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Simplifying y4 + -11y2 + -60 = 0 Reorder the terms: -60 + -11y2 + y4 = 0 Solving -60 + -11y2 + y4 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + -1y2)(15 + -1y2) = 0Subproblem 1
Set the factor '(-4 + -1y2)' equal to zero and attempt to solve: Simplifying -4 + -1y2 = 0 Solving -4 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1y2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y2 = 0 + 4 -1y2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1y2 = 4 Divide each side by '-1'. y2 = -4 Simplifying y2 = -4 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 '(15 + -1y2)' equal to zero and attempt to solve: Simplifying 15 + -1y2 = 0 Solving 15 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1y2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1y2 = 0 + -15 -1y2 = 0 + -15 Combine like terms: 0 + -15 = -15 -1y2 = -15 Divide each side by '-1'. y2 = 15 Simplifying y2 = 15 Take the square root of each side: y = {-3.872983346, 3.872983346}Solution
y = {-3.872983346, 3.872983346}
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