MathDB

6

Part of 2020 Caucasus Mathematical Olympiad

Problems(1)

Real numbers on a circle

Source: 2020 Caucasus Mathematical Olympiad Seniors Problem 6

3/16/2020
Morteza wishes to take two real numbers SS and PP, and then to arrange six pairwise distinct real numbers on a circle so that for each three consecutive numbers at least one of the two following conditions holds: 1) their sum equals SS 2) their product equals PP. Determine if Morteza’s wish could be fulfilled.
number theory