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Simplifying y4 + -75y2 + 1296 = 0 Reorder the terms: 1296 + -75y2 + y4 = 0 Solving 1296 + -75y2 + y4 = 0 Solving for variable 'y'. Factor a trinomial. (27 + -1y2)(48 + -1y2) = 0Subproblem 1
Set the factor '(27 + -1y2)' equal to zero and attempt to solve: Simplifying 27 + -1y2 = 0 Solving 27 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1y2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1y2 = 0 + -27 -1y2 = 0 + -27 Combine like terms: 0 + -27 = -27 -1y2 = -27 Divide each side by '-1'. y2 = 27 Simplifying y2 = 27 Take the square root of each side: y = {-5.196152423, 5.196152423}Subproblem 2
Set the factor '(48 + -1y2)' equal to zero and attempt to solve: Simplifying 48 + -1y2 = 0 Solving 48 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -1y2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1y2 = 0 + -48 -1y2 = 0 + -48 Combine like terms: 0 + -48 = -48 -1y2 = -48 Divide each side by '-1'. y2 = 48 Simplifying y2 = 48 Take the square root of each side: y = {-6.92820323, 6.92820323}Solution
y = {-5.196152423, 5.196152423, -6.92820323, 6.92820323}
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