\[x - 6\sqrt{x} + 5 \leq 0;\ \ \ \ \ \ \ t = \sqrt{x}\]
\[t^{2} - 6t + 5 \leq 0\]
\[(t - 5)(t - 1) \leq 0\]
\[1 \leq t \leq 5 \Longrightarrow 1 \leq \sqrt{x} \leq 5 \Longrightarrow\]
\[\Longrightarrow 1 \leq x \leq 25\]
\[Ответ:\lbrack 1;25\rbrack.\]