$$5\sqrt{5}X^{2}+10X+5Y+\sqrt{5}=0$$
$Y=-\sqrt{5}X^{2}-2X-\frac{\sqrt{5}}{5}$
$X=\frac{5^{\frac{3}{4}}\sqrt{-Y}-\sqrt{5}}{5}$
$X=\frac{-5^{\frac{3}{4}}\sqrt{-Y}-\sqrt{5}}{5}\text{, }Y\leq 0$
