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Simplifying 9u4 + -36u2 + 20 = 0 Reorder the terms: 20 + -36u2 + 9u4 = 0 Solving 20 + -36u2 + 9u4 = 0 Solving for variable 'u'. Factor a trinomial. (2 + -3u2)(10 + -3u2) = 0Subproblem 1
Set the factor '(2 + -3u2)' equal to zero and attempt to solve: Simplifying 2 + -3u2 = 0 Solving 2 + -3u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3u2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3u2 = 0 + -2 -3u2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3u2 = -2 Divide each side by '-3'. u2 = 0.6666666667 Simplifying u2 = 0.6666666667 Take the square root of each side: u = {-0.816496581, 0.816496581}Subproblem 2
Set the factor '(10 + -3u2)' equal to zero and attempt to solve: Simplifying 10 + -3u2 = 0 Solving 10 + -3u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3u2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3u2 = 0 + -10 -3u2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3u2 = -10 Divide each side by '-3'. u2 = 3.333333333 Simplifying u2 = 3.333333333 Take the square root of each side: u = {-1.825741858, 1.825741858}Solution
u = {-0.816496581, 0.816496581, -1.825741858, 1.825741858}
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