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Simplifying y4 + -6y2 + -40 = 0 Reorder the terms: -40 + -6y2 + y4 = 0 Solving -40 + -6y2 + y4 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + -1y2)(10 + -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 '(10 + -1y2)' equal to zero and attempt to solve: Simplifying 10 + -1y2 = 0 Solving 10 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1y2 = 0 + -10 -1y2 = 0 + -10 Combine like terms: 0 + -10 = -10 -1y2 = -10 Divide each side by '-1'. y2 = 10 Simplifying y2 = 10 Take the square root of each side: y = {-3.16227766, 3.16227766}Solution
y = {-3.16227766, 3.16227766}
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