$$5\sqrt{5}X^{2}+10X+5Y+\sqrt{5}=c$$
$Y=\frac{-5\sqrt{5}X^{2}+c-10X-\sqrt{5}}{5}$
$X=\frac{\sqrt[4]{5}\sqrt{c-5Y}-\sqrt{5}}{5}$
$X=\frac{-\sqrt[4]{5}\sqrt{c-5Y}-\sqrt{5}}{5}\text{, }Y\leq \frac{c}{5}$
