SOLUTION: 3-(a-1)/(a+2)=(a^2-1)/(a+2)

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Question 251043: 3-(a-1)/(a+2)=(a^2-1)/(a+2)
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
The original problem was:
3+-+%28a-1%29%2F%28a%2B2%29+=+%28a%5E2-1%29%2F%28a%2B2%29
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step 1 multiply by the common denominator of (a+2). We get
3%28a%2B2%29-%28a-1%29=%28a%5E2-1%29
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step 2 - distribute and get x^2 on one side = 0.
3a%2B6-a%2B1+=+a%5E2+-+1
a%5E2+-2a+-8+=+0
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step 3 - solve for x by factoring:
%28x-4%29%28x%2B2%29+=+0
X = 4 and x = -2.
However, look back at our denominator. We have a restriction @ x = -2. we cannot use x = -2, So, the only answer is x = 4.