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March 8th, 2012, 09:47 PM  #1 
Senior Member Joined: Jan 2009 Posts: 344 Thanks: 3  Find the largest value for which the system has a solution
For positive integer values of m and n find the largest value for which the system; has a solution. 
March 9th, 2012, 05:27 AM  #2  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Re: Find the largest value for which the system has a soluti Hello, sivela! I have a start on this problem . . . Can anyone finish it? Quote:
[color=beige]. . . . . . . . . [/color] [color=beige]. . . . . . [/color] [color=beige]. . . . . . [/color] [color=beige]. . . . . . [/color] Now what?  
March 9th, 2012, 10:27 AM  #3 
Senior Member Joined: Feb 2012 Posts: 628 Thanks: 1  Re: Find the largest value for which the system has a soluti
We have that ; , which we observe is true if both and are 0. Using this observation, we get the solution , from which . I wonder if there are other solutions... 

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