Find all triples (α,β,γ) of positive real numbers for which the expression K=α+3γα+2β+γ+4βα+β+2γ−8γα+β+3γobtains its minimum value.
Source: Cyprus IMO TST 2018, Problem 3
Tags: inequalities
Find all triples (α,β,γ) of positive real numbers for which the expression K=α+3γα+2β+γ+4βα+β+2γ−8γα+β+3γobtains its minimum value.