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

Revision as of 20:40, 17 July 2017

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 $a+b+c+d=4$ .

.

Revision as of 00:55, 14 June 2017 (view source) Too good (talk \| contribs) (→‎Problem) ← Older edit		Revision as of 20:40, 17 July 2017 (view source) Justinjbd (talk \| contribs) (→‎Solution) Newer edit →
Line 8:		Line 8:

	==Solution==		==Solution==
		+	.