March 5th, 2011, 07:03 PM  #1 
Member Joined: Jan 2011 Posts: 40 Thanks: 0  Maximum value
If and and . Then 
March 5th, 2011, 09:58 PM  #2 
Member Joined: Feb 2011 Posts: 79 Thanks: 0  Re: Maximum value
Look at the 'integer solutions' section of: http://www.wolframalpha.com/input/?i=x^2+%2B+y^2+%2B+z^2+%3D+6+and+x%2By%2Bz%3D0 Calculate the value of the expression for each set of solutions The maximum value is your answer 
March 5th, 2011, 10:02 PM  #3 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Maximum value 
March 5th, 2011, 10:56 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,633 Thanks: 2080 
The variables are not required to be integers! The expression is to be maximized, not minimized. The maximum seems to be 6, achieved when x, y and z are the zeros of r³  3r + 1. 
March 11th, 2011, 07:08 PM  #5 
Member Joined: Jan 2011 Posts: 40 Thanks: 0  Re: Maximum value
skipjack you are saying right. explanation plz. thanks 
March 11th, 2011, 07:10 PM  #6  
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0  Quote:
 

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