olymmath

IMO 1986 Problem 5

  • Day 2

Find all functions ff defined on the non-negative reals and taking non-negative real values such that: f(2)=0,f(x)≠0f(2)=0,f(x)\ne0 for 0≤x<20\le x<2 , and f(xf(y))f(y)=f(x+y)f(xf(y))f(y)=f(x+y) for all x,yx,y .

Dataset text AI-MO AoPS. Quoted with source.

Official text: IMO 1986 official English paper, page 2.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Locator imo/1986/p5 · Tag CGKA66PGGQ · Edit this page on GitHub · Keys: j next, k previous