Question 60
Find all surjective functions $f: \mathbb{R} \to \mathbb{R}$ satisfying
$$
f(xf(y) + y^2) = f((x+y)^2) - x f(x)
$$
for all real numbers $x, y$.
$$
f(xf(y) + y^2) = f((x+y)^2) - x f(x)
$$
for all real numbers $x, y$.
MathNet 2018-part-06 — 181 problems (EN–VI) Question 60
Math Olympiad Vault · MathNet 2018-part-06 — 181 problems (EN–VI)