SOLUTION: Solve the equation. t^2 + 1 = 13/6 t

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Question 97785: Solve the equation.
t^2 + 1 = 13/6 t

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation.
t%5E2+%2B+1+=+%2813%2F6%29t
;
Multiply equation by 6 and get rid of that annoying fraction, results:
6t^2 + 6 = 13t
:
6t^2 - 13t + 6 = 0; our old friend, the quadratic equation
:
Actually can factor this:
(2t - 3)(3t - 2) = 0
:
2t = +3
t = 3/2
and
3t = +2
t = 2/3