x^4-5x^2y+4y^2=0

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Solution for x^4-5x^2y+4y^2=0 equation:


Simplifying
x4 + -5x2y + 4y2 = 0

Reorder the terms:
-5x2y + x4 + 4y2 = 0

Solving
-5x2y + x4 + 4y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x2 + -4y)(x2 + -1y) = 0

Subproblem 1

Set the factor '(x2 + -4y)' equal to zero and attempt to solve: Simplifying x2 + -4y = 0 Solving x2 + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. x2 + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 x2 + 0 = 0 + 4y x2 = 0 + 4y Remove the zero: x2 = 4y Simplifying x2 = 4y 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 '(x2 + -1y)' equal to zero and attempt to solve: Simplifying x2 + -1y = 0 Solving x2 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x2 + -1y + y = 0 + y Combine like terms: -1y + y = 0 x2 + 0 = 0 + y x2 = 0 + y Remove the zero: x2 = y Simplifying x2 = y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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