olymmath

ISL 2014 A6

    Find all functions f:Z→Zf: \mathbb{Z} \rightarrow \mathbb{Z} such that n2+4f(n)=f(f(n))2n^{2}+4 f(n)=f(f(n))^{2} for all n∈Zn \in \mathbb{Z}. (United Kingdom)

    Dataset text NuminaMath olympiads-ref. Quoted with source.

    Official text: IMO 2014 Shortlist booklet, page 6.

    Solutions

    Official solution Solution 1 by the IMO Problem Selection Committee

    The terms of the source let olymmath link to this solution but not copy it. Read the solution (IMO official site).

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