Question

Solve x/ x-2 + x+2/ x >2

Answer 1

$\frac{x}{x - 2} + \frac{x + 2}{x} \ \textgreater \ 2$
$\frac{x(x)}{x(x - 2)} + \frac{(x - 2)(x + 2)}{x(x - 2)} \ \textgreater \ 2$
$\frac{x^{2}}{x(x - 2)} + \frac{x^{2} - 4}{x(x - 2)} \ \textgreater \ 2$
$\frac{x^{2} + x^{2} - 4}{x(x - 2)} \ \textgreater \ 2$
$\frac{2x^{2} - 4}{x(x - 2)} \ \textgreater \ 2$
$2x(x - 2) \ \textgreater \ 2x^{2} - 4$
$2x^{2} - 4x \ \textgreater \ 2x^{2} - 4$
$-4x \ \textgreater \ 4$
$x \ \textgreater \ -1$