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Solve the complex analysis problem

  1. Feb 27, 2012 #1
    The problem is attached

    regards,

    chwala ken
     

    Attached Files:

  2. jcsd
  3. Feb 27, 2012 #2
    Nope dude, that's incorrect. x and y are wrong. Try forming a real-valued denominator and then check again what x and y are.
     
  4. Mar 10, 2012 #3
    i do not get it ? A complex number has a Real part and an Imaginary part. The idea is to breakdown the expression in the form x+iy so i do not understand why you are talking of real valued denominator. Kindly expound by looking at the problem and check where i went wrong.
     
  5. Mar 10, 2012 #4
    Suppose z=1/(a+i*b)
    Then z not equal to 1/a + i*1/b
    Why? Basic fraction calculus. You cannot "split up" a fraction among its denominator, which is what you're intending. You can split it up among the nominator though, so you should make the denominator real-valued by expanding with its complex conjugate, that is
    z=(a-i*b)/((a+i*b)*(a-i*b))=(a-i*b)/(a^2+b^2)
    so your final expression would be
    a/(a^2+b^2)-i*b/(a^2+b^2)

    If you don't understand the above, my advice would be to real a bit about basics of complex numbers on wikipedia (no offense)
     
  6. Mar 12, 2012 #5
    Ha..,Thanks Susskind for the insight.
     
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