\[\begin{array}{l} {\text{Найти }}x{\text{, если}} \hfill \\ \left\{ \begin{array}{l} 2\operatorname{tg} \alpha = 3 + \sqrt x \hfill \\ 2\operatorname{tg} \beta = 3 - \sqrt x \hfill \\ 4\left( {\alpha + \beta } \right) = \pi \hfill \\ \end{array} \right. \hfill \\ \end{array}\]