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Simplifying y4 + -8y2 + -153 = 0 Reorder the terms: -153 + -8y2 + y4 = 0 Solving -153 + -8y2 + y4 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + -1y2)(17 + -1y2) = 0Subproblem 1
Set the factor '(-9 + -1y2)' equal to zero and attempt to solve: Simplifying -9 + -1y2 = 0 Solving -9 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1y2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1y2 = 0 + 9 -1y2 = 0 + 9 Combine like terms: 0 + 9 = 9 -1y2 = 9 Divide each side by '-1'. y2 = -9 Simplifying y2 = -9 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 '(17 + -1y2)' equal to zero and attempt to solve: Simplifying 17 + -1y2 = 0 Solving 17 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1y2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1y2 = 0 + -17 -1y2 = 0 + -17 Combine like terms: 0 + -17 = -17 -1y2 = -17 Divide each side by '-1'. y2 = 17 Simplifying y2 = 17 Take the square root of each side: y = {-4.123105626, 4.123105626}Solution
y = {-4.123105626, 4.123105626}
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