Question 168
Let $x$ and $y$ be distinct real numbers such that
$$
x + 4 = (y - 2)^2 \quad \text{and} \quad y + 4 = (x - 2)^2.
$$
Determine $x^2 + y^2$.
$$
x + 4 = (y - 2)^2 \quad \text{and} \quad y + 4 = (x - 2)^2.
$$
Determine $x^2 + y^2$.
MathNet 2017-part-01 — 176 problems (EN–VI) Question 168
Math Olympiad Vault · MathNet 2017-part-01 — 176 problems (EN–VI)