x^2-y^4=0

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


Simplifying
x2 + -1y4 = 0

Solving
x2 + -1y4 = 0

Solving for variable 'x'.

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

Add 'y4' to each side of the equation.
x2 + -1y4 + y4 = 0 + y4

Combine like terms: -1y4 + y4 = 0
x2 + 0 = 0 + y4
x2 = 0 + y4
Remove the zero:
x2 = y4

Simplifying
x2 = y4

Take the square root of each side:
x = {-1y2, y2}

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