MathDB
Regional Olympiad - FBH 2018 Grade 9 Problem 2

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2018

September 18, 2018
number theorySetsequal sets

Problem Statement

Determine all triplets (a,b,c)(a,b,c) of real numbers such that sets {a2−4c,b2−2a,c2−2b}\{a^2-4c, b^2-2a, c^2-2b \} and {a−c,b−4c,a+b}\{a-c,b-4c,a+b\} are equal and 2a+2b+6=5c2a+2b+6=5c. In every set all elements are pairwise distinct
Back to ProblemsView on AoPS