Question

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

Answer 1

Answer:

Step-by-step explanation:

$\frac{x(x+1)}{(x-2)(x+1)} + \frac{(x-1)(x-2)}{(x+1)(x-2)} =-\frac{(x-2)(x+1)}{(x-2)(x+1)}$

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.