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Simplifying (x2 + -3)(x2 + -3) = 0 Reorder the terms: (-3 + x2)(x2 + -3) = 0 Reorder the terms: (-3 + x2)(-3 + x2) = 0 Multiply (-3 + x2) * (-3 + x2) (-3(-3 + x2) + x2(-3 + x2)) = 0 ((-3 * -3 + x2 * -3) + x2(-3 + x2)) = 0 ((9 + -3x2) + x2(-3 + x2)) = 0 (9 + -3x2 + (-3 * x2 + x2 * x2)) = 0 (9 + -3x2 + (-3x2 + x4)) = 0 Combine like terms: -3x2 + -3x2 = -6x2 (9 + -6x2 + x4) = 0 Solving 9 + -6x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x2)(3 + -1x2) = 0Subproblem 1
Set the factor '(3 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Subproblem 2
Set the factor '(3 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {-1.732050808, 1.732050808, -1.732050808, 1.732050808}
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