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Homework Help: Complex Numbers problem

  1. Jan 17, 2010 #1
    1. The problem statement, all variables and given/known data

    Find real numbers p and q such that the following equation is true:

    [tex]\frac{p}{q+5i}=4e^{\frac{-i\pi}{4}}[/tex]

    2. Relevant equations

    Euler's formula

    3. The attempt at a solution

    Ok so I converted the right side to rectangular form using Euler's formula and solved for p. But I don't really know what do after that.

    I got [tex]p=5\sqrt{2}q+25\sqrt{2}+25i\sqrt{2}-5qi\sqrt{2}[/tex] but I don't know how to simplify this any further.
     
  2. jcsd
  3. Jan 17, 2010 #2
    Maybe [tex]p[/tex] is equal to the real part of the right side and the imaginary part must equal zero. Which would make [tex]q=5[/tex] and [tex]p=50\sqrt{2}[/tex]?
     
  4. Jan 17, 2010 #3

    diazona

    User Avatar
    Homework Helper

    Yep, that'll do it.
     
  5. Jan 17, 2010 #4
    Haha ok thank you. I guess I didn't need to post this after all.
     
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