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OlympiadSuperchallengeOlympiad Number Theory

Olympiad Number Theory · Superchallenge problem

A function f:R→Rf:\mathbb R\to\mathbb R satisfies f(x2+y)=f(x)2+yf(x^2 + y) = f(x)^2 + y for all real x,yx, y. Compute f(7)f(7).