APMO 2019 P5

Discussion on Asian Pacific Mathematical Olympiad (APMO)
User avatar
samiul_samin
Posts: 1004
Joined: Sat Dec 09, 2017 1:32 pm

APMO 2019 P5

Unread post by samiul_samin » Thu Aug 15, 2019 8:46 pm

Determine all the functions $f : \mathbb{R} \to \mathbb{R}$ such that
\[ f(x^2 + f(y)) = f(f(x)) + f(y^2) + 2f(xy) \]for all real numbers $x$ and $y$.

Post Reply