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