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Simplifying X4 + -25y4 = 0 Solving X4 + -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. X4 + -25y4 + 25y4 = 0 + 25y4 Combine like terms: -25y4 + 25y4 = 0 X4 + 0 = 0 + 25y4 X4 = 0 + 25y4 Remove the zero: X4 = 25y4 Simplifying X4 = 25y4 Combine like terms: 25y4 + -25y4 = 0 X4 + -25y4 = 0 Factor a difference between two squares. (X2 + 5y2)(X2 + -5y2) = 0Subproblem 1
Set the factor '(X2 + 5y2)' equal to zero and attempt to solve: Simplifying X2 + 5y2 = 0 Solving X2 + 5y2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-5y2' to each side of the equation. X2 + 5y2 + -5y2 = 0 + -5y2 Combine like terms: 5y2 + -5y2 = 0 X2 + 0 = 0 + -5y2 X2 = 0 + -5y2 Remove the zero: X2 = -5y2 Simplifying X2 = -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 + -5y2)' equal to zero and attempt to solve: Simplifying X2 + -5y2 = 0 Solving X2 + -5y2 = 0 Move all terms containing X to the left, all other terms to the right. Add '5y2' to each side of the equation. X2 + -5y2 + 5y2 = 0 + 5y2 Combine like terms: -5y2 + 5y2 = 0 X2 + 0 = 0 + 5y2 X2 = 0 + 5y2 Remove the zero: X2 = 5y2 Simplifying X2 = 5y2 Take the square root of each side: X = {-2.236067978y, 2.236067978y}Solution
X = {-2.236067978y, 2.236067978y}
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