Greece National Olympiad Problem 4

Algebra Level 5

Let a,b,ca,b,c be positive real numbers with sum 66. Find the maximum value of S=a2+2bc3+b2+2ca3+c2+2ab3.S = \sqrt[3]{{{a^2} + 2bc}} + \sqrt[3]{{{b^2} + 2ca}} + \sqrt[3]{{{c^2} + 2ab}}.

This problem is part of this set.

×

Problem Loading...

Note Loading...

Set Loading...