Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By princeps

Math Help - Help with complex number equation

  1. #1
    Junior Member
    Joined
    Mar 2013
    From
    Australia
    Posts
    63

    Help with complex number equation

    The Question is:
    Find all complex numbers 'w' and 'z' satisfying:

    (1/w)+(1/z)=(1/wz) and (2wz)-(z^2)-1=0

    Any help at all would be very muchly appreciated
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Nov 2011
    From
    Crna Gora
    Posts
    420
    Thanks
    64

    Re: Help with complex number equation

    Rewrite system of equations into form :

    \begin{cases}w+z=1 \\2wz-z^2-1=0 \end{cases}

    and set conditions z,w \neq 0 ,therefore :

    \begin{cases}w=1-z \\2wz-z^2-1=0 \end{cases}

    hence :

    2(1-z)\cdot z-z^2-1=0

    Solve quadratic equation .
    Thanks from Prove It
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Complex number equation
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: July 8th 2011, 03:38 AM
  2. Complex number equation
    Posted in the Algebra Forum
    Replies: 5
    Last Post: March 12th 2011, 04:58 AM
  3. Complex number equation
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: October 8th 2009, 07:36 PM
  4. Complex number equation
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: August 12th 2008, 11:46 PM
  5. Complex number equation
    Posted in the Algebra Forum
    Replies: 1
    Last Post: December 17th 2006, 05:17 AM

Search Tags


/mathhelpforum @mathhelpforum