IMO Shortlist 2002 problem N4


Kvaliteta:
  Avg: 0,0
Težina:
  Avg: 7,0
Dodao/la: arhiva
2. travnja 2012.
LaTeX PDF
Is there a positive integer m such that the equation {1\over a}+{1\over b}+{1\over c}+{1\over abc}={m\over a+b+c} has infinitely many solutions in positive integers a,b,c?
Izvor: Međunarodna matematička olimpijada, shortlist 2002