x^4-120x^2+3600=0

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Solution for x^4-120x^2+3600=0 equation:


Simplifying
x4 + -120x2 + 3600 = 0

Reorder the terms:
3600 + -120x2 + x4 = 0

Solving
3600 + -120x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(60 + -1x2)(60 + -1x2) = 0

Subproblem 1

Set the factor '(60 + -1x2)' equal to zero and attempt to solve: Simplifying 60 + -1x2 = 0 Solving 60 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x2 = 0 + -60 -1x2 = 0 + -60 Combine like terms: 0 + -60 = -60 -1x2 = -60 Divide each side by '-1'. x2 = 60 Simplifying x2 = 60 Take the square root of each side: x = {-7.745966692, 7.745966692}

Subproblem 2

Set the factor '(60 + -1x2)' equal to zero and attempt to solve: Simplifying 60 + -1x2 = 0 Solving 60 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x2 = 0 + -60 -1x2 = 0 + -60 Combine like terms: 0 + -60 = -60 -1x2 = -60 Divide each side by '-1'. x2 = 60 Simplifying x2 = 60 Take the square root of each side: x = {-7.745966692, 7.745966692}

Solution

x = {-7.745966692, 7.745966692, -7.745966692, 7.745966692}

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