Question Number 185122 by Shrinava last updated on 17/Jan/23
$$\begin{cases}{\sqrt{\mathrm{x}^{\mathrm{2}} \:−\:\frac{\mathrm{5}}{\mathrm{9}}\:+\:\sqrt{\mathrm{y}\:+\:\mathrm{x}^{\mathrm{2}} \:−\:\frac{\mathrm{4}}{\mathrm{9}}}}\:=\:\mathrm{y}}\\{\sqrt{\mathrm{y}^{\mathrm{2}} \:−\:\frac{\mathrm{4}}{\mathrm{9}}\:+\:\sqrt{\mathrm{x}\:+\:\mathrm{y}^{\mathrm{2}} \:−\:\frac{\mathrm{4}}{\mathrm{9}}}}\:=\:\mathrm{x}}\end{cases} \\ $$$$\mathrm{find}:\:\:\:\mathrm{x}\:,\:\mathrm{y}\:=\:? \\ $$
Commented by Frix last updated on 17/Jan/23
$$\mathrm{Is}\:\frac{\mathrm{5}}{\mathrm{9}}\:\mathrm{really}\:\mathrm{meant}\:\mathrm{or}\:\mathrm{is}\:\mathrm{it}\:\mathrm{a}\:\mathrm{typo}? \\ $$
Commented by Shrinava last updated on 17/Jan/23
$$\mathrm{sorry}\:\mathrm{yes}\:\mathrm{dear}\:\mathrm{ser}\:=\:\frac{\mathrm{5}}{\mathrm{9}} \\ $$