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Simplifying y4 + -1y2 + -6 = 0 Reorder the terms: -6 + -1y2 + y4 = 0 Solving -6 + -1y2 + y4 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -1y2)(3 + -1y2) = 0Subproblem 1
Set the factor '(-2 + -1y2)' equal to zero and attempt to solve: Simplifying -2 + -1y2 = 0 Solving -2 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y2 = 0 + 2 -1y2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1y2 = 2 Divide each side by '-1'. y2 = -2 Simplifying y2 = -2 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 '(3 + -1y2)' equal to zero and attempt to solve: Simplifying 3 + -1y2 = 0 Solving 3 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y2 = 0 + -3 -1y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1y2 = -3 Divide each side by '-1'. y2 = 3 Simplifying y2 = 3 Take the square root of each side: y = {-1.732050808, 1.732050808}Solution
y = {-1.732050808, 1.732050808}
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