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Simplifying x4 + 22x2 = 75 Reorder the terms: 22x2 + x4 = 75 Solving 22x2 + x4 = 75 Solving for variable 'x'. Reorder the terms: -75 + 22x2 + x4 = 75 + -75 Combine like terms: 75 + -75 = 0 -75 + 22x2 + x4 = 0 Factor a trinomial. (-25 + -1x2)(3 + -1x2) = 0Subproblem 1
Set the factor '(-25 + -1x2)' equal to zero and attempt to solve: Simplifying -25 + -1x2 = 0 Solving -25 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1x2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1x2 = 0 + 25 -1x2 = 0 + 25 Combine like terms: 0 + 25 = 25 -1x2 = 25 Divide each side by '-1'. x2 = -25 Simplifying x2 = -25 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 '(3 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {-1.732050808, 1.732050808}
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