Any "solution" that makes a denominator zero will be extraneous.
The appropriate choice is ...
c. x=1
_____
This can be solved without extraneous solutions by subtracting the right side.
(2(x +1) -(x -2))/(2(x -1)(x +1)) = 0
(x +4) = 0 . . . . . . . . . . . . . . . . . . . . . multiply by the denominator
x = -4 . . . . . . . . . . . . . . . . . . . . . . . . subtract 4
