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Simplifying a4 + 2a2 + -63 = 0 Reorder the terms: -63 + 2a2 + a4 = 0 Solving -63 + 2a2 + a4 = 0 Solving for variable 'a'. Factor a trinomial. (-9 + -1a2)(7 + -1a2) = 0Subproblem 1
Set the factor '(-9 + -1a2)' equal to zero and attempt to solve: Simplifying -9 + -1a2 = 0 Solving -9 + -1a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1a2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1a2 = 0 + 9 -1a2 = 0 + 9 Combine like terms: 0 + 9 = 9 -1a2 = 9 Divide each side by '-1'. a2 = -9 Simplifying a2 = -9 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 '(7 + -1a2)' equal to zero and attempt to solve: Simplifying 7 + -1a2 = 0 Solving 7 + -1a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1a2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1a2 = 0 + -7 -1a2 = 0 + -7 Combine like terms: 0 + -7 = -7 -1a2 = -7 Divide each side by '-1'. a2 = 7 Simplifying a2 = 7 Take the square root of each side: a = {-2.645751311, 2.645751311}Solution
a = {-2.645751311, 2.645751311}
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