Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x^2+4*x+4=0
-
Equation (x^2-4)^2+(x^2-3x-10)^2=0
-
Equation -x/3+x+7=3
-
Equation -20*(x-13)=-220
- Express {x} in terms of y where:
- -14*x+4*y=-16
- -13*x-10*y=5
- 9*x-1*y=17
- -12*x-8*y=13
-
Identical expressions
- (x+ four)^ four - two *(x- four)^ two - fifteen = zero
- (x plus 4) to the power of 4 minus 2 multiply by (x minus 4) squared minus 15 equally 0
- (x plus four) to the power of four minus two multiply by (x minus four) to the power of two minus fifteen equally zero
- (x+4)4-2*(x-4)2-15=0
- x+44-2*x-42-15=0
- (x+4)⁴-2*(x-4)²-15=0
- (x+4) to the power of 4-2*(x-4) to the power of 2-15=0
- (x+4)^4-2(x-4)^2-15=0
- (x+4)4-2(x-4)2-15=0
- x+44-2x-42-15=0
- x+4^4-2x-4^2-15=0
- (x+4)^4-2*(x-4)^2-15=O
-
Similar expressions
- (x+4)^4-2*(x+4)^2-15=0
- (x+4)^4+2*(x-4)^2-15=0
- (x-4)^4-2*(x-4)^2-15=0
- (x+4)^4-2*(x-4)^2+15=0
(x+4)^4-2*(x-4)^2-15=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
4 2 (x + 4) - 2*(x - 4) - 15 = 0
$$\left(- 2 \left(x - 4\right)^{2} + \left(x + 4\right)^{4}\right) - 15 = 0$$
Rapid solution
[src]
___________________________________________________________________________________________________________________________________________
/ ____________________
/ / _______
/ 8 / 440 16*\/ 34113 64 856
/ - - 2*3 / --- + ------------ + ------------------------------------------------------------------------- + ---------------------------
/ 3 \/ 27 9 _______________________________________________________________ ____________________ _______________________________________________________________
/ / ____________________ / _______ / ____________________
/ / / _______ / 440 16*\/ 34113 / / _______
/ / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ / 4 / 440 16*\/ 34113 856
/ / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 / - + 2*3 / --- + ------------ - ---------------------------
/ / 3 \/ 27 9 ____________________ / 3 \/ 27 9 ____________________
/ / / _______ / / _______
/ / / 440 16*\/ 34113 / / 440 16*\/ 34113
/ / 9*3 / --- + ------------ / 9*3 / --- + ------------
\/ \/ \/ 27 9 \/ \/ 27 9
x1 = -4 + ---------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------
2 2
$$x_{1} = -4 - \frac{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}} + \frac{8}{3} + \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{64}{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}}}{2}$$
___________________________________________________________________________________________________________________________________________
/ ____________________
/ / _______
/ 8 / 440 16*\/ 34113 64 856
/ - - 2*3 / --- + ------------ + ------------------------------------------------------------------------- + ---------------------------
_______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________
/ ____________________ / / ____________________ / _______
/ / _______ / / / _______ / 440 16*\/ 34113
/ 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------
/ - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9
/ 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________
/ / _______ / / / _______
/ / 440 16*\/ 34113 / / / 440 16*\/ 34113
/ 9*3 / --- + ------------ / / 9*3 / --- + ------------
\/ \/ 27 9 \/ \/ \/ 27 9
x2 = -4 - ------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{2} = -4 - \frac{\sqrt{- 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}} + \frac{8}{3} + \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{64}{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}}}{2} - \frac{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}{2}$$
_____________________________________________________________________________________________________________________________________________
/ ____________________
/ / _______
/ 8 / 440 16*\/ 34113 64 856
I* / - - + 2*3 / --- + ------------ + ------------------------------------------------------------------------- - ---------------------------
_______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________
/ ____________________ / / ____________________ / _______
/ / _______ / / / _______ / 440 16*\/ 34113
/ 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------
/ - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9
/ 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________
/ / _______ / / / _______
/ / 440 16*\/ 34113 / / / 440 16*\/ 34113
/ 9*3 / --- + ------------ / / 9*3 / --- + ------------
\/ \/ 27 9 \/ \/ \/ 27 9
x3 = -4 + ------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{3} = -4 + \frac{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}{2} - \frac{i \sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} - \frac{8}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}} + \frac{64}{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}}}{2}$$
_____________________________________________________________________________________________________________________________________________
/ ____________________
/ / _______
/ 8 / 440 16*\/ 34113 64 856
I* / - - + 2*3 / --- + ------------ + ------------------------------------------------------------------------- - ---------------------------
_______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________
/ ____________________ / / ____________________ / _______
/ / _______ / / / _______ / 440 16*\/ 34113
/ 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------
/ - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9
/ 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________
/ / _______ / / / _______
/ / 440 16*\/ 34113 / / / 440 16*\/ 34113
/ 9*3 / --- + ------------ / / 9*3 / --- + ------------
\/ \/ 27 9 \/ \/ \/ 27 9
x4 = -4 + ------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{4} = -4 + \frac{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}{2} + \frac{i \sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} - \frac{8}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}} + \frac{64}{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}}}{2}$$
x4 = -4 + sqrt(-856/(9*(440/27 + 16*sqrt(34113)/9)^(1/3)) + 4/3 + 2*(440/27 + 16*sqrt(34113)/9)^(1/3))/2 + i*sqrt(-856/(9*(440/27 + 16*sqrt(34113)/9)^(1/3)) - 8/3 + 2*(440/27 + 16*sqrt(34113)/9)^(1/3) + 64/sqrt(-856/(9*(440/27 + 16*sqrt(34113)/9)^(1/3)) + 4/3 + 2*(440/27 + 16*sqrt(34113)/9)^(1/3)))/2
Sum and product of roots
[src]
sum
___________________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________________________
/ ____________________ / ____________________ / ____________________ / ____________________
/ / _______ / / _______ / / _______ / / _______
/ 8 / 440 16*\/ 34113 64 856 / 8 / 440 16*\/ 34113 64 856 / 8 / 440 16*\/ 34113 64 856 / 8 / 440 16*\/ 34113 64 856
/ - - 2*3 / --- + ------------ + ------------------------------------------------------------------------- + --------------------------- / - - 2*3 / --- + ------------ + ------------------------------------------------------------------------- + --------------------------- I* / - - + 2*3 / --- + ------------ + ------------------------------------------------------------------------- - --------------------------- I* / - - + 2*3 / --- + ------------ + ------------------------------------------------------------------------- - ---------------------------
/ 3 \/ 27 9 _______________________________________________________________ ____________________ _______________________________________________________________ _______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________ _______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________ _______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________
/ / ____________________ / _______ / ____________________ / ____________________ / / ____________________ / _______ / ____________________ / / ____________________ / _______ / ____________________ / / ____________________ / _______
/ / / _______ / 440 16*\/ 34113 / / _______ / / _______ / / / _______ / 440 16*\/ 34113 / / _______ / / / _______ / 440 16*\/ 34113 / / _______ / / / _______ / 440 16*\/ 34113
/ / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ / 4 / 440 16*\/ 34113 856 / 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ / 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ / 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------
/ / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 / - + 2*3 / --- + ------------ - --------------------------- / - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 / - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 / - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9
/ / 3 \/ 27 9 ____________________ / 3 \/ 27 9 ____________________ / 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________ / 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________ / 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________
/ / / _______ / / _______ / / _______ / / / _______ / / _______ / / / _______ / / _______ / / / _______
/ / / 440 16*\/ 34113 / / 440 16*\/ 34113 / / 440 16*\/ 34113 / / / 440 16*\/ 34113 / / 440 16*\/ 34113 / / / 440 16*\/ 34113 / / 440 16*\/ 34113 / / / 440 16*\/ 34113
/ / 9*3 / --- + ------------ / 9*3 / --- + ------------ / 9*3 / --- + ------------ / / 9*3 / --- + ------------ / 9*3 / --- + ------------ / / 9*3 / --- + ------------ / 9*3 / --- + ------------ / / 9*3 / --- + ------------
\/ \/ \/ 27 9 \/ \/ 27 9 \/ \/ 27 9 \/ \/ \/ 27 9 \/ \/ 27 9 \/ \/ \/ 27 9 \/ \/ 27 9 \/ \/ \/ 27 9
-4 + ---------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------- + -4 - ------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------- + -4 + ------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------- + -4 + ------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2 2 2 2 2 2
$$\left(\left(\left(-4 - \frac{\sqrt{- 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}} + \frac{8}{3} + \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{64}{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}}}{2} - \frac{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}{2}\right) + \left(-4 - \frac{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}} + \frac{8}{3} + \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{64}{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}}}{2}\right)\right) + \left(-4 + \frac{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}{2} - \frac{i \sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} - \frac{8}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}} + \frac{64}{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}}}{2}\right)\right) + \left(-4 + \frac{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}{2} + \frac{i \sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} - \frac{8}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}} + \frac{64}{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}}}{2}\right)$$
=
-16
$$-16$$
product
/ ___________________________________________________________________________________________________________________________________________ \ / ___________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________________________\ | / ____________________ | | / ____________________ | | / ____________________ | | / ____________________ | | / / _______ | | / / _______ | | / / _______ | | / / _______ | | / 8 / 440 16*\/ 34113 64 856 | | / 8 / 440 16*\/ 34113 64 856 | | / 8 / 440 16*\/ 34113 64 856 | | / 8 / 440 16*\/ 34113 64 856 | | / - - 2*3 / --- + ------------ + ------------------------------------------------------------------------- + --------------------------- | | / - - 2*3 / --- + ------------ + ------------------------------------------------------------------------- + --------------------------- | | I* / - - + 2*3 / --- + ------------ + ------------------------------------------------------------------------- - --------------------------- | | I* / - - + 2*3 / --- + ------------ + ------------------------------------------------------------------------- - --------------------------- | | / 3 \/ 27 9 _______________________________________________________________ ____________________ _______________________________________________________________| | _______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________ | | _______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________ | | _______________________________________________________________ / 3 \/ 27 9 _______________________________________________________________ ____________________ | | / / ____________________ / _______ / ____________________ | | / ____________________ / / ____________________ / _______ | | / ____________________ / / ____________________ / _______ | | / ____________________ / / ____________________ / _______ | | / / / _______ / 440 16*\/ 34113 / / _______ | | / / _______ / / / _______ / 440 16*\/ 34113 | | / / _______ / / / _______ / 440 16*\/ 34113 | | / / _______ / / / _______ / 440 16*\/ 34113 | | / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ / 4 / 440 16*\/ 34113 856 | | / 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ | | / 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ | | / 4 / 440 16*\/ 34113 856 / / 4 / 440 16*\/ 34113 856 9*3 / --- + ------------ | | / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 / - + 2*3 / --- + ------------ - --------------------------- | | / - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 | | / - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 | | / - + 2*3 / --- + ------------ - --------------------------- / / - + 2*3 / --- + ------------ - --------------------------- \/ 27 9 | | / / 3 \/ 27 9 ____________________ / 3 \/ 27 9 ____________________ | | / 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________ | | / 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________ | | / 3 \/ 27 9 ____________________ / / 3 \/ 27 9 ____________________ | | / / / _______ / / _______ | | / / _______ / / / _______ | | / / _______ / / / _______ | | / / _______ / / / _______ | | / / / 440 16*\/ 34113 / / 440 16*\/ 34113 | | / / 440 16*\/ 34113 / / / 440 16*\/ 34113 | | / / 440 16*\/ 34113 / / / 440 16*\/ 34113 | | / / 440 16*\/ 34113 / / / 440 16*\/ 34113 | | / / 9*3 / --- + ------------ / 9*3 / --- + ------------ | | / 9*3 / --- + ------------ / / 9*3 / --- + ------------ | | / 9*3 / --- + ------------ / / 9*3 / --- + ------------ | | / 9*3 / --- + ------------ / / 9*3 / --- + ------------ | | \/ \/ \/ 27 9 \/ \/ 27 9 | | \/ \/ 27 9 \/ \/ \/ 27 9 | | \/ \/ 27 9 \/ \/ \/ 27 9 | | \/ \/ 27 9 \/ \/ \/ 27 9 | |-4 + ---------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------|*|-4 - ------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------|*|-4 + ------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-4 + ------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
$$\left(-4 - \frac{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}} + \frac{8}{3} + \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{64}{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}}}{2}\right) \left(-4 - \frac{\sqrt{- 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}} + \frac{8}{3} + \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{64}{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}}}{2} - \frac{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}{2}\right) \left(-4 + \frac{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}{2} - \frac{i \sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} - \frac{8}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}} + \frac{64}{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}}}{2}\right) \left(-4 + \frac{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}{2} + \frac{i \sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} - \frac{8}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}} + \frac{64}{\sqrt{- \frac{856}{9 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}} + \frac{4}{3} + 2 \sqrt[3]{\frac{440}{27} + \frac{16 \sqrt{34113}}{9}}}}}}{2}\right)$$
=
209
$$209$$
209
Numerical answer
[src]
x1 = -1.13184988298839
x2 = -3.33103216185721 - 3.37731244714114*i
x3 = -3.33103216185721 + 3.37731244714114*i
x4 = -8.20608579329718
x4 = -8.20608579329718