Question

Solve the following equation.
x/x-2 + x-1/x+1 = -1

Answer 1

Explanation:

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

These 3 terms have meme (x-2)(x+1), so we have:

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

Or x^2 +x +x^2 -3x +2 = -x^2 +x +2

and 3x^2 -3x =0

The factor: 3x( x-1) =0

and we have x= 0 or x-1=0, x=1

The 2 solution: 0 and -1.

Hope that useful for you.