$$\left. \begin{array} { l } { 4 } \\ { x ^ { 3 } = 23 x ^ { 2 } + 142 x - 120 , } \end{array} \right.$$
$x=\frac{2\sqrt{955}\cos(\frac{\arccos(\frac{25244\sqrt{955}}{912025})}{3})+23}{3}\approx 27.930264308\text{, }y=4$
$x=\frac{-\sqrt{955}\cos(\frac{\arccos(\frac{25244\sqrt{955}}{912025})}{3})-\sqrt{2865}\sin(\frac{\arccos(\frac{25244\sqrt{955}}{912025})}{3})+23}{3}\approx -5.685891584\text{, }y=4$
$x=\frac{\sqrt{2865}\sin(\frac{\arccos(\frac{25244\sqrt{955}}{912025})}{3})-\sqrt{955}\cos(\frac{\arccos(\frac{25244\sqrt{955}}{912025})}{3})+23}{3}\approx 0.755627276\text{, }y=4$