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April 20th, 2010, 11:18 AM  #1 
Newbie Joined: Apr 2010 Posts: 4 Thanks: 0  Some math expert? look at this
Consider the equation a ? x ? 4 Z_64 (the integers modulo 64), where a is an integer 0 ? a ? 63 For what values of the equation has a one or more solutions? (Ie for what values of a there are one or more x, so that a ? x ? 4 mod. 64? 
April 21st, 2010, 04:33 PM  #2 
Member Joined: Mar 2010 Posts: 32 Thanks: 0  Re: Some math expert? look at this
If then there's no chance because then for some . Otherwise with and . Then will be a solution, where . So the answer is when is not a multiple of 8. 

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