SOLUTION: How do I solve this equation? It is suppose to have 2 answers. (2)+[(10)/(t-9)]=(10)/(t^2-9t)

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Question 728473: How do I solve this equation? It is suppose to have 2 answers.
(2)+[(10)/(t-9)]=(10)/(t^2-9t)
Found 2 solutions by lynnlo, stanbon:
Answer by lynnlo(4176) About Me  (Show Source):
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(2)+[(10)/(t-9)]=(10)/(t^2-9t)
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2 + [10/(t-9)] = 10/(t(t-9)]
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Simplify the left side:
[2(t-9)+10]/(t-9) = 10/[t(t-9)]
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Simplify:
(2t-8) = 10/t
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2t^2-8t-10 = 0
t^2 -4t - 5 = 0
(t-5)(t+1) = 0
t = 5 or t = -1
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Cheers,
Stan H.
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