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Simplifying x4 + -30x2 + 221 = 0 Reorder the terms: 221 + -30x2 + x4 = 0 Solving 221 + -30x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (13 + -1x2)(17 + -1x2) = 0Subproblem 1
Set the factor '(13 + -1x2)' equal to zero and attempt to solve: Simplifying 13 + -1x2 = 0 Solving 13 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x2 = 0 + -13 -1x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -1x2 = -13 Divide each side by '-1'. x2 = 13 Simplifying x2 = 13 Take the square root of each side: x = {-3.605551275, 3.605551275}Subproblem 2
Set the factor '(17 + -1x2)' equal to zero and attempt to solve: Simplifying 17 + -1x2 = 0 Solving 17 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x2 = 0 + -17 -1x2 = 0 + -17 Combine like terms: 0 + -17 = -17 -1x2 = -17 Divide each side by '-1'. x2 = 17 Simplifying x2 = 17 Take the square root of each side: x = {-4.123105626, 4.123105626}Solution
x = {-3.605551275, 3.605551275, -4.123105626, 4.123105626}
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