Difference between revisions of "2017 USAMO Problems/Problem 6"

(Created page with "==Problem== Find the minimum possible value of <cmath>\frac{a}{b^3+4}+\frac{b}{c^3+4}+\frac{c}{d^3+4}+\frac{d}{a^3+4},</cmath> given that <math>a,b,c,d,</math> are nonnega...")
 
m (just added the solutions title)
Line 6: Line 6:
  
 
given that <math>a,b,c,d,</math> are nonnegative real numbers such that <math>a+b+c+d=4</math>.
 
given that <math>a,b,c,d,</math> are nonnegative real numbers such that <math>a+b+c+d=4</math>.
 +
 +
 +
==Solution==

Revision as of 01:52, 14 June 2017

Problem

Find the minimum possible value of

\[\frac{a}{b^3+4}+\frac{b}{c^3+4}+\frac{c}{d^3+4}+\frac{d}{a^3+4},\]

given that $a,b,c,d,$ are nonnegative real numbers such that $a+b+c+d=4$.


Solution