SOLUTION: t+12/t-8

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Question 437036: t+12/t-8
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming you mean
t + 12/t - 8 = 0
.
Multiply both sides by t to remove the denominator
t*t + t*12/t - t*8 = 0
t^2 + 12 - 8t = 0
Rearranging
t^2 - 8t + 12 = 0
Factoring
(t -2)(t - 6) = 0
So,
t=2 or t=6, which are the two solutions for this quadratic equation.
A graph is useful for checking.
graph%28500%2C500%2C-10%2C10%2C-10%2C10%2Cx%2Ax+-8%2Ax+%2B+12%29