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!

How to solve this complex number question

  1. Nov 20, 2008 #1
    http://img353.imageshack.us/img353/672/85253506or3.gif

    in normal equation i equalize the "Real" part with the real part
    and the "Im" part with the Im part on the other size of the equation
    but here there is | | part

    which makes every thing a^2 + b^2 and it turns everything to "real"

    ??
     
  2. jcsd
  3. Nov 20, 2008 #2

    berkeman

    User Avatar

    Staff: Mentor

    Why do you have 2 equations and 1 unknown?
     
  4. Nov 20, 2008 #3
    "z" is a complex number which i need to split into a real and imaginary parts
     
  5. Nov 20, 2008 #4

    berkeman

    User Avatar

    Staff: Mentor

    Sorry, I'm not tracking you on this one. Why are there two equations shown?

    WW = XX = YY

    That overconstrains the solution for z. One equation should be enough to solve for z, it would seem?
     
  6. Nov 20, 2008 #5
    z is a complex number
    its not a single variable
    z=a+ib
    i need to find Z
     
  7. Nov 20, 2008 #6

    berkeman

    User Avatar

    Staff: Mentor

    Ah, I think I see now.

    Try squaring the whole side of each equation, and not the individual terms. You will still have real and imaginary parts to the squared equations.
     
  8. Nov 20, 2008 #7

    berkeman

    User Avatar

    Staff: Mentor

    So like

    z+i = z-1

    z^2 + 2iz - 1 = etc. and gather terms on one side = 0

    Then do the other equation, and you should be able to solve for RE{z} and Im{z}.
     
  9. Nov 20, 2008 #8

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    It's probably easier to split it into to real and imaginary parts right off the bat. If z=a+bi, what is |z+i| in terms of a and b? How about the other two absolute values?
     
  10. Nov 21, 2008 #9
    You want the absolute value of [tex] z_1 [/tex] = z+1= a+(b+1)*i ?
     
  11. Nov 21, 2008 #10

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    I'm gonna guess you meant z+i=a+(b+1)*i, not z+1.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: How to solve this complex number question
Loading...