Problem 6

$\large \frac{abc(a+b+c)}{(a^2+b^2+c^2)^2}$

Given that $a,b,c$ are reals and are non-zero number at the same time and $a^3b+b^3c+c^3a=0$ . Let the maximum value of the expression above be $A$ . Compute $\left \lfloor 60000A \right \rfloor$ .

This problem is in this Set .