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Simplifying x4 + 6x2 = 55 Reorder the terms: 6x2 + x4 = 55 Solving 6x2 + x4 = 55 Solving for variable 'x'. Reorder the terms: -55 + 6x2 + x4 = 55 + -55 Combine like terms: 55 + -55 = 0 -55 + 6x2 + x4 = 0 Factor a trinomial. (-11 + -1x2)(5 + -1x2) = 0Subproblem 1
Set the factor '(-11 + -1x2)' equal to zero and attempt to solve: Simplifying -11 + -1x2 = 0 Solving -11 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x2 = 0 + 11 -1x2 = 0 + 11 Combine like terms: 0 + 11 = 11 -1x2 = 11 Divide each side by '-1'. x2 = -11 Simplifying x2 = -11 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 '(5 + -1x2)' equal to zero and attempt to solve: Simplifying 5 + -1x2 = 0 Solving 5 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x2 = 0 + -5 -1x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1x2 = -5 Divide each side by '-1'. x2 = 5 Simplifying x2 = 5 Take the square root of each side: x = {-2.236067978, 2.236067978}Solution
x = {-2.236067978, 2.236067978}
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