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Simplifying 9 + -42b2 + 49b4 = 0 Solving 9 + -42b2 + 49b4 = 0 Solving for variable 'b'. Factor a trinomial. (3 + -7b2)(3 + -7b2) = 0Subproblem 1
Set the factor '(3 + -7b2)' equal to zero and attempt to solve: Simplifying 3 + -7b2 = 0 Solving 3 + -7b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7b2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7b2 = 0 + -3 -7b2 = 0 + -3 Combine like terms: 0 + -3 = -3 -7b2 = -3 Divide each side by '-7'. b2 = 0.4285714286 Simplifying b2 = 0.4285714286 Take the square root of each side: b = {-0.654653671, 0.654653671}Subproblem 2
Set the factor '(3 + -7b2)' equal to zero and attempt to solve: Simplifying 3 + -7b2 = 0 Solving 3 + -7b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7b2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7b2 = 0 + -3 -7b2 = 0 + -3 Combine like terms: 0 + -3 = -3 -7b2 = -3 Divide each side by '-7'. b2 = 0.4285714286 Simplifying b2 = 0.4285714286 Take the square root of each side: b = {-0.654653671, 0.654653671}Solution
b = {-0.654653671, 0.654653671, -0.654653671, 0.654653671}
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