Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. (2) let ?n := e2?i/n for n = 2,3,.... (a) show t

(2) Let ?n := e2?i/n for n = 2,3,.... (a) Show that the n’th roots of...

60.1K

Verified Solution

Question

Advance Math

(2) Let ?n := e2?i/n for n = 2,3,....

  1. (a) Show that the n’th roots of unity (i.e. the solutions to zn= 1) are

    ?nk fork=0,1,...,n?1.

  2. (b) Show that these sum to zero, i.e.

    1+? +?2 +···+?n?1 =0.nnn

  3. (c) Let z? = r?ei?? be a given non-zero complex number. Showthat the n’th roots of z? are

    c??nk fork=0,1,...,n?1 where c? := ?n r?ei??/n.

Answer & Explanation Solved by verified expert
4.0 Ratings (538 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Basic Math
1.2K views

You started taking the bus to work. The local transit authority says that a bus should...

Chemistry
1.2K views

. In general what are the differences between hard ionization and soft ionization sources? What kind...

Chemistry
1.2K views

what are the different factors thar alter the rates of chemcial reactions?

Medical Sciences
1.2K views

List the steps of Glycolysis

Psychology
1.2K views

. Mill explains that there are different forms of pleasure, and that a properly formulated utilitarianism...

Physics
1.2K views

Use well labeled diagrams to explain the following two phenomena: the first is that at sunset...

Basic Math
1.2K views

A Gallup poll wants to determine the mean number of books Americans read each year....

Accounting
1.2K views

Problem 10-2A Record equity transactions and indicate the effect on the balance sheet...

Accounting
1.2K views

which chart is the best show the best and worst performance for the accounts(overall and...

Accounting
1.2K views

omputing Gross Profit The following data were taken from the accounts of Burnside Bedknobs, a...

Finance
1.2K views

If you buy a bond yielding 2%, how much will you have after 1 year?...

Accounting
1.2K views

7-1B CVP Analysis, Margin of Safety, Degree of Operating Leverage Floras Flats...