SOLUTION: Solve the rational equation 1/x+1-1/x+2=1/2

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Question 416398: Solve the rational equation
1/x+1-1/x+2=1/2

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Solving for x
|Multiplying thru with 2(x+1)(x+2)
2(x+2) - 2(x+1) = (x+1)(x+2)
2x + 4 - 2x - 2 = x^2 + 3x + 2
x^2 +3x = 0 |combining Like terms
factoring
x(x+3) = 0
x=0
(x+3) = 0 x = -3
CHECKING our Answer(s)***
1 -1/2 = 1/2
1/-2 -1/-1 = -1/2 + 1 = 1/2
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