1/x- 2 + 1/x+1 = 2/x-1
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Answer:
x=5
Step-by-step explanation:
1/x-2 + 1/x+1 = 2/x-1
Crossmultiplying LHS,
(x+1)+(x-2) / (x+1)(x-2) = 2/x-1
x+1+x-2 / x²-x-2 = 2/x-1
2x-1 / x²-x-2 = 2/x-1
Now,
(x-1)(2x-1) = 2x²-2x-4
2x²-x-2x+1 = 2x²-2x-4
-x+1=-4
-x=-5
x=5
Hope this is helpful !!
Thanks!!
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