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Simplifying 40a4 + -280a2 + 490 = 0 Reorder the terms: 490 + -280a2 + 40a4 = 0 Solving 490 + -280a2 + 40a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '10'. 10(49 + -28a2 + 4a4) = 0 Factor a trinomial. 10((7 + -2a2)(7 + -2a2)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(7 + -2a2)' equal to zero and attempt to solve: Simplifying 7 + -2a2 = 0 Solving 7 + -2a2 = 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 + -2a2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2a2 = 0 + -7 -2a2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2a2 = -7 Divide each side by '-2'. a2 = 3.5 Simplifying a2 = 3.5 Take the square root of each side: a = {-1.870828693, 1.870828693}Subproblem 2
Set the factor '(7 + -2a2)' equal to zero and attempt to solve: Simplifying 7 + -2a2 = 0 Solving 7 + -2a2 = 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 + -2a2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2a2 = 0 + -7 -2a2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2a2 = -7 Divide each side by '-2'. a2 = 3.5 Simplifying a2 = 3.5 Take the square root of each side: a = {-1.870828693, 1.870828693}Solution
a = {-1.870828693, 1.870828693, -1.870828693, 1.870828693}
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