$$\left. \begin{array} { l } { 6 x ^ { 2 } + \frac { 1 } { x ^ { 2 } } x = \frac { 1 } { \sqrt { 2 } - 1 } } \\ { x + \frac { 1 } { x } } \\ { \text { \right.$$
$y = -\frac{\sqrt[3]{2} {({(\sqrt{67 - 10 \sqrt{2}} + 9)} ^ {\frac{2}{3}} + {(-\sqrt{67 - 10 \sqrt{2}} + 9)} ^ {\frac{2}{3}} - \sqrt[3]{2} - 2 ^ {\frac{5}{6}})} {({(\sqrt{67 - 10 \sqrt{2}} + 9)} ^ {\frac{2}{3}} + {(-\sqrt{67 - 10 \sqrt{2}} + 9)} ^ {\frac{2}{3}} + 2 \cdot 2 ^ {\frac{5}{6}} + 20 \sqrt[3]{2})}}{108} \approx -2.059408696$
