IMO 2018 Shortlist A7
Find the maximal value of S “ 3 c a b 7 c b c 7 3 c c d 7 c d a 7 , where a,b,c,d are nonnegative real numbers whi h sat...
Category: Algebra
Problem
Find the maximal value of
S “ 3
c
a
b 7
c
b
c 7 3
c
c
d 7
c
d
a 7 , where a,b,c,d are nonnegative real numbers whi h satisfy a b c d “ 100.
(Taiwan) 4 Cluj-Napo a Romania, 314 July 2018
Combinatori s