9.176. $-9<x^{4}-10 x^{2}<56$.

Translate the above text into English, keeping the original text's line breaks and format, and output the translation result directly.

9.176. $-9<x^{4}-10 x^{2}<56$.
Solution.

From the condition, we get

![](https://cdn.mathpix.com/cropped/2024_05_21_3edb7be591bff54ce350g-0688.jpg?height=246&width=973&top_left_y=190&top_left_x=153)

Using the interval method, we find \( x \in (-\sqrt{14} ; -3) \cup (-1 ; 1) \cup (3 ; \sqrt{14}) \).

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Answer: \( x \in (-\sqrt{14} ; -3) \cup (-1 ; 1) \cup (3 ; \sqrt{14}) \).