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Simplifying x4 + 5x2 = 66 Reorder the terms: 5x2 + x4 = 66 Solving 5x2 + x4 = 66 Solving for variable 'x'. Reorder the terms: -66 + 5x2 + x4 = 66 + -66 Combine like terms: 66 + -66 = 0 -66 + 5x2 + x4 = 0 Factor a trinomial. (-11 + -1x2)(6 + -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 '(6 + -1x2)' equal to zero and attempt to solve: Simplifying 6 + -1x2 = 0 Solving 6 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x2 = 0 + -6 -1x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1x2 = -6 Divide each side by '-1'. x2 = 6 Simplifying x2 = 6 Take the square root of each side: x = {-2.449489743, 2.449489743}Solution
x = {-2.449489743, 2.449489743}
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