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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]
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