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Simplifying 10x4 + 109x2 + -11 = 0 Reorder the terms: -11 + 109x2 + 10x4 = 0 Solving -11 + 109x2 + 10x4 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -1x2)(1 + -10x2) = 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 '(1 + -10x2)' equal to zero and attempt to solve: Simplifying 1 + -10x2 = 0 Solving 1 + -10x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -10x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10x2 = 0 + -1 -10x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -10x2 = -1 Divide each side by '-10'. x2 = 0.1 Simplifying x2 = 0.1 Take the square root of each side: x = {-0.316227766, 0.316227766}Solution
x = {-0.316227766, 0.316227766}
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