DDuino Posted April 27, 2011 Report Share Posted April 27, 2011 hi guys...i am trying to solve something...the teacher has given us to solve by using the moivre's theorem the equation z^3=1do you know if i can solve simply by simplifying z^3-1=....the normal way to solve with 2 brackets and then finding 3 solution...morover...does anybody know a unit cercle with centre origin?thx Link to post Share on other sites More sharing options...
Simus Posted April 27, 2011 Report Share Posted April 27, 2011 De Moivre's would be the best way to solve that. However, I think that the only solution which works is z=1.The other method you suggested might also work but its very time consuming. Link to post Share on other sites More sharing options...
DDuino Posted April 27, 2011 Author Report Share Posted April 27, 2011 but is factorizing related to the Moivre's theorem?when i factorize and get that equals 0...i get 3 answers which i think are the right one...apart from this...you might now...then the task is extended to solve Z^n= i...same by using Moivre's theorem...any ideas?tips..? Link to post Share on other sites More sharing options...
IB-Adam Posted April 27, 2011 Report Share Posted April 27, 2011 (edited) As it is powered to 3 there are 3 solutions. z^3=1 z^3 = cis(0+k2π) ( I hope you know complex numbers... cis(x) = cos(x) + isin(x) ) k is just a whole number[Deleted] Edited May 1, 2011 by Keel Answer to Internal Assessment 1 Link to post Share on other sites More sharing options...
DDuino Posted April 27, 2011 Author Report Share Posted April 27, 2011 that i got the same...thanks very much though...but any tips for z^n=i? Link to post Share on other sites More sharing options...
IB-Adam Posted April 27, 2011 Report Share Posted April 27, 2011 (edited) that i got the same...thanks very much though...but any tips for z^n=i?[Deleted]Now, you do the rest, but I belive I have helped you too much Edited May 1, 2011 by Keel Answer to Internal Assessment Link to post Share on other sites More sharing options...
DDuino Posted April 28, 2011 Author Report Share Posted April 28, 2011 (edited) ok..that is clear...the only bit i did not get was the last one..[Deleted] Edited May 1, 2011 by Keel Answer to Internal Assessment Link to post Share on other sites More sharing options...
IB-Adam Posted April 28, 2011 Report Share Posted April 28, 2011 (edited) [Deleted] Edited May 1, 2011 by Keel Answer to Internal Assessment Link to post Share on other sites More sharing options...
DDuino Posted April 28, 2011 Author Report Share Posted April 28, 2011 dont know why i cannot get out from it..hmm...is there like a law that says it...?sorry guys Link to post Share on other sites More sharing options...
IB-Adam Posted April 30, 2011 Report Share Posted April 30, 2011 dont know why i cannot get out from it..hmm...is there like a law that says it...?sorry guysI think it's called the exponential rule . Revise revise Link to post Share on other sites More sharing options...
Mahuta ♥ Posted May 1, 2011 Report Share Posted May 1, 2011 If this is for an IA, please stop it. You are cheating Domen and asking for direct answers, do you want to get banned or something? Or the question should be, do you want to get disqualified?? Please stop it, go do your own work, these people solved the whole thing for you.EDIT: Answers removed by moderator. Link to post Share on other sites More sharing options...
Mahuta ♥ Posted May 1, 2011 Report Share Posted May 1, 2011 Automatic generated message This topic has been closed by a moderator. Reason: Topic giving answers to IAs. If you disagree to this action, please report this post, and a moderator or administrator will reconsider it. Kind regards, IB Survival Staff Link to post Share on other sites More sharing options...
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