\[\frac{x^{2} + 4x + 4}{x^{2} - 9x + 8} \leq 0\]
\[x^{2} - 9x + 8 =\]
\[= x^{2} - 8x - x + 8 =\]
\[= x(x - 8) - (x - 8) =\]
\[= (x - 8)(x - 1)\]
\[\frac{(x + 2)^{2}}{(x - 8)(x - 1)} \leq 0\]
\[Ответ:\left\{ - 2 \right\} \cup (1;8).\]