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Simplifying x4 + -23x2 + 60 = 0 Reorder the terms: 60 + -23x2 + x4 = 0 Solving 60 + -23x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x2)(20 + -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 '(20 + -1x2)' equal to zero and attempt to solve: Simplifying 20 + -1x2 = 0 Solving 20 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x2 = 0 + -20 -1x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -1x2 = -20 Divide each side by '-1'. x2 = 20 Simplifying x2 = 20 Take the square root of each side: x = {-4.472135955, 4.472135955}Solution
x = {-1.732050808, 1.732050808, -4.472135955, 4.472135955}
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