y^2-x^4=0

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


Simplifying
y2 + -1x4 = 0

Reorder the terms:
-1x4 + y2 = 0

Solving
-1x4 + y2 = 0

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
-1x4 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
-1x4 + 0 = 0 + -1y2
-1x4 = 0 + -1y2
Remove the zero:
-1x4 = -1y2

Divide each side by '-1'.
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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