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Simplifying x4 + -20x2 + 84 = 0 Reorder the terms: 84 + -20x2 + x4 = 0 Solving 84 + -20x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -1x2)(14 + -1x2) = 0Subproblem 1
Set the factor '(6 + -1x2)' equal to zero and attempt to solve: Simplifying 6 + -1x2 = 0 Solving 6 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x2 = 0 + -6 -1x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1x2 = -6 Divide each side by '-1'. x2 = 6 Simplifying x2 = 6 Take the square root of each side: x = {-2.449489743, 2.449489743}Subproblem 2
Set the factor '(14 + -1x2)' equal to zero and attempt to solve: Simplifying 14 + -1x2 = 0 Solving 14 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x2 = 0 + -14 -1x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -1x2 = -14 Divide each side by '-1'. x2 = 14 Simplifying x2 = 14 Take the square root of each side: x = {-3.741657387, 3.741657387}Solution
x = {-2.449489743, 2.449489743, -3.741657387, 3.741657387}
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