Problem 7

$\frac{H}{K+A}+\frac{K}{H+A}+\frac{A}{H+K}+S\frac{HK+KA+HA}{H^2+K^2+A^2}\geq S+\frac{3}{2}$

Given that $H,K,A$ are non-negative. Find the maximum positive real of $S$ .

Give your answer to two decimal places.

This problem is in this Set