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August 31st, 2012, 02:59 AM  #1 
Member Joined: Feb 2012 Posts: 39 Thanks: 0  Complex equation
I'm perplexed by the following problem: "Find the number of solutions for n>2 and n€N of the following equation: So far I have worked out: Z=0 is always a solution. I can rewrite the original equation like this: Furthermore, I can see the following: so, . Now, I have to solve . I have no clue how to go about, so any help would be greatly appreciated. 
August 31st, 2012, 03:35 AM  #2 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Complex equation Implies and for k = 0,1,2,...,n for k = 0,1,2,...,n and we are done. EDIT : @skipjack : Yes, sorry. I have edited that. 
September 2nd, 2012, 01:13 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,471 Thanks: 2039 
Dividing 2k? by n gives 2k?/n, not k?/n.


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