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Simplifying x4 + 13x2 = 48 Reorder the terms: 13x2 + x4 = 48 Solving 13x2 + x4 = 48 Solving for variable 'x'. Reorder the terms: -48 + 13x2 + x4 = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + 13x2 + x4 = 0 Factor a trinomial. (-16 + -1x2)(3 + -1x2) = 0Subproblem 1
Set the factor '(-16 + -1x2)' equal to zero and attempt to solve: Simplifying -16 + -1x2 = 0 Solving -16 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x2 = 0 + 16 -1x2 = 0 + 16 Combine like terms: 0 + 16 = 16 -1x2 = 16 Divide each side by '-1'. x2 = -16 Simplifying x2 = -16 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.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}
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