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Simplifying x4 + -21x2 + 98 = 0 Reorder the terms: 98 + -21x2 + x4 = 0 Solving 98 + -21x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -1x2)(14 + -1x2) = 0Subproblem 1
Set the factor '(7 + -1x2)' equal to zero and attempt to solve: Simplifying 7 + -1x2 = 0 Solving 7 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x2 = 0 + -7 -1x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -1x2 = -7 Divide each side by '-1'. x2 = 7 Simplifying x2 = 7 Take the square root of each side: x = {-2.645751311, 2.645751311}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 = {-2.645751311, 2.645751311, -3.741657387, 3.741657387}
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