Given this equation (containing one variable $x$, and one parameter $a$):
$$\frac{(1 - a)^2}{x - a} = \frac{( 1 + a )^2}{x + a}$$
I need to solve this equation and "discuss its solutions" depending on the parameter $a$. The proposed correct answer is:
- If $a = 0, a = 1, a = -1$, then the equation doesn't have a solution
- Otherwise, the solution is $x = \dfrac{a^2 + 1}2$
I don't know how to get to this answer. Could you enlighten me, please?