Results 1 to 4 of 4

Math Help - Need help solving a complex numbers problem

  1. #1
    Newbie
    Joined
    Dec 2012
    From
    Canada
    Posts
    11

    Need help solving a complex numbers problem

    How do you graph 2((z+zbar)/2) + ((z-zbar)/2i) = 5 ?
    I've been stuck on this problem where z is a complex number z=x+iy and zbar is the conjugate of z. A little help would be very appreciated thanks in advance (:
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,564
    Thanks
    1425

    Re: Need help solving a complex numbers problem

    One possibility is to set \displaystyle \begin{align*} z = x + i\,y \end{align*} so that \displaystyle \begin{align*} \overline{z} = x - i\,y \end{align*}. Substitute these into your equation and see if you can solve for x and y...
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Dec 2012
    From
    Canada
    Posts
    11

    Re: Need help solving a complex numbers problem

    Thanks I tried doing what you said and it's more simple than I thought unless I didn't do the right thing... I got y=-2x+5
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,564
    Thanks
    1425

    Re: Need help solving a complex numbers problem

    I get that as well. So it's obviously a line in the complex plane that contains all the points satisfying the given equation
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Solving a polynomial with complex numbers
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: November 25th 2012, 01:01 AM
  2. Complex numbers: solving equation
    Posted in the Algebra Forum
    Replies: 6
    Last Post: September 12th 2012, 12:20 AM
  3. solving complex numbers
    Posted in the Calculus Forum
    Replies: 7
    Last Post: April 25th 2012, 07:37 AM
  4. Solving Complex Numbers.
    Posted in the Calculus Forum
    Replies: 3
    Last Post: December 8th 2010, 09:58 PM
  5. Solving |e^z| using complex numbers
    Posted in the Pre-Calculus Forum
    Replies: 7
    Last Post: October 24th 2010, 06:10 AM

Search Tags


/mathhelpforum @mathhelpforum