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Simplifying y4 + -13y2 + -48 = 0 Reorder the terms: -48 + -13y2 + y4 = 0 Solving -48 + -13y2 + y4 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -1y2)(16 + -1y2) = 0 Factor a difference between two squares. (-3 + -1y2)((4 + y)(4 + -1y)) = 0Subproblem 1
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 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 '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Subproblem 3
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {-4, 4}
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