Find all real solutions x, y, z of the following system of equations:

x³ + y = 12x + 20
2y³ + z = 24y + 36
3z³ + x = 36z + 52

I had originally intended the problem to read as "positive real solutions" instead of  " real solutions" in the first line.

However, noting the solutions received so far, I am not so sure about the unviability of the problem as presented above.  

Edited on July 30, 2006, 11:46 am

Posted by K Sengupta on 2006-07-30 11:36:41