olymmath

IMO 2002 Problem 5

  • Day 2

Find all functions ff from the reals to the reals such that (f(x)+f(z))(f(y)+f(t))=f(xy−zt)+f(xt+yz)\left(f(x)+f(z)\right)\left(f(y)+f(t)\right)=f(xy-zt)+f(xt+yz) for all real x,y,z,tx,y,z,t .

Dataset text AI-MO AoPS. Quoted with source.

Official text: IMO 2002 official English paper, page 1.

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