May 5th, 2019, 11:20 AM  #1 
Newbie Joined: Oct 2017 From: Egypt Posts: 15 Thanks: 0  I found new solution for this problem hi every on for omega "cubic roots for 1" what do you think ? 
May 5th, 2019, 01:31 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,806 Thanks: 716 
I think you need to clarify what you are doing.

May 6th, 2019, 12:15 PM  #4 
Newbie Joined: Oct 2017 From: Egypt Posts: 15 Thanks: 0 
If you don't understand anything, see video or reply to me.
Last edited by skipjack; May 6th, 2019 at 01:14 PM. 
May 6th, 2019, 12:42 PM  #5 
Global Moderator Joined: May 2007 Posts: 6,806 Thanks: 716 
Small print is an obstacle.

May 6th, 2019, 12:44 PM  #6 
Newbie Joined: Oct 2017 From: Egypt Posts: 15 Thanks: 0 
Hmm, I can't type omega or power in your forum?? You can save them and zoom. Or open in new tape and zoom. What is your opinion? Last edited by skipjack; May 6th, 2019 at 01:15 PM. 
May 6th, 2019, 01:05 PM  #7 
Newbie Joined: Oct 2017 From: Egypt Posts: 15 Thanks: 0 
Please if you like my explanation hit like

May 6th, 2019, 01:14 PM  #8 
Global Moderator Joined: Dec 2006 Posts: 20,921 Thanks: 2203 
As ω + ω² = 1, (1  ω)(1  ω²) = 1  ω  ω² + ω³ = 2 + 1 = 3. Similarly, each successive pair of factors has product 3. 
May 6th, 2019, 02:08 PM  #9 
Newbie Joined: Oct 2017 From: Egypt Posts: 15 Thanks: 0 
But why you are taking successive pairs? I think 2n means the number of our factors. Last edited by skipjack; May 6th, 2019 at 03:38 PM. 
May 6th, 2019, 03:39 PM  #10 
Global Moderator Joined: Dec 2006 Posts: 20,921 Thanks: 2203 
As there are 2n factors, there are n pairs of factors. I used successive pairs of factors because each such pair has product 3. 

Tags 
(1ω)(1ω^2), cube roots of unity, cubic roots of unity, problem, yahia kamal 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Oh yaa! Found it!!  Hardik  New Users  0  October 18th, 2015 10:06 AM 
Einstein's Riddle. Alternative solution is found.  Einstein's_Riddle_2  Applied Math  4  June 18th, 2015 05:38 AM 
How was the formula for kinetic energy found, and who found it?  Ganesh Ujwal  Physics  3  January 5th, 2015 01:58 AM 
My found integral vs Wolfram Alpha's found integral  Obsessed_Math  Calculus  4  February 9th, 2012 03:18 PM 
trying to make a solution (liquid solution...) problem...  TreeTruffle  Algebra  2  March 27th, 2010 01:22 AM 