Equation with Absolute Value!

$\large \dfrac{|x|}{x} + x^2 = 2$

Let $r_i$ be the roots of the following equation, for $i = 1 , 2 \ldots, n$ with n as the number of roots of the equation above.

Evaluate $\displaystyle \sum_{i=1}^n \text{sgn} (r_i) \cdot r_i^2$ .

Notation : $\text{sgn}(x)$ denote the signum function, $\begin{cases} sgn(x) =1, x > 0 \\ sgn(x) = 0 , x = 0 \\ sgn(x) = -1 , x < 0 \end{cases}$ .