Question 50
Find all functions $f : \mathbb{R} \to \mathbb{R}$ such that for any numbers $x \neq y$ the following equality is true:
$$
(f(x + y))^2 = f(x + y) + f(x) + f(y).
$$
$$
(f(x + y))^2 = f(x + y) + f(x) + f(y).
$$
MathNet 2024-part-01 — 168 problems (EN–VI) Question 50
Math Olympiad Vault · MathNet 2024-part-01 — 168 problems (EN–VI)