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Simplifying 9x4 + -66x2 + 121 = 0 Reorder the terms: 121 + -66x2 + 9x4 = 0 Solving 121 + -66x2 + 9x4 = 0 Solving for variable 'x'. Factor a trinomial. (11 + -3x2)(11 + -3x2) = 0Subproblem 1
Set the factor '(11 + -3x2)' equal to zero and attempt to solve: Simplifying 11 + -3x2 = 0 Solving 11 + -3x2 = 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 + -3x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3x2 = 0 + -11 -3x2 = 0 + -11 Combine like terms: 0 + -11 = -11 -3x2 = -11 Divide each side by '-3'. x2 = 3.666666667 Simplifying x2 = 3.666666667 Take the square root of each side: x = {-1.914854216, 1.914854216}Subproblem 2
Set the factor '(11 + -3x2)' equal to zero and attempt to solve: Simplifying 11 + -3x2 = 0 Solving 11 + -3x2 = 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 + -3x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3x2 = 0 + -11 -3x2 = 0 + -11 Combine like terms: 0 + -11 = -11 -3x2 = -11 Divide each side by '-3'. x2 = 3.666666667 Simplifying x2 = 3.666666667 Take the square root of each side: x = {-1.914854216, 1.914854216}Solution
x = {-1.914854216, 1.914854216, -1.914854216, 1.914854216}
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