1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Prove that

  1. Jan 28, 2009 #1
    1. The problem statement, all variables and given/known data

    if z = 1/sqrt 2 + i/sqrt2

    2. Relevant equations

    show that z + z4n+1 = 0,
    when n is any odd integer.

    if n is an even integer, find z + z4n+1 in rectangular form.

    3. The attempt at a solution

    I have no clue where to start...
     
  2. jcsd
  3. Jan 28, 2009 #2
    What's z in polar form? Also note that [tex] \text{z} + \text{z} ^ \text{4n+1} = \text{z} * ( 1 + \text{z} ^ \text{4n} )=0 [/tex]
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Prove that
  1. Prove by Induction (Replies: 17)

  2. An inequality to prove (Replies: 16)

  3. Proving Identities (Replies: 13)

  4. Prove Divisibility (Replies: 7)

  5. Proving inequality (Replies: 16)

Loading...