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Simplifying t4 + t2 + -72 = 0 Reorder the terms: -72 + t2 + t4 = 0 Solving -72 + t2 + t4 = 0 Solving for variable 't'. Factor a trinomial. (-9 + -1t2)(8 + -1t2) = 0Subproblem 1
Set the factor '(-9 + -1t2)' equal to zero and attempt to solve: Simplifying -9 + -1t2 = 0 Solving -9 + -1t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1t2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1t2 = 0 + 9 -1t2 = 0 + 9 Combine like terms: 0 + 9 = 9 -1t2 = 9 Divide each side by '-1'. t2 = -9 Simplifying t2 = -9 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 '(8 + -1t2)' equal to zero and attempt to solve: Simplifying 8 + -1t2 = 0 Solving 8 + -1t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1t2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1t2 = 0 + -8 -1t2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1t2 = -8 Divide each side by '-1'. t2 = 8 Simplifying t2 = 8 Take the square root of each side: t = {-2.828427125, 2.828427125}Solution
t = {-2.828427125, 2.828427125}
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