IMO Shortlist 1961 problem 1


Kvaliteta:
  Avg: 0,0
Težina:
  Avg: 4,0
Dodao/la: arhiva
2. travnja 2012.
LaTeX PDF
Solve the system of equations: x+y+z=a x^2+y^2+z^2=b^2 xy=z^2 where a and b are constants. Give the conditions that a and b must satisfy so that x,y,z are distinct positive numbers.
Izvor: Međunarodna matematička olimpijada, shortlist 1961