IMO Shortlist 1979 problem 6


Kvaliteta:
  Avg: 0,0
Težina:
  Avg: 0,0
Dodao/la: arhiva
2. travnja 2012.
LaTeX PDF
Find the real values of p for which the equation
\sqrt{2p+ 1 - x^2} +\sqrt{3x + p + 4} = \sqrt{x^2 + 9x+ 3p + 9}
in x has exactly two real distinct roots.(\sqrt t means the positive square root of t).
Izvor: Međunarodna matematička olimpijada, shortlist 1979