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Simplifying X4 + 4X2 + 5 = 17 Reorder the terms: 5 + 4X2 + X4 = 17 Solving 5 + 4X2 + X4 = 17 Solving for variable 'X'. Reorder the terms: 5 + -17 + 4X2 + X4 = 17 + -17 Combine like terms: 5 + -17 = -12 -12 + 4X2 + X4 = 17 + -17 Combine like terms: 17 + -17 = 0 -12 + 4X2 + X4 = 0 Factor a trinomial. (-6 + -1X2)(2 + -1X2) = 0Subproblem 1
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 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 '(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 Take the square root of each side: X = {-1.414213562, 1.414213562}Solution
X = {-1.414213562, 1.414213562}
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