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Equation:
Equation 3*x^2-8*x-3=0
Equation x^3=9
Equation z^4+z^2+1=0
Equation z^3=-i
Express {x} in terms of y where:
-10*x+5*y=10
-18*x+16*y=4
6*x+9*y=15
-8*x-15*y=-12
Identical expressions
x^ four - two *x+ sixteen = zero
x to the power of 4 minus 2 multiply by x plus 16 equally 0
x to the power of four minus two multiply by x plus sixteen equally zero
x4-2*x+16=0
x⁴-2*x+16=0
x^4-2x+16=0
x4-2x+16=0
x^4-2*x+16=O
Similar expressions
x^4+2*x+16=0
x^4-2*x-16=0

x^4-2*x+16=0 equation

The teacher will be very surprised to see your correct solution 😉

The solution

You have entered [src]

 4               
x  - 2*x + 16 = 0

$$\left(x^{4} - 2 x\right) + 16 = 0$$

Simplify

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

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                                                                                         /        /  1   I*\/ 196527                                     4                                               32            
                                                                           I*           /    2*3 /   - + ------------  + ----------------------------------------------------------------- + ------------------------- 
                 _______________________________________________________               /       \/    4        36                   _______________________________________________________          __________________ 
                /        __________________                                           /                                           /        __________________                                      /         ________  
               /        /         ________                                           /                                           /        /         ________                                      /  1   I*\/ 196527   
              /        /  1   I*\/ 196527                 32                        /                                           /        /  1   I*\/ 196527                 32               3*3 /   - + ------------  
             /    2*3 /   - + ------------  + -------------------------            /                                           /    2*3 /   - + ------------  + -------------------------      \/    4        36       
            /       \/    4        36                __________________           /                                           /       \/    4        36                __________________                              
           /                                        /         ________           /                                           /                                        /         ________                               
          /                                        /  1   I*\/ 196527           /                                           /                                        /  1   I*\/ 196527                                
         /                                    3*3 /   - + ------------         /                                           /                                    3*3 /   - + ------------                               
       \/                                       \/    4        36            \/                                          \/                                       \/    4        36                                    
x1 = - ----------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------
                                       2                                                                                                        2

$$x_{1} = - \frac{i \sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + \frac{4}{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2} - \frac{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2}$$

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                                                                                       /                                     4                                        /  1   I*\/ 196527                 32            
                                                                         I*           /    - ----------------------------------------------------------------- + 2*3 /   - + ------------  + ------------------------- 
               _______________________________________________________               /                 _______________________________________________________     \/    4        36                __________________ 
              /        __________________                                           /                 /        __________________                                                                  /         ________  
             /        /         ________                                           /                 /        /         ________                                                                  /  1   I*\/ 196527   
            /        /  1   I*\/ 196527                 32                        /                 /        /  1   I*\/ 196527                 32                                           3*3 /   - + ------------  
           /    2*3 /   - + ------------  + -------------------------            /                 /    2*3 /   - + ------------  + -------------------------                                  \/    4        36       
          /       \/    4        36                __________________           /                 /       \/    4        36                __________________                                                          
         /                                        /         ________           /                 /                                        /         ________                                                           
        /                                        /  1   I*\/ 196527           /                 /                                        /  1   I*\/ 196527                                                            
       /                                    3*3 /   - + ------------         /                 /                                    3*3 /   - + ------------                                                           
     \/                                       \/    4        36            \/                \/                                       \/    4        36                                                                
x2 = ----------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------
                                     2                                                                                                         2

$$x_{2} = - \frac{i \sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} - \frac{4}{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2} + \frac{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2}$$

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                                                                                         /        /  1   I*\/ 196527                                     4                                               32            
                                                                           I*           /    2*3 /   - + ------------  + ----------------------------------------------------------------- + ------------------------- 
                 _______________________________________________________               /       \/    4        36                   _______________________________________________________          __________________ 
                /        __________________                                           /                                           /        __________________                                      /         ________  
               /        /         ________                                           /                                           /        /         ________                                      /  1   I*\/ 196527   
              /        /  1   I*\/ 196527                 32                        /                                           /        /  1   I*\/ 196527                 32               3*3 /   - + ------------  
             /    2*3 /   - + ------------  + -------------------------            /                                           /    2*3 /   - + ------------  + -------------------------      \/    4        36       
            /       \/    4        36                __________________           /                                           /       \/    4        36                __________________                              
           /                                        /         ________           /                                           /                                        /         ________                               
          /                                        /  1   I*\/ 196527           /                                           /                                        /  1   I*\/ 196527                                
         /                                    3*3 /   - + ------------         /                                           /                                    3*3 /   - + ------------                               
       \/                                       \/    4        36            \/                                          \/                                       \/    4        36                                    
x3 = - ----------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------
                                       2                                                                                                        2

$$x_{3} = - \frac{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2} + \frac{i \sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + \frac{4}{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2}$$

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                                                                                       /                                     4                                        /  1   I*\/ 196527                 32            
                                                                         I*           /    - ----------------------------------------------------------------- + 2*3 /   - + ------------  + ------------------------- 
               _______________________________________________________               /                 _______________________________________________________     \/    4        36                __________________ 
              /        __________________                                           /                 /        __________________                                                                  /         ________  
             /        /         ________                                           /                 /        /         ________                                                                  /  1   I*\/ 196527   
            /        /  1   I*\/ 196527                 32                        /                 /        /  1   I*\/ 196527                 32                                           3*3 /   - + ------------  
           /    2*3 /   - + ------------  + -------------------------            /                 /    2*3 /   - + ------------  + -------------------------                                  \/    4        36       
          /       \/    4        36                __________________           /                 /       \/    4        36                __________________                                                          
         /                                        /         ________           /                 /                                        /         ________                                                           
        /                                        /  1   I*\/ 196527           /                 /                                        /  1   I*\/ 196527                                                            
       /                                    3*3 /   - + ------------         /                 /                                    3*3 /   - + ------------                                                           
     \/                                       \/    4        36            \/                \/                                       \/    4        36                                                                
x4 = ----------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------
                                     2                                                                                                         2

$$x_{4} = \frac{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2} + \frac{i \sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} - \frac{4}{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2}$$

x4 = sqrt(32/(3*(1/4 + sqrt(196527)*i/36)^(1/3)) + 2*(1/4 + sqrt(196527)*i/36)^(1/3))/2 + i*sqrt(32/(3*(1/4 + sqrt(196527)*i/36)^(1/3)) - 4/sqrt(32/(3*(1/4 + sqrt(196527)*i/36)^(1/3)) + 2*(1/4 + sqrt(196527)*i/36)^(1/3)) + 2*(1/4 + sqrt(196527)*i/36)^(1/3))/2

Sum and product of roots [src]

sum

                                                                                       ___________________________________________________________________________________________________________________________                                                                                        _____________________________________________________________________________________________________________________________                                                                                          ___________________________________________________________________________________________________________________________                                                                                        _____________________________________________________________________________________________________________________________
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                                                                                    /        /  1   I*\/ 196527                                     4                                               32                                                                                                 /                                     4                                        /  1   I*\/ 196527                 32                                                                                                   /        /  1   I*\/ 196527                                     4                                               32                                                                                                 /                                     4                                        /  1   I*\/ 196527                 32            
                                                                      I*           /    2*3 /   - + ------------  + ----------------------------------------------------------------- + -------------------------                                                                        I*           /    - ----------------------------------------------------------------- + 2*3 /   - + ------------  + -------------------------                                                                          I*           /    2*3 /   - + ------------  + ----------------------------------------------------------------- + -------------------------                                                                        I*           /    - ----------------------------------------------------------------- + 2*3 /   - + ------------  + ------------------------- 
            _______________________________________________________               /       \/    4        36                   _______________________________________________________          __________________              _______________________________________________________               /                 _______________________________________________________     \/    4        36                __________________                _______________________________________________________               /       \/    4        36                   _______________________________________________________          __________________              _______________________________________________________               /                 _______________________________________________________     \/    4        36                __________________ 
           /        __________________                                           /                                           /        __________________                                      /         ________              /        __________________                                           /                 /        __________________                                                                  /         ________                /        __________________                                           /                                           /        __________________                                      /         ________              /        __________________                                           /                 /        __________________                                                                  /         ________  
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         /        /  1   I*\/ 196527                 32                        /                                           /        /  1   I*\/ 196527                 32               3*3 /   - + ------------            /        /  1   I*\/ 196527                 32                        /                 /        /  1   I*\/ 196527                 32                                           3*3 /   - + ------------              /        /  1   I*\/ 196527                 32                        /                                           /        /  1   I*\/ 196527                 32               3*3 /   - + ------------            /        /  1   I*\/ 196527                 32                        /                 /        /  1   I*\/ 196527                 32                                           3*3 /   - + ------------  
        /    2*3 /   - + ------------  + -------------------------            /                                           /    2*3 /   - + ------------  + -------------------------      \/    4        36                /    2*3 /   - + ------------  + -------------------------            /                 /    2*3 /   - + ------------  + -------------------------                                  \/    4        36                  /    2*3 /   - + ------------  + -------------------------            /                                           /    2*3 /   - + ------------  + -------------------------      \/    4        36                /    2*3 /   - + ------------  + -------------------------            /                 /    2*3 /   - + ------------  + -------------------------                                  \/    4        36       
       /       \/    4        36                __________________           /                                           /       \/    4        36                __________________                                      /       \/    4        36                __________________           /                 /       \/    4        36                __________________                                                                    /       \/    4        36                __________________           /                                           /       \/    4        36                __________________                                      /       \/    4        36                __________________           /                 /       \/    4        36                __________________                                                          
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     /                                        /  1   I*\/ 196527           /                                           /                                        /  1   I*\/ 196527                                      /                                        /  1   I*\/ 196527           /                 /                                        /  1   I*\/ 196527                                                                    /                                        /  1   I*\/ 196527           /                                           /                                        /  1   I*\/ 196527                                      /                                        /  1   I*\/ 196527           /                 /                                        /  1   I*\/ 196527                                                            
    /                                    3*3 /   - + ------------         /                                           /                                    3*3 /   - + ------------                                    /                                    3*3 /   - + ------------         /                 /                                    3*3 /   - + ------------                                                                  /                                    3*3 /   - + ------------         /                                           /                                    3*3 /   - + ------------                                    /                                    3*3 /   - + ------------         /                 /                                    3*3 /   - + ------------                                                           
  \/                                       \/    4        36            \/                                          \/                                       \/    4        36                                       \/                                       \/    4        36            \/                \/                                       \/    4        36                                                                     \/                                       \/    4        36            \/                                          \/                                       \/    4        36                                       \/                                       \/    4        36            \/                \/                                       \/    4        36                                                                
- ----------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------- + - ----------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------
                                  2                                                                                                        2                                                                                                         2                                                                                                         2                                                                                                            2                                                                                                        2                                                                                                         2                                                                                                         2

$$\left(\left(\left(- \frac{i \sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + \frac{4}{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2} - \frac{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2}\right) + \left(- \frac{i \sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} - \frac{4}{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2} + \frac{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2}\right)\right) + \left(- \frac{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2} + \frac{i \sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + \frac{4}{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2}\right)\right) + \left(\frac{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2} + \frac{i \sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} - \frac{4}{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2}\right)$$

$$0$$

product

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|                                                                                     /        /         ________                                                                                                  | |                                                                                   /                                                                              /         ________                              | |                                                                                     /        /         ________                                                                                                  | |                                                                                   /                                                                              /         ________                              |
|                                                                                    /        /  1   I*\/ 196527                                     4                                               32            | |                                                                                  /                                     4                                        /  1   I*\/ 196527                 32            | |                                                                                    /        /  1   I*\/ 196527                                     4                                               32            | |                                                                                  /                                     4                                        /  1   I*\/ 196527                 32            |
|                                                                      I*           /    2*3 /   - + ------------  + ----------------------------------------------------------------- + ------------------------- | |                                                                    I*           /    - ----------------------------------------------------------------- + 2*3 /   - + ------------  + ------------------------- | |                                                                      I*           /    2*3 /   - + ------------  + ----------------------------------------------------------------- + ------------------------- | |                                                                    I*           /    - ----------------------------------------------------------------- + 2*3 /   - + ------------  + ------------------------- |
|            _______________________________________________________               /       \/    4        36                   _______________________________________________________          __________________ | |          _______________________________________________________               /                 _______________________________________________________     \/    4        36                __________________ | |            _______________________________________________________               /       \/    4        36                   _______________________________________________________          __________________ | |          _______________________________________________________               /                 _______________________________________________________     \/    4        36                __________________ |
|           /        __________________                                           /                                           /        __________________                                      /         ________  | |         /        __________________                                           /                 /        __________________                                                                  /         ________  | |           /        __________________                                           /                                           /        __________________                                      /         ________  | |         /        __________________                                           /                 /        __________________                                                                  /         ________  |
|          /        /         ________                                           /                                           /        /         ________                                      /  1   I*\/ 196527   | |        /        /         ________                                           /                 /        /         ________                                                                  /  1   I*\/ 196527   | |          /        /         ________                                           /                                           /        /         ________                                      /  1   I*\/ 196527   | |        /        /         ________                                           /                 /        /         ________                                                                  /  1   I*\/ 196527   |
|         /        /  1   I*\/ 196527                 32                        /                                           /        /  1   I*\/ 196527                 32               3*3 /   - + ------------  | |       /        /  1   I*\/ 196527                 32                        /                 /        /  1   I*\/ 196527                 32                                           3*3 /   - + ------------  | |         /        /  1   I*\/ 196527                 32                        /                                           /        /  1   I*\/ 196527                 32               3*3 /   - + ------------  | |       /        /  1   I*\/ 196527                 32                        /                 /        /  1   I*\/ 196527                 32                                           3*3 /   - + ------------  |
|        /    2*3 /   - + ------------  + -------------------------            /                                           /    2*3 /   - + ------------  + -------------------------      \/    4        36       | |      /    2*3 /   - + ------------  + -------------------------            /                 /    2*3 /   - + ------------  + -------------------------                                  \/    4        36       | |        /    2*3 /   - + ------------  + -------------------------            /                                           /    2*3 /   - + ------------  + -------------------------      \/    4        36       | |      /    2*3 /   - + ------------  + -------------------------            /                 /    2*3 /   - + ------------  + -------------------------                                  \/    4        36       |
|       /       \/    4        36                __________________           /                                           /       \/    4        36                __________________                              | |     /       \/    4        36                __________________           /                 /       \/    4        36                __________________                                                          | |       /       \/    4        36                __________________           /                                           /       \/    4        36                __________________                              | |     /       \/    4        36                __________________           /                 /       \/    4        36                __________________                                                          |
|      /                                        /         ________           /                                           /                                        /         ________                               | |    /                                        /         ________           /                 /                                        /         ________                                                           | |      /                                        /         ________           /                                           /                                        /         ________                               | |    /                                        /         ________           /                 /                                        /         ________                                                           |
|     /                                        /  1   I*\/ 196527           /                                           /                                        /  1   I*\/ 196527                                | |   /                                        /  1   I*\/ 196527           /                 /                                        /  1   I*\/ 196527                                                            | |     /                                        /  1   I*\/ 196527           /                                           /                                        /  1   I*\/ 196527                                | |   /                                        /  1   I*\/ 196527           /                 /                                        /  1   I*\/ 196527                                                            |
|    /                                    3*3 /   - + ------------         /                                           /                                    3*3 /   - + ------------                               | |  /                                    3*3 /   - + ------------         /                 /                                    3*3 /   - + ------------                                                           | |    /                                    3*3 /   - + ------------         /                                           /                                    3*3 /   - + ------------                               | |  /                                    3*3 /   - + ------------         /                 /                                    3*3 /   - + ------------                                                           |
|  \/                                       \/    4        36            \/                                          \/                                       \/    4        36                                    | |\/                                       \/    4        36            \/                \/                                       \/    4        36                                                                | |  \/                                       \/    4        36            \/                                          \/                                       \/    4        36                                    | |\/                                       \/    4        36            \/                \/                                       \/    4        36                                                                |
|- ----------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------|*|----------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------|*|- ----------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------|*|----------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------|
\                                  2                                                                                                        2                                                                      / \                                2                                                                                                         2                                                                       / \                                  2                                                                                                        2                                                                      / \                                2                                                                                                         2                                                                       /

$$\left(- \frac{i \sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} - \frac{4}{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2} + \frac{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2}\right) \left(- \frac{i \sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + \frac{4}{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2} - \frac{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2}\right) \left(- \frac{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2} + \frac{i \sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + \frac{4}{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2}\right) \left(\frac{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2} + \frac{i \sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} - \frac{4}{\sqrt{\frac{32}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{196527} i}{36}}}}{2}\right)$$

$$16$$

Numerical answer [src]

x1 = 1.41695701926493 - 1.28642852118969*i

x2 = -1.41695701926493 - 1.5364361518651*i

x3 = 1.41695701926493 + 1.28642852118969*i

x4 = -1.41695701926493 + 1.5364361518651*i

x4 = -1.41695701926493 + 1.5364361518651*i

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x^4-2*x+16=0 equation

Numerical solution:

The solution