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Equation:
Equation 3x-1=2x
Equation -x^2+6*x-7=0
Equation -x^3+4*x^2+4*x-16=0
Equation x/7=6
Express {x} in terms of y where:
-10*x+4*y=16
-18*x-6*y=10
-2*x-3*y=10
10*x+12*y=-12
Sum of series:
10
Derivative of:
10
Integral of d{x}:
10
Identical expressions
(x^ two - twenty-five)^ two +(x^ two + three *x- ten)^ two = ten
(x squared minus 25) squared plus (x squared plus 3 multiply by x minus 10) squared equally 10
(x to the power of two minus twenty minus five) to the power of two plus (x to the power of two plus three multiply by x minus ten) to the power of two equally ten
(x2-25)2+(x2+3*x-10)2=10
x2-252+x2+3*x-102=10
(x²-25)²+(x²+3*x-10)²=10
(x to the power of 2-25) to the power of 2+(x to the power of 2+3*x-10) to the power of 2=10
(x^2-25)^2+(x^2+3x-10)^2=10
(x2-25)2+(x2+3x-10)2=10
x2-252+x2+3x-102=10
x^2-25^2+x^2+3x-10^2=10
Similar expressions
(x^2-25)^2+(x^2-3*x-10)^2=10
(x^2-25)^2-(x^2+3*x-10)^2=10
(x^2-25)^2+(x^2+3*x+10)^2=10
(x^2+25)^2+(x^2+3*x-10)^2=10

(x^2-25)^2+(x^2+3*x-10)^2=10 equation

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

The solution

You have entered [src]

         2                  2     
/ 2     \    / 2           \      
\x  - 25/  + \x  + 3*x - 10/  = 10

$$\left(x^{2} - 25\right)^{2} + \left(\left(x^{2} + 3 x\right) - 10\right)^{2} = 10$$

Simplify

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

                                                                                                                   _______________________________________________________________________________________________________________________________________________________________________
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                                                                                                                /   271        /  3259169   \/ 853062330                   21961                                                           153                                            
                                                                                                               /    --- - 2*3 /   ------- + -------------  - --------------------------------- + ---------------------------------------------------------------------------------------- 
                     ____________________________________________________________________________             /      6      \/      1728         288                 _________________________               ____________________________________________________________________________ 
                    /              _________________________                                                 /                                                      /             ___________               /              _________________________                                      
                   /              /             ___________                                                 /                                                      /  3259169   \/ 853062330               /              /             ___________                                       
                  /   271        /  3259169   \/ 853062330                   21961                         /                                                 72*3 /   ------- + -------------             /   271        /  3259169   \/ 853062330                   21961                
                 /    --- + 2*3 /   ------- + -------------  + ---------------------------------          /                                                     \/      1728         288         4*      /    --- + 2*3 /   ------- + -------------  + ---------------------------------  
                /      12     \/      1728         288                 _________________________         /                                                                                              /      12     \/      1728         288                 _________________________  
               /                                                      /             ___________         /                                                                                              /                                                      /             ___________   
              /                                                      /  3259169   \/ 853062330         /                                                                                              /                                                      /  3259169   \/ 853062330    
             /                                                 72*3 /   ------- + -------------       /                                                                                              /                                                 72*3 /   ------- + -------------   
       3   \/                                                     \/      1728         288          \/                                                                                             \/                                                     \/      1728         288        
x1 = - - - -------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       4                                             2                                                                                                                                        2

$$x_{1} = - \frac{\sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2} - \frac{3}{4} - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}} - \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + \frac{153}{4 \sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}} + \frac{271}{6}}}{2}$$

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                       /   271        /  3259169   \/ 853062330                   21961                                                           153                                                                                                                                     
                      /    --- - 2*3 /   ------- + -------------  - --------------------------------- + ----------------------------------------------------------------------------------------                                                                                          
                     /      6      \/      1728         288                 _________________________               ____________________________________________________________________________              ____________________________________________________________________________
                    /                                                      /             ___________               /              _________________________                                                  /              _________________________                                     
                   /                                                      /  3259169   \/ 853062330               /              /             ___________                                                  /              /             ___________                                      
                  /                                                 72*3 /   ------- + -------------             /   271        /  3259169   \/ 853062330                   21961                          /   271        /  3259169   \/ 853062330                   21961               
                 /                                                     \/      1728         288         4*      /    --- + 2*3 /   ------- + -------------  + ---------------------------------           /    --- + 2*3 /   ------- + -------------  + --------------------------------- 
                /                                                                                              /      12     \/      1728         288                 _________________________          /      12     \/      1728         288                 _________________________ 
               /                                                                                              /                                                      /             ___________          /                                                      /             ___________  
              /                                                                                              /                                                      /  3259169   \/ 853062330          /                                                      /  3259169   \/ 853062330   
             /                                                                                              /                                                 72*3 /   ------- + -------------        /                                                 72*3 /   ------- + -------------  
       3   \/                                                                                             \/                                                     \/      1728         288           \/                                                     \/      1728         288       
x2 = - - + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------
       4                                                                                             2                                                                                                                                        2

$$x_{2} = - \frac{\sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2} - \frac{3}{4} + \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}} - \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + \frac{153}{4 \sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}} + \frac{271}{6}}}{2}$$

                                                                                                                     _________________________________________________________________________________________________________________________________________________________________________
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                                                                                                                  /     271        /  3259169   \/ 853062330                                               153                                                            21961               
                                                                                                    I*           /    - --- + 2*3 /   ------- + -------------  + ---------------------------------------------------------------------------------------- + --------------------------------- 
                     ____________________________________________________________________________               /        6      \/      1728         288                     ____________________________________________________________________________           _________________________ 
                    /              _________________________                                                   /                                                            /              _________________________                                               /             ___________  
                   /              /             ___________                                                   /                                                            /              /             ___________                                               /  3259169   \/ 853062330   
                  /   271        /  3259169   \/ 853062330                   21961                           /                                                            /   271        /  3259169   \/ 853062330                   21961                  72*3 /   ------- + -------------  
                 /    --- + 2*3 /   ------- + -------------  + ---------------------------------            /                                                    4*      /    --- + 2*3 /   ------- + -------------  + ---------------------------------       \/      1728         288       
                /      12     \/      1728         288                 _________________________           /                                                            /      12     \/      1728         288                 _________________________                                      
               /                                                      /             ___________           /                                                            /                                                      /             ___________                                       
              /                                                      /  3259169   \/ 853062330           /                                                            /                                                      /  3259169   \/ 853062330                                        
             /                                                 72*3 /   ------- + -------------         /                                                            /                                                 72*3 /   ------- + -------------                                       
       3   \/                                                     \/      1728         288            \/                                                           \/                                                     \/      1728         288                                            
x3 = - - + -------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       4                                             2                                                                                                                                          2

$$x_{3} = - \frac{3}{4} + \frac{\sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2} - \frac{i \sqrt{- \frac{271}{6} + \frac{153}{4 \sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2}$$

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                                                                                                                  /     271        /  3259169   \/ 853062330                                               153                                                            21961               
                                                                                                    I*           /    - --- + 2*3 /   ------- + -------------  + ---------------------------------------------------------------------------------------- + --------------------------------- 
                     ____________________________________________________________________________               /        6      \/      1728         288                     ____________________________________________________________________________           _________________________ 
                    /              _________________________                                                   /                                                            /              _________________________                                               /             ___________  
                   /              /             ___________                                                   /                                                            /              /             ___________                                               /  3259169   \/ 853062330   
                  /   271        /  3259169   \/ 853062330                   21961                           /                                                            /   271        /  3259169   \/ 853062330                   21961                  72*3 /   ------- + -------------  
                 /    --- + 2*3 /   ------- + -------------  + ---------------------------------            /                                                    4*      /    --- + 2*3 /   ------- + -------------  + ---------------------------------       \/      1728         288       
                /      12     \/      1728         288                 _________________________           /                                                            /      12     \/      1728         288                 _________________________                                      
               /                                                      /             ___________           /                                                            /                                                      /             ___________                                       
              /                                                      /  3259169   \/ 853062330           /                                                            /                                                      /  3259169   \/ 853062330                                        
             /                                                 72*3 /   ------- + -------------         /                                                            /                                                 72*3 /   ------- + -------------                                       
       3   \/                                                     \/      1728         288            \/                                                           \/                                                     \/      1728         288                                            
x4 = - - + -------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       4                                             2                                                                                                                                          2

$$x_{4} = - \frac{3}{4} + \frac{\sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2} + \frac{i \sqrt{- \frac{271}{6} + \frac{153}{4 \sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2}$$

x4 = -3/4 + sqrt(271/12 + 21961/(72*(sqrt(853062330)/288 + 3259169/1728)^(1/3)) + 2*(sqrt(853062330)/288 + 3259169/1728)^(1/3))/2 + i*sqrt(-271/6 + 153/(4*sqrt(271/12 + 21961/(72*(sqrt(853062330)/288 + 3259169/1728)^(1/3)) + 2*(sqrt(853062330)/288 + 3259169/1728)^(1/3))) + 21961/(72*(sqrt(853062330)/288 + 3259169/1728)^(1/3)) + 2*(sqrt(853062330)/288 + 3259169/1728)^(1/3))/2

Sum and product of roots [src]

sum

                                                                                                              _______________________________________________________________________________________________________________________________________________________________________                        _______________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                            _________________________________________________________________________________________________________________________________________________________________________                                                                                                                   _________________________________________________________________________________________________________________________________________________________________________
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                                                                                                            /              /             ___________                                                                                                                                                       /              /             ___________                                                                                                                                                                                                                                                                                                                                           /                /             ___________                                                                                                                                                                                                                                                  /                /             ___________                                                                                                                                 
                                                                                                           /   271        /  3259169   \/ 853062330                   21961                                                           153                                                                 /   271        /  3259169   \/ 853062330                   21961                                                           153                                                                                                                                                                                                                                                     /     271        /  3259169   \/ 853062330                                               153                                                            21961                                                                                                                               /     271        /  3259169   \/ 853062330                                               153                                                            21961               
                                                                                                          /    --- - 2*3 /   ------- + -------------  - --------------------------------- + ----------------------------------------------------------------------------------------                     /    --- - 2*3 /   ------- + -------------  - --------------------------------- + ----------------------------------------------------------------------------------------                                                                                                                                                                                            I*           /    - --- + 2*3 /   ------- + -------------  + ---------------------------------------------------------------------------------------- + ---------------------------------                                                                                                   I*           /    - --- + 2*3 /   ------- + -------------  + ---------------------------------------------------------------------------------------- + --------------------------------- 
                ____________________________________________________________________________             /      6      \/      1728         288                 _________________________               ____________________________________________________________________________                    /      6      \/      1728         288                 _________________________               ____________________________________________________________________________              ____________________________________________________________________________                   ____________________________________________________________________________               /        6      \/      1728         288                     ____________________________________________________________________________           _________________________                    ____________________________________________________________________________               /        6      \/      1728         288                     ____________________________________________________________________________           _________________________ 
               /              _________________________                                                 /                                                      /             ___________               /              _________________________                                                        /                                                      /             ___________               /              _________________________                                                  /              _________________________                                                       /              _________________________                                                   /                                                            /              _________________________                                               /             ___________                    /              _________________________                                                   /                                                            /              _________________________                                               /             ___________  
              /              /             ___________                                                 /                                                      /  3259169   \/ 853062330               /              /             ___________                                                        /                                                      /  3259169   \/ 853062330               /              /             ___________                                                  /              /             ___________                                                       /              /             ___________                                                   /                                                            /              /             ___________                                               /  3259169   \/ 853062330                    /              /             ___________                                                   /                                                            /              /             ___________                                               /  3259169   \/ 853062330   
             /   271        /  3259169   \/ 853062330                   21961                         /                                                 72*3 /   ------- + -------------             /   271        /  3259169   \/ 853062330                   21961                                /                                                 72*3 /   ------- + -------------             /   271        /  3259169   \/ 853062330                   21961                          /   271        /  3259169   \/ 853062330                   21961                               /   271        /  3259169   \/ 853062330                   21961                           /                                                            /   271        /  3259169   \/ 853062330                   21961                  72*3 /   ------- + -------------                  /   271        /  3259169   \/ 853062330                   21961                           /                                                            /   271        /  3259169   \/ 853062330                   21961                  72*3 /   ------- + -------------  
            /    --- + 2*3 /   ------- + -------------  + ---------------------------------          /                                                     \/      1728         288         4*      /    --- + 2*3 /   ------- + -------------  + ---------------------------------                 /                                                     \/      1728         288         4*      /    --- + 2*3 /   ------- + -------------  + ---------------------------------           /    --- + 2*3 /   ------- + -------------  + ---------------------------------                /    --- + 2*3 /   ------- + -------------  + ---------------------------------            /                                                    4*      /    --- + 2*3 /   ------- + -------------  + ---------------------------------       \/      1728         288                      /    --- + 2*3 /   ------- + -------------  + ---------------------------------            /                                                    4*      /    --- + 2*3 /   ------- + -------------  + ---------------------------------       \/      1728         288       
           /      12     \/      1728         288                 _________________________         /                                                                                              /      12     \/      1728         288                 _________________________                /                                                                                              /      12     \/      1728         288                 _________________________          /      12     \/      1728         288                 _________________________               /      12     \/      1728         288                 _________________________           /                                                            /      12     \/      1728         288                 _________________________                                                    /      12     \/      1728         288                 _________________________           /                                                            /      12     \/      1728         288                 _________________________                                      
          /                                                      /             ___________         /                                                                                              /                                                      /             ___________                /                                                                                              /                                                      /             ___________          /                                                      /             ___________               /                                                      /             ___________           /                                                            /                                                      /             ___________                                                    /                                                      /             ___________           /                                                            /                                                      /             ___________                                       
         /                                                      /  3259169   \/ 853062330         /                                                                                              /                                                      /  3259169   \/ 853062330                /                                                                                              /                                                      /  3259169   \/ 853062330          /                                                      /  3259169   \/ 853062330               /                                                      /  3259169   \/ 853062330           /                                                            /                                                      /  3259169   \/ 853062330                                                    /                                                      /  3259169   \/ 853062330           /                                                            /                                                      /  3259169   \/ 853062330                                        
        /                                                 72*3 /   ------- + -------------       /                                                                                              /                                                 72*3 /   ------- + -------------              /                                                                                              /                                                 72*3 /   ------- + -------------        /                                                 72*3 /   ------- + -------------             /                                                 72*3 /   ------- + -------------         /                                                            /                                                 72*3 /   ------- + -------------                                                  /                                                 72*3 /   ------- + -------------         /                                                            /                                                 72*3 /   ------- + -------------                                       
  3   \/                                                     \/      1728         288          \/                                                                                             \/                                                     \/      1728         288             3   \/                                                                                             \/                                                     \/      1728         288           \/                                                     \/      1728         288            3   \/                                                     \/      1728         288            \/                                                           \/                                                     \/      1728         288                                                 3   \/                                                     \/      1728         288            \/                                                           \/                                                     \/      1728         288                                            
- - - -------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - - + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------- + - - + -------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + - - + -------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
  4                                             2                                                                                                                                        2                                                                                                4                                                                                             2                                                                                                                                        2                                                4                                             2                                                                                                                                          2                                                                                                  4                                             2                                                                                                                                          2

$$\left(\left(\left(- \frac{\sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2} - \frac{3}{4} - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}} - \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + \frac{153}{4 \sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}} + \frac{271}{6}}}{2}\right) + \left(- \frac{\sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2} - \frac{3}{4} + \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}} - \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + \frac{153}{4 \sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}} + \frac{271}{6}}}{2}\right)\right) + \left(- \frac{3}{4} + \frac{\sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2} - \frac{i \sqrt{- \frac{271}{6} + \frac{153}{4 \sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2}\right)\right) + \left(- \frac{3}{4} + \frac{\sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2} + \frac{i \sqrt{- \frac{271}{6} + \frac{153}{4 \sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2}\right)$$

-3

$$-3$$

product

/                                                                                                              _______________________________________________________________________________________________________________________________________________________________________\ /                     _______________________________________________________________________________________________________________________________________________________________________                                                                                         \ /                                                                                                                _________________________________________________________________________________________________________________________________________________________________________\ /                                                                                                                _________________________________________________________________________________________________________________________________________________________________________\
|                                                                                                             /              _________________________                                                                                                                                | |                    /              _________________________                                                                                                                                                                                                                         | |                                                                                                               /                _________________________                                                                                                                                | |                                                                                                               /                _________________________                                                                                                                                |
|                                                                                                            /              /             ___________                                                                                                                                 | |                   /              /             ___________                                                                                                                                                                                                                          | |                                                                                                              /                /             ___________                                                                                                                                 | |                                                                                                              /                /             ___________                                                                                                                                 |
|                                                                                                           /   271        /  3259169   \/ 853062330                   21961                                                           153                                            | |                  /   271        /  3259169   \/ 853062330                   21961                                                           153                                                                                                                                     | |                                                                                                             /     271        /  3259169   \/ 853062330                                               153                                                            21961               | |                                                                                                             /     271        /  3259169   \/ 853062330                                               153                                                            21961               |
|                                                                                                          /    --- - 2*3 /   ------- + -------------  - --------------------------------- + ---------------------------------------------------------------------------------------- | |                 /    --- - 2*3 /   ------- + -------------  - --------------------------------- + ----------------------------------------------------------------------------------------                                                                                          | |                                                                                               I*           /    - --- + 2*3 /   ------- + -------------  + ---------------------------------------------------------------------------------------- + --------------------------------- | |                                                                                               I*           /    - --- + 2*3 /   ------- + -------------  + ---------------------------------------------------------------------------------------- + --------------------------------- |
|                ____________________________________________________________________________             /      6      \/      1728         288                 _________________________               ____________________________________________________________________________ | |                /      6      \/      1728         288                 _________________________               ____________________________________________________________________________              ____________________________________________________________________________| |                ____________________________________________________________________________               /        6      \/      1728         288                     ____________________________________________________________________________           _________________________ | |                ____________________________________________________________________________               /        6      \/      1728         288                     ____________________________________________________________________________           _________________________ |
|               /              _________________________                                                 /                                                      /             ___________               /              _________________________                                      | |               /                                                      /             ___________               /              _________________________                                                  /              _________________________                                     | |               /              _________________________                                                   /                                                            /              _________________________                                               /             ___________  | |               /              _________________________                                                   /                                                            /              _________________________                                               /             ___________  |
|              /              /             ___________                                                 /                                                      /  3259169   \/ 853062330               /              /             ___________                                       | |              /                                                      /  3259169   \/ 853062330               /              /             ___________                                                  /              /             ___________                                      | |              /              /             ___________                                                   /                                                            /              /             ___________                                               /  3259169   \/ 853062330   | |              /              /             ___________                                                   /                                                            /              /             ___________                                               /  3259169   \/ 853062330   |
|             /   271        /  3259169   \/ 853062330                   21961                         /                                                 72*3 /   ------- + -------------             /   271        /  3259169   \/ 853062330                   21961                | |             /                                                 72*3 /   ------- + -------------             /   271        /  3259169   \/ 853062330                   21961                          /   271        /  3259169   \/ 853062330                   21961               | |             /   271        /  3259169   \/ 853062330                   21961                           /                                                            /   271        /  3259169   \/ 853062330                   21961                  72*3 /   ------- + -------------  | |             /   271        /  3259169   \/ 853062330                   21961                           /                                                            /   271        /  3259169   \/ 853062330                   21961                  72*3 /   ------- + -------------  |
|            /    --- + 2*3 /   ------- + -------------  + ---------------------------------          /                                                     \/      1728         288         4*      /    --- + 2*3 /   ------- + -------------  + ---------------------------------  | |            /                                                     \/      1728         288         4*      /    --- + 2*3 /   ------- + -------------  + ---------------------------------           /    --- + 2*3 /   ------- + -------------  + --------------------------------- | |            /    --- + 2*3 /   ------- + -------------  + ---------------------------------            /                                                    4*      /    --- + 2*3 /   ------- + -------------  + ---------------------------------       \/      1728         288       | |            /    --- + 2*3 /   ------- + -------------  + ---------------------------------            /                                                    4*      /    --- + 2*3 /   ------- + -------------  + ---------------------------------       \/      1728         288       |
|           /      12     \/      1728         288                 _________________________         /                                                                                              /      12     \/      1728         288                 _________________________  | |           /                                                                                              /      12     \/      1728         288                 _________________________          /      12     \/      1728         288                 _________________________ | |           /      12     \/      1728         288                 _________________________           /                                                            /      12     \/      1728         288                 _________________________                                      | |           /      12     \/      1728         288                 _________________________           /                                                            /      12     \/      1728         288                 _________________________                                      |
|          /                                                      /             ___________         /                                                                                              /                                                      /             ___________   | |          /                                                                                              /                                                      /             ___________          /                                                      /             ___________  | |          /                                                      /             ___________           /                                                            /                                                      /             ___________                                       | |          /                                                      /             ___________           /                                                            /                                                      /             ___________                                       |
|         /                                                      /  3259169   \/ 853062330         /                                                                                              /                                                      /  3259169   \/ 853062330    | |         /                                                                                              /                                                      /  3259169   \/ 853062330          /                                                      /  3259169   \/ 853062330   | |         /                                                      /  3259169   \/ 853062330           /                                                            /                                                      /  3259169   \/ 853062330                                        | |         /                                                      /  3259169   \/ 853062330           /                                                            /                                                      /  3259169   \/ 853062330                                        |
|        /                                                 72*3 /   ------- + -------------       /                                                                                              /                                                 72*3 /   ------- + -------------   | |        /                                                                                              /                                                 72*3 /   ------- + -------------        /                                                 72*3 /   ------- + -------------  | |        /                                                 72*3 /   ------- + -------------         /                                                            /                                                 72*3 /   ------- + -------------                                       | |        /                                                 72*3 /   ------- + -------------         /                                                            /                                                 72*3 /   ------- + -------------                                       |
|  3   \/                                                     \/      1728         288          \/                                                                                             \/                                                     \/      1728         288        | |  3   \/                                                                                             \/                                                     \/      1728         288           \/                                                     \/      1728         288       | |  3   \/                                                     \/      1728         288            \/                                                           \/                                                     \/      1728         288                                            | |  3   \/                                                     \/      1728         288            \/                                                           \/                                                     \/      1728         288                                            |
|- - - -------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- - + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------|*|- - + -------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- - + -------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\  4                                             2                                                                                                                                        2                                                                                           / \  4                                                                                             2                                                                                                                                        2                                           / \  4                                             2                                                                                                                                          2                                                                                             / \  4                                             2                                                                                                                                          2                                                                                             /

$$\left(- \frac{\sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2} - \frac{3}{4} - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}} - \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + \frac{153}{4 \sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}} + \frac{271}{6}}}{2}\right) \left(- \frac{\sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2} - \frac{3}{4} + \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}} - \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + \frac{153}{4 \sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}} + \frac{271}{6}}}{2}\right) \left(- \frac{3}{4} + \frac{\sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2} - \frac{i \sqrt{- \frac{271}{6} + \frac{153}{4 \sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2}\right) \left(- \frac{3}{4} + \frac{\sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2} + \frac{i \sqrt{- \frac{271}{6} + \frac{153}{4 \sqrt{\frac{271}{12} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}} + \frac{21961}{72 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}} + 2 \sqrt[3]{\frac{\sqrt{853062330}}{288} + \frac{3259169}{1728}}}}{2}\right)$$

715/2

$$\frac{715}{2}$$

715/2

Numerical answer [src]

x1 = 3.49230962642969 + 1.47875973162386*i

x2 = -5.2518253501849

x3 = 3.49230962642969 - 1.47875973162386*i

x4 = -4.73279390267449

x4 = -4.73279390267449

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The solution