\[x - \frac{9}{x} = ?\]
\[x^{2} + \frac{81}{x^{2}} = 118\]
\[x^{2} - 18 + \frac{81}{x^{2}} = 118 - 18\]
\[\left( x - \frac{9}{x} \right)^{2} = 100\]
\[x - \frac{9}{x} = \pm 10.\]