Problem 30

Algebra Level 4

\[(a^2+b^2+c^2)^3\leq K(a^3+b^3+c^3)^2\]

Given that \(a,b\) and \(c\) are positive reals and \(K\) is the minimum value satisfy this inequality holds. Find \(K\).


This problem was in Singapore Mathematical olympiad.
This problem is in this Set.
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