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Simplifying x4 + -11x2 = 26 Reorder the terms: -11x2 + x4 = 26 Solving -11x2 + x4 = 26 Solving for variable 'x'. Reorder the terms: -26 + -11x2 + x4 = 26 + -26 Combine like terms: 26 + -26 = 0 -26 + -11x2 + x4 = 0 Factor a trinomial. (-2 + -1x2)(13 + -1x2) = 0Subproblem 1
Set the factor '(-2 + -1x2)' equal to zero and attempt to solve: Simplifying -2 + -1x2 = 0 Solving -2 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x2 = 0 + 2 -1x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1x2 = 2 Divide each side by '-1'. x2 = -2 Simplifying x2 = -2 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 '(13 + -1x2)' equal to zero and attempt to solve: Simplifying 13 + -1x2 = 0 Solving 13 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x2 = 0 + -13 -1x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -1x2 = -13 Divide each side by '-1'. x2 = 13 Simplifying x2 = 13 Take the square root of each side: x = {-3.605551275, 3.605551275}Solution
x = {-3.605551275, 3.605551275}
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