x^4y^4-2x^2y^2-99=0

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Solution for x^4y^4-2x^2y^2-99=0 equation:


Simplifying
x4y4 + -2x2y2 + -99 = 0

Reorder the terms:
-99 + -2x2y2 + x4y4 = 0

Solving
-99 + -2x2y2 + x4y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -1x2y2)(11 + -1x2y2) = 0

Subproblem 1

Set the factor '(-9 + -1x2y2)' equal to zero and attempt to solve: Simplifying -9 + -1x2y2 = 0 Solving -9 + -1x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x2y2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x2y2 = 0 + 9 -1x2y2 = 0 + 9 Combine like terms: 0 + 9 = 9 -1x2y2 = 9 Divide each side by '-1y2'. x2 = -9y-2 Simplifying x2 = -9y-2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(11 + -1x2y2)' equal to zero and attempt to solve: Simplifying 11 + -1x2y2 = 0 Solving 11 + -1x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x2y2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x2y2 = 0 + -11 -1x2y2 = 0 + -11 Combine like terms: 0 + -11 = -11 -1x2y2 = -11 Divide each side by '-1y2'. x2 = 11y-2 Simplifying x2 = 11y-2 Take the square root of each side: x = {-3.31662479y-1, 3.31662479y-1}

Solution

x = {-3.31662479y-1, 3.31662479y-1}

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