Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Please help with this complex number question

  1. Apr 22, 2012 #1
    find all solutions to z^2+4z ̅+4=0 where z is a complex number. Please help with this qn i'm having difficulty. thanks
  2. jcsd
  3. Apr 22, 2012 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    It's a quadratic polynomial. Do you not know how to factor these/the quadratic formula?
  4. Apr 22, 2012 #3
    so is the answer just 2i^2???
  5. Apr 22, 2012 #4
    or is it 2?
  6. Apr 23, 2012 #5
    That's a conjugate isn't it?

    Suppose so then you have:


    Then let [itex]z=a+bi[/itex]



    equate real and imaginaries to zero. That's two equations in two unknowns. Solve them.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook