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Find all of the positive real numbers like x,y,z, such that :

1.) x + y + z = a + b + c

2.) 4xyz = a^2x + b^2y + c^2z + abc

Proposed to Gazeta Matematica in the 80s by VASILE CÎRTOAJE and then by Titu Andreescu to IMO 1995.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1926IMO Shortlist 1995 problem S60
1925IMO Shortlist 1995 problem S50
1924IMO Shortlist 1995 problem S40
1923IMO Shortlist 1995 problem S35
1921IMO Shortlist 1995 problem S10
1916IMO Shortlist 1995 problem NC43