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Prove that \frac{a}{b+2c+3d} +\frac{b}{c+2d+3a} +\frac{c}{d+2a+3b}+ \frac{d}{a+2b+3c} \geq \frac{2}{3} for all positive real numbers a,b,c,d.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1902IMO Shortlist 1995 problem A40
1930IMO Shortlist 1996 problem A41
1985IMO Shortlist 1998 problem A310
2013IMO Shortlist 1999 problem A32
2151IMO Shortlist 2004 problem A513
2236IMO Shortlist 2007 problem A39