\[\ x^{2} = 92\]
\[x = \pm \sqrt{4 \cdot 23}\]
\[x = \pm 2\sqrt{23}\]
\[Ответ:\ \ x = \pm 2\sqrt{23}.\]
\[\ x \geq 0:\]
\[\frac{1}{7}x^{2}\sqrt{49x^{6}} = \frac{1}{7} \cdot 7x^{2}\left| x^{3} \right| = x^{5}.\]