MathDB

3

Part of 2008 Ukraine Team Selection Test

Problems(1)

Ukraine 2008

Source: Ukrainian TST 2008 Problem 3

7/30/2008
For positive a,b,c,d a, b, c, d prove that (a \plus{} b)(b \plus{} c)(c \plus{} d)(d \plus{} a)(1 \plus{} \sqrt [4]{abcd})^{4}\geq16abcd(1 \plus{} a)(1 \plus{} b)(1 \plus{} c)(1 \plus{} d)
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