MathDB

6

Part of 2014 IMAC Arhimede

Problems(1)

\Sum_{cyclic}\frac{a-\sqrt[3]{bcd}}{a+3(b+c+d)}\ge 0 for a,b,c,d>0

Source: IMAC Arhimede 2014 p6

5/6/2019
If a,b,c,da, b, c, d are positive numbers, prove that ∑cyclica−bcd3a+3(b+c+d)≥0\sum_{cyclic}\frac{a-\sqrt[3]{bcd}}{a+3(b+c+d)}\ge 0
algebrainequalitiescyclic inequalityfour variables