x^6-y^4=0

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Solution for x^6-y^4=0 equation:


Simplifying
x6 + -1y4 = 0

Solving
x6 + -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.
x6 + -1y4 + y4 = 0 + y4

Combine like terms: -1y4 + y4 = 0
x6 + 0 = 0 + y4
x6 = 0 + y4
Remove the zero:
x6 = y4

Simplifying
x6 = y4

Combine like terms: y4 + -1y4 = 0
x6 + -1y4 = 0

Factor a difference between two squares.
(x3 + y2)(x3 + -1y2) = 0

Subproblem 1

Set the factor '(x3 + y2)' equal to zero and attempt to solve: Simplifying x3 + y2 = 0 Solving x3 + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. x3 + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 x3 + 0 = 0 + -1y2 x3 = 0 + -1y2 Remove the zero: x3 = -1y2 Simplifying x3 = -1y2 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 '(x3 + -1y2)' equal to zero and attempt to solve: Simplifying x3 + -1y2 = 0 Solving x3 + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. x3 + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 x3 + 0 = 0 + y2 x3 = 0 + y2 Remove the zero: x3 = y2 Simplifying x3 = y2 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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