\[\frac{x^{2} + 14x + 50}{x^{2} + 17} \leq 0\]
\[x^{2} + 14x + 50 \leq 0\]
\[(x + 7)^{2} + 1 \leq 0\]
\[(x + 7)^{2} + 1 > 0\ \ при\ \]
\[любом\ x \in R \rightarrow нет\ решений.\]
\[Ответ:нет\ решений.\]