SOLUTION: Solving Rational Equations 1/x+1 - 1/x-2 = 1/2

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Question 365109: Solving Rational Equations
1/x+1 - 1/x-2 = 1/2
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 

1/x+1 - 1/x-2 = 1/2

Multiplying each term on both sides of equation by 2(x+1)(x-2) so as all denominators =1

2(x-2) - 2(x+1)= (x+1)(x-2)

-6 = x^2 -x -2

0 = x^2 -x +4

x+=+%281+%2B-+sqrt%28+-15+%29%29%2F%282%29+

x+=+%281+%2B-+i%2Asqrt%28+15+%29%29%2F%282%29+