X^4-y^2=0

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Solution for X^4-y^2=0 equation:


Simplifying
X4 + -1y2 = 0

Solving
X4 + -1y2 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add 'y2' to each side of the equation.
X4 + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
X4 + 0 = 0 + y2
X4 = 0 + y2
Remove the zero:
X4 = y2

Simplifying
X4 = y2

Combine like terms: y2 + -1y2 = 0
X4 + -1y2 = 0

Factor a difference between two squares.
(X2 + y)(X2 + -1y) = 0

Subproblem 1

Set the factor '(X2 + y)' equal to zero and attempt to solve: Simplifying X2 + y = 0 Solving X2 + y = 0 Move all terms containing X to the left, all other terms to the right. Add '-1y' to each side of the equation. X2 + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 X2 + 0 = 0 + -1y X2 = 0 + -1y Remove the zero: X2 = -1y Simplifying X2 = -1y 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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