
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
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: 20,931 Thanks: 2205 
Dividing 2k? by n gives 2k?/n, not k?/n.


Tags 
complex, equation 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Complex equation  Gustav  Algebra  10  December 6th, 2010 10:38 AM 
How to solve a complex equation?  watanuki  Complex Analysis  1  October 24th, 2009 07:37 PM 
Complex exponential equation  Luigi Castelli  Complex Analysis  3  February 23rd, 2009 07:52 AM 
roots of a complex equation  slade8200  Complex Analysis  1  February 20th, 2009 08:34 AM 
Complex numbers equation  outlander  Complex Analysis  9  February 22nd, 2008 12:57 PM 