Question 160
Find two positive integers $x$ and $y$ such that:
$$
\frac{1-\sqrt{2}+\sqrt{3}}{1+\sqrt{2}-\sqrt{3}}=\frac{\sqrt{x}+\sqrt{y}}{2}
$$
$$
\frac{1-\sqrt{2}+\sqrt{3}}{1+\sqrt{2}-\sqrt{3}}=\frac{\sqrt{x}+\sqrt{y}}{2}
$$
MathNet 2015-part-01 — 191 problems (EN–VI) Question 160
Math Olympiad Vault · MathNet 2015-part-01 — 191 problems (EN–VI)