SOLUTION: 62/t=(69/(t+1))+2. Solve for t. Thanks in advance

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Question 74455: 62/t=(69/(t+1))+2. Solve for t. Thanks in advance
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
Multiplying both sides by t(t+1) gives

62%28t%2B1%29=69t%2B2t%28t%2B1%29 or 62t%2B62=69t%2B2t%5E2%2B2t

Subtracting left side and reordering terms gives

0=2t%5E2%2B9t-62

Using quadratic formula gives

t=%28-9+%2B-+sqrt%289%5E2-4%2A2%2A%28-62%29%29%29%2F%282%2A2%29 or t=%28-9+%2B-+sqrt%28577%29%29%2F4