2017 USAMO Problems/Problem 6: Difference between revisions
Mathcounts46 (talk | contribs) 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..." |
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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== | |||
See here: https://artofproblemsolving.com/community/c5t211539f5h1434574_looks_like_mount_inequality_erupted_ | |||
or: | |||
https://www.youtube.com/watch?v=LSYP_KMbBNc | |||
Latest revision as of 19:57, 26 December 2017
Problem
Find the minimum possible value of
![\[\frac{a}{b^3+4}+\frac{b}{c^3+4}+\frac{c}{d^3+4}+\frac{d}{a^3+4},\]](http://latex.artofproblemsolving.com/9/5/3/9530f2f6673410cf7229b9d8416c0a5c296467ae.png)
given that 
are nonnegative real numbers such that 
.
Solution
See here: https://artofproblemsolving.com/community/c5t211539f5h1434574_looks_like_mount_inequality_erupted_
or:
