + 2*3 /   - ----- + -----------  - --------------------------------        \/       5832       324      |
|         /                                                       /     9      \/       5832       324                 _______________________                                             /     9      \/       5832       324                 _______________________ | |         /     9      \/       5832       324                 _______________________           /          |                                             /     9      \/       5832       324                 _______________________                                    | | |         /     9      \/       5832       324                 _______________________           /          |                                             /     9      \/       5832       324                 _______________________                                    | | |         /     9      \/       5832       324                 _______________________         /                                                       /     9      \/       5832       324                 _______________________                                     |
|        /                                                       /                                                    /             _________                                             /                                                    /             _________  | |        /                                                    /             _________           /           |                                            /                                                    /             _________                                     | | |        /                                                    /             _________           /           |                                            /                                                    /             _________                                     | | |        /                                                    /             _________         /                                                       /                                                    /             _________                                      |
|       /                                                       /                                                    /    11413   \/ 1334470                                             /                                                    /    11413   \/ 1334470   | |       /                                                    /    11413   \/ 1334470           /            |                                           /                                                    /    11413   \/ 1334470                                      | | |       /                                                    /    11413   \/ 1334470           /            |                                           /                                                    /    11413   \/ 1334470                                      | | |       /                                                    /    11413   \/ 1334470         /                                                       /                                                    /    11413   \/ 1334470                                       |
|      /                                                       /                                              162*3 /   - ----- + -----------                                           /                                              162*3 /   - ----- + -----------  | |      /                                              162*3 /   - ----- + -----------         /             |                                          /                                              162*3 /   - ----- + -----------                                     | | |      /                                              162*3 /   - ----- + -----------         /             |                                          /                                              162*3 /   - ----- + -----------                                     | | |      /                                              162*3 /   - ----- + -----------       /                                                       /                                              162*3 /   - ----- + -----------                                      |
|    \/                                                      \/                                                   \/       5832       324                                             \/                                                   \/       5832       324      | |    \/                                                   \/       5832       324           \/              |                                        \/                                                   \/       5832       324                                         | | |    \/                                                   \/       5832       324           \/              |                                        \/                                                   \/       5832       324                                         | | |    \/                                                   \/       5832       324         \/                                                      \/                                                   \/       5832       324                                          |
|1 + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ----------------------------------------------------------------------------------|*|1 + ---------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|1 + ---------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|1 - ---------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\                                                                                          2                                                                                                                                  2                                         / \                                            2                                                                                                                                    2                                                                                         / \                                            2                                                                                                                                    2                                                                                         / \                                            2                                                                                                                                  2                                                                                       /
$$\left(- \frac{\sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}{2} + 1 + \frac{\sqrt{- 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}} + \frac{28}{9} + \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{20}{3 \sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}}}{2}\right) \left(\frac{\sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}{2} + 1 - \frac{i \sqrt{\left|{- \frac{20}{3 \sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}} - 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}} + \frac{28}{9} + \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}\right|}}{2}\right) \left(\frac{\sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}{2} + 1 + \frac{i \sqrt{\left|{- \frac{20}{3 \sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}} - 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}} + \frac{28}{9} + \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}\right|}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}} + \frac{28}{9} + \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{20}{3 \sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}}}{2} - \frac{\sqrt{- \frac{671}{162 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}} + \frac{14}{9} + 2 \sqrt[3]{- \frac{11413}{5832} + \frac{\sqrt{1334470}}{324}}}}{2} + 1\right)$$
=
   /                                                                                    _________________________                                                    2/3                                                 2/3                            _________________________\
   |                      ___                   _________                  _________ 3 /               _________                  _________ /              _________\                       ___ /              _________\                        ___ 3 /               _________ |
34*\- 10930909235575307*\/ 3  + 9941860606986*\/ 4003410  - 207430772724*\/ 4003410 *\/  -11413 + 18*\/ 1334470   - 14816483766*\/ 4003410 *\-11413 + 18*\/ 1334470 /    + 16290475760917*\/ 3 *\-11413 + 18*\/ 1334470 /    + 228066660652838*\/ 3 *\/  -11413 + 18*\/ 1334470  /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                           ______________________________________________________________________________________________________________________________________________                                         
                                                                                          /                  _________________________                                2/3                                      _________________________                                          
                                           /                                _________\   /                3 /               _________        /              _________\            _________       _________ 3 /               _________                                           
                                         9*\-16290475760917 + 14816483766*\/ 1334470 /*\/   43559 - 10067*\/  -11413 + 18*\/ 1334470   - 382*\-11413 + 18*\/ 1334470 /    + 168*\/ 1334470  + 6*\/ 1334470 *\/  -11413 + 18*\/ 1334470                                            
$$\frac{34 \left(- 10930909235575307 \sqrt{3} - 14816483766 \sqrt{4003410} \left(-11413 + 18 \sqrt{1334470}\right)^{\frac{2}{3}} - 207430772724 \sqrt{4003410} \sqrt[3]{-11413 + 18 \sqrt{1334470}} + 228066660652838 \sqrt{3} \sqrt[3]{-11413 + 18 \sqrt{1334470}} + 16290475760917 \sqrt{3} \left(-11413 + 18 \sqrt{1334470}\right)^{\frac{2}{3}} + 9941860606986 \sqrt{4003410}\right)}{9 \left(-16290475760917 + 14816483766 \sqrt{1334470}\right) \sqrt{- 10067 \sqrt[3]{-11413 + 18 \sqrt{1334470}} - 382 \left(-11413 + 18 \sqrt{1334470}\right)^{\frac{2}{3}} + 43559 + 6 \sqrt{1334470} \sqrt[3]{-11413 + 18 \sqrt{1334470}} + 168 \sqrt{1334470}}}$$
34*(-10930909235575307*sqrt(3) + 9941860606986*sqrt(4003410) - 207430772724*sqrt(4003410)*(-11413 + 18*sqrt(1334470))^(1/3) - 14816483766*sqrt(4003410)*(-11413 + 18*sqrt(1334470))^(2/3) + 16290475760917*sqrt(3)*(-11413 + 18*sqrt(1334470))^(2/3) + 228066660652838*sqrt(3)*(-11413 + 18*sqrt(1334470))^(1/3))/(9*(-16290475760917 + 14816483766*sqrt(1334470))*sqrt(43559 - 10067*(-11413 + 18*sqrt(1334470))^(1/3) - 382*(-11413 + 18*sqrt(1334470))^(2/3) + 168*sqrt(1334470) + 6*sqrt(1334470)*(-11413 + 18*sqrt(1334470))^(1/3)))
Respuesta numérica [src]
x1 = 2.65781527451727
x2 = -1.26093305650364
x3 = 1.30155889099318 + 1.29911097163042*i
x4 = 1.30155889099318 - 1.29911097163042*i
x4 = 1.30155889099318 - 1.29911097163042*i