Question 46
Determine all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ so that for all $x, y \in \mathbb{R}$ the following equation is fulfilled: $$
f\left((x-y)^2\right)=x^2-2 y f(x)+(f(y))^2
$$
f\left((x-y)^2\right)=x^2-2 y f(x)+(f(y))^2
$$
MathNet 2026 — Part 03 Question 46
Math Olympiad Vault · MathNet 2026 — Part 03