Question 55
Let $x \lt y$ be positive real numbers such that
$$
\sqrt{x} + \sqrt{y} = 4 \quad \text{and} \quad \sqrt{x+2} + \sqrt{y+2} = 5
$$
Compute $x$.
$$
\sqrt{x} + \sqrt{y} = 4 \quad \text{and} \quad \sqrt{x+2} + \sqrt{y+2} = 5
$$
Compute $x$.
MathNet 2024-part-06 — 165 problems (EN–VI) Question 55
Math Olympiad Vault · MathNet 2024-part-06 — 165 problems (EN–VI)