INEQUALITY'S BLOG

July 12, 2011

Problem 232 (van khea)

Filed under: Problem by Van Khea — KKKVVV @ 12:03 am

Let a, b, c be the lengths of the sides of a trangle such that abc=1 . Prove that: \displaystyle (a-1)^2+(b-1)^2+(c-1)^2\geq \frac{1}{2}((ab-1)^2+(bc-1)^2+(ca-1)^2)

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