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Simplifying a4 + -24a2 + 144 = 0 Reorder the terms: 144 + -24a2 + a4 = 0 Solving 144 + -24a2 + a4 = 0 Solving for variable 'a'. Factor a trinomial. (12 + -1a2)(12 + -1a2) = 0Subproblem 1
Set the factor '(12 + -1a2)' equal to zero and attempt to solve: Simplifying 12 + -1a2 = 0 Solving 12 + -1a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1a2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1a2 = 0 + -12 -1a2 = 0 + -12 Combine like terms: 0 + -12 = -12 -1a2 = -12 Divide each side by '-1'. a2 = 12 Simplifying a2 = 12 Take the square root of each side: a = {-3.464101615, 3.464101615}Subproblem 2
Set the factor '(12 + -1a2)' equal to zero and attempt to solve: Simplifying 12 + -1a2 = 0 Solving 12 + -1a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1a2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1a2 = 0 + -12 -1a2 = 0 + -12 Combine like terms: 0 + -12 = -12 -1a2 = -12 Divide each side by '-1'. a2 = 12 Simplifying a2 = 12 Take the square root of each side: a = {-3.464101615, 3.464101615}Solution
a = {-3.464101615, 3.464101615, -3.464101615, 3.464101615}
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