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Simplifying t4 = 100 Solving t4 = 100 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Simplifying t4 = 100 Reorder the terms: -100 + t4 = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + t4 = 0 Factor a difference between two squares. (10 + t2)(-10 + t2) = 0Subproblem 1
Set the factor '(10 + t2)' equal to zero and attempt to solve: Simplifying 10 + t2 = 0 Solving 10 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + t2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + t2 = 0 + -10 t2 = 0 + -10 Combine like terms: 0 + -10 = -10 t2 = -10 Simplifying t2 = -10 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 '(-10 + t2)' equal to zero and attempt to solve: Simplifying -10 + t2 = 0 Solving -10 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + t2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + t2 = 0 + 10 t2 = 0 + 10 Combine like terms: 0 + 10 = 10 t2 = 10 Simplifying t2 = 10 Take the square root of each side: t = {-3.16227766, 3.16227766}Solution
t = {-3.16227766, 3.16227766}
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