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Simplifying 2x4 + 11x2y2 + -6y4 = 0 Reorder the terms: 11x2y2 + 2x4 + -6y4 = 0 Solving 11x2y2 + 2x4 + -6y4 = 0 Solving for variable 'x'. Factor a trinomial. (2x2 + -1y2)(x2 + 6y2) = 0Subproblem 1
Set the factor '(2x2 + -1y2)' equal to zero and attempt to solve: Simplifying 2x2 + -1y2 = 0 Solving 2x2 + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. 2x2 + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 2x2 + 0 = 0 + y2 2x2 = 0 + y2 Remove the zero: 2x2 = y2 Divide each side by '2'. x2 = 0.5y2 Simplifying x2 = 0.5y2 Take the square root of each side: x = {-0.707106781y, 0.707106781y}Subproblem 2
Set the factor '(x2 + 6y2)' equal to zero and attempt to solve: Simplifying x2 + 6y2 = 0 Solving x2 + 6y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y2' to each side of the equation. x2 + 6y2 + -6y2 = 0 + -6y2 Combine like terms: 6y2 + -6y2 = 0 x2 + 0 = 0 + -6y2 x2 = 0 + -6y2 Remove the zero: x2 = -6y2 Simplifying x2 = -6y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {-0.707106781y, 0.707106781y}
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