25y^4-4x^4=0

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Solution for 25y^4-4x^4=0 equation: 


Simplifying
25y4 + -4x4 = 0

Reorder the terms:
-4x4 + 25y4 = 0

Solving
-4x4 + 25y4 = 0

Solving for variable 'x'.

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

Add '-25y4' to each side of the equation.
-4x4 + 25y4 + -25y4 = 0 + -25y4

Combine like terms: 25y4 + -25y4 = 0
-4x4 + 0 = 0 + -25y4
-4x4 = 0 + -25y4
Remove the zero:
-4x4 = -25y4

Divide each side by '-4'.
x4 = 6.25y4

Simplifying
x4 = 6.25y4

Combine like terms: 6.25y4 + -6.25y4 = 0.00
x4 + -6.25y4 = 0.00

Factor a difference between two squares.
(x2 + 2.5y2)(x2 + -2.5y2) = 0.00


Subproblem 1
Set the factor '(x2 + 2.5y2)' equal to zero and attempt to solve:

Simplifying
x2 + 2.5y2 = 0

Solving
x2 + 2.5y2 = 0

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

Add '-2.5y2' to each side of the equation.
x2 + 2.5y2 + -2.5y2 = 0 + -2.5y2

Combine like terms: 2.5y2 + -2.5y2 = 0.0
x2 + 0.0 = 0 + -2.5y2
x2 = 0 + -2.5y2
Remove the zero:
x2 = -2.5y2

Simplifying
x2 = -2.5y2

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 + -2.5y2)' equal to zero and attempt to solve:

Simplifying
x2 + -2.5y2 = 0

Solving
x2 + -2.5y2 = 0

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

Add '2.5y2' to each side of the equation.
x2 + -2.5y2 + 2.5y2 = 0 + 2.5y2

Combine like terms: -2.5y2 + 2.5y2 = 0.0
x2 + 0.0 = 0 + 2.5y2
x2 = 0 + 2.5y2
Remove the zero:
x2 = 2.5y2

Simplifying
x2 = 2.5y2

Take the square root of each side:
x = {-1.58113883y, 1.58113883y}
Solution
x = {-1.58113883y, 1.58113883y}

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