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Simplifying h4 + 8h2 + -20 = 0 Reorder the terms: -20 + 8h2 + h4 = 0 Solving -20 + 8h2 + h4 = 0 Solving for variable 'h'. Factor a trinomial. (-10 + -1h2)(2 + -1h2) = 0Subproblem 1
Set the factor '(-10 + -1h2)' equal to zero and attempt to solve: Simplifying -10 + -1h2 = 0 Solving -10 + -1h2 = 0 Move all terms containing h to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1h2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1h2 = 0 + 10 -1h2 = 0 + 10 Combine like terms: 0 + 10 = 10 -1h2 = 10 Divide each side by '-1'. h2 = -10 Simplifying h2 = -10 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 '(2 + -1h2)' equal to zero and attempt to solve: Simplifying 2 + -1h2 = 0 Solving 2 + -1h2 = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1h2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1h2 = 0 + -2 -1h2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1h2 = -2 Divide each side by '-1'. h2 = 2 Simplifying h2 = 2 Take the square root of each side: h = {-1.414213562, 1.414213562}Solution
h = {-1.414213562, 1.414213562}
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