APMO 2019 P5

Discussion on Asian Pacific Mathematical Olympiad (APMO)
samiul_samin
Posts: 1007
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 $y$.

omi16
Posts: 2
Joined: Sun Dec 27, 2020 8:25 pm

Re: APMO 2019 P5

Unread post by omi16 » Sun Dec 27, 2020 8:32 pm

:oops: :oops:

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