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Question Number 185122 by Shrinava last updated on 17/Jan/23

$$\{\begin{array}{l}\sqrt{{\mathrm{x}}^2-\frac{5}{9}+\sqrt{\mathrm{y}+{\mathrm{x}}^2-\frac{4}{9}}}=\mathrm{y}\\ \sqrt{{\mathrm{y}}^2-\frac{4}{9}+\sqrt{\mathrm{x}+{\mathrm{y}}^2-\frac{4}{9}}}=\mathrm{x}\end{array}$$$$\mathrm{find}:\mathrm{x},\mathrm{y}=?$$

Commented by Frix last updated on 17/Jan/23

$$\mathrm{Is}\frac{5}{9}\mathrm{really}\mathrm{meant}\mathrm{or}\mathrm{is}\mathrm{it}\mathrm{a}\mathrm{typo}?$$

Commented by Shrinava last updated on 17/Jan/23

$$\mathrm{sorry}\mathrm{yes}\mathrm{dear}\mathrm{ser}=\frac{5}{9}$$

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