$$\left. \begin{array} { l } { 1 } \\ { - x ^ { 2 } + 0 + \frac { 1 } { x } + 8 + 3 = 0 } \end{array} \right.$$
$x=\frac{2\sqrt{33}\cos(\frac{\arccos(\frac{3\sqrt{33}}{242})}{3})}{3}\approx 3.361177588\text{, }y=1$
$x=-\frac{\sqrt{33}\left(\sqrt{3}\sin(\frac{\arccos(\frac{3\sqrt{33}}{242})}{3})+\cos(\frac{\arccos(\frac{3\sqrt{33}}{242})}{3})\right)}{3}\approx -3.270200041\text{, }y=1$
$x=\frac{\sqrt{33}\left(\sqrt{3}\sin(\frac{\arccos(\frac{3\sqrt{33}}{242})}{3})-\cos(\frac{\arccos(\frac{3\sqrt{33}}{242})}{3})\right)}{3}\approx -0.090977547\text{, }y=1$
