MathCastle
ChallengeMedium

Challenge · Medium problem

A function ff satisfies f(m+n)+f(m−n)=2f(m)+2f(n)f(m+n)+f(m-n)=2f(m)+2f(n) for all reals m,nm,n, and f(1)=3f(1)=3. Find f(5)f(5).

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