Question

1/x- 2 + 1/x+1 = 2/x-1​

Answer 1

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!!