\left\{ \begin{array} { r } { x ^ { 2 } - 3 y = - 1 } \\ { x y = 3 } \end{array} \right.
Solve for x, y
x = \frac{18 ^ {\frac{2}{3}} {(\sqrt[3]{\sqrt{6573} + 81} + \sqrt[3]{81 - \sqrt{6573}})}}{18} \approx 1.920175121
y = \frac{\sqrt[3]{18} {({(\sqrt{6573} + 81)} ^ {\frac{2}{3}} + {(81 - \sqrt{6573})} ^ {\frac{2}{3}} + 18 ^ {\frac{2}{3}} - 2 \sqrt[3]{12})}}{54} \approx 1.562357499
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