olymmath

IMO 1984 Problem 1

  • Day 1

Prove that 0≤yz+zx+xy−2xyz≤7270\le yz+zx+xy-2xyz\le{7\over27} , where x,yx,y and zz are non-negative real numbers satisfying x+y+z=1x+y+z=1 .

Dataset text AI-MO AoPS. Quoted with source.

Official text: IMO 1984 official English paper, page 1.

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