<PRE><B>Question 442439</B>
(1)/ (x-1) + (1)/ (2) = (2) / (x^2 -1) 

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Multiply thru by 2(x^2-1) to get:
2(x+1) + x^2-1 = 2*2
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2x+2+x^2-1 = 4
x^2 + 2x + 1 = 4
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x^2 + 2x -3 = 0
Factor:
(x+3)(x-1) = 0
x = -3 or x = 1
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But x cannot be 1 as that would make 2 of
the original fractions undefined.
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So the only solution is x = -3
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Checking
(1)/ (x-1) + (1)/ (2) = (2) / (x^2 -1)
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1/(-3-1) + 1/2 = 2/(9-1)
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-1/4 + 1/2 = 1/4
1/4 = 1/4
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Cheers,
Stan H.</PRE>