# A real mathematical challenge for the members

Yesterday I raised a thread purely for entertainment purpose. Today I am going to table a real mathematical challenge for the members of the site.Here is the challenge:-

The mathematics-loving king announces a mathematics competition for the subjects of his kingdom. He displays an equation on the arch of his palace and challenges his subjects to solve the equation. He promises that anyone who will solve the equation first, will get the princess for marriage.

The equation is:

(x^3+y^3+z^3) * (x+y+z) =42

[x, y, z are positive integers greater than zero; * means multiplication]

Any member who solves the equation will not only get the hand of the princess in marriage, but also a beautiful virtual gift from my side.