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Simplifying x4 + -22x2 + 112 = 0 Reorder the terms: 112 + -22x2 + x4 = 0 Solving 112 + -22x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -1x2)(14 + -1x2) = 0Subproblem 1
Set the factor '(8 + -1x2)' equal to zero and attempt to solve: Simplifying 8 + -1x2 = 0 Solving 8 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x2 = 0 + -8 -1x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1x2 = -8 Divide each side by '-1'. x2 = 8 Simplifying x2 = 8 Take the square root of each side: x = {-2.828427125, 2.828427125}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 = {-2.828427125, 2.828427125, -3.741657387, 3.741657387}
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