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Simplifying t4 + -13t2 + 42 = 0 Reorder the terms: 42 + -13t2 + t4 = 0 Solving 42 + -13t2 + t4 = 0 Solving for variable 't'. Factor a trinomial. (6 + -1t2)(7 + -1t2) = 0Subproblem 1
Set the factor '(6 + -1t2)' equal to zero and attempt to solve: Simplifying 6 + -1t2 = 0 Solving 6 + -1t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1t2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1t2 = 0 + -6 -1t2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1t2 = -6 Divide each side by '-1'. t2 = 6 Simplifying t2 = 6 Take the square root of each side: t = {-2.449489743, 2.449489743}Subproblem 2
Set the factor '(7 + -1t2)' equal to zero and attempt to solve: Simplifying 7 + -1t2 = 0 Solving 7 + -1t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1t2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t2 = 0 + -7 -1t2 = 0 + -7 Combine like terms: 0 + -7 = -7 -1t2 = -7 Divide each side by '-1'. t2 = 7 Simplifying t2 = 7 Take the square root of each side: t = {-2.645751311, 2.645751311}Solution
t = {-2.449489743, 2.449489743, -2.645751311, 2.645751311}
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