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Simplifying 9x4 + 34x2 = 8 Reorder the terms: 34x2 + 9x4 = 8 Solving 34x2 + 9x4 = 8 Solving for variable 'x'. Reorder the terms: -8 + 34x2 + 9x4 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 34x2 + 9x4 = 0 Factor a trinomial. (-4 + -1x2)(2 + -9x2) = 0Subproblem 1
Set the factor '(-4 + -1x2)' equal to zero and attempt to solve: Simplifying -4 + -1x2 = 0 Solving -4 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x2 = 0 + 4 -1x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1x2 = 4 Divide each side by '-1'. x2 = -4 Simplifying x2 = -4 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 + -9x2)' equal to zero and attempt to solve: Simplifying 2 + -9x2 = 0 Solving 2 + -9x2 = 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 + -9x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x2 = 0 + -2 -9x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -9x2 = -2 Divide each side by '-9'. x2 = 0.2222222222 Simplifying x2 = 0.2222222222 Take the square root of each side: x = {-0.471404521, 0.471404521}Solution
x = {-0.471404521, 0.471404521}
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