Results 1 to 8 of 8

Math Help - Help with Complex Numbers

  1. #1
    Newbie
    Joined
    Apr 2012
    From
    Ireland, Dublin
    Posts
    5

    Help with Complex Numbers

    Hi guys, I am new here and I would really appreciate some help. I would like to know how to solve these questions please:

    Q1. (a) Vertify that the complex number z1 = 3-2i is a root of the equation z2-6z + 13=0 and find z1, the other root of this equation.

    (b) On the argand diagram plot the complex numbers z1 and z2

    (c) z3, is the image of z1 under the central symmetry in z2. Express z3 in the form a + bi and plot it on the argand diagram.

    (d) Investigate if z1-z2 = z1-z2

    Thank you!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,383
    Thanks
    1474
    Awards
    1

    Re: Help with Complex Numbers

    Quote Originally Posted by Molly1313 View Post

    Q1. (a) Vertify that the complex number z1 = 3-2i is a root of the equation z2-6z + 13=0 and find z1, the other root of this equation.

    (b) On the argand diagram plot the complex numbers z1 and z2

    (c) z3, is the image of z1 under the central symmetry in z2. Express z3 in the form a + bi and plot it on the argand diagram.

    (d) Investigate if z1-z2 = z1-z2
    Just what part of this do you not understand?
    See if 3+2i is also a root.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Apr 2012
    From
    Ireland, Dublin
    Posts
    5

    Re: Help with Complex Numbers

    The whole question unfortunately
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,383
    Thanks
    1474
    Awards
    1

    Re: Help with Complex Numbers

    Quote Originally Posted by Molly1313 View Post
    The whole question unfortunately
    Do you understand how to evaluate (3-2i)^2~\&~-6(3-2i)~?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Apr 2012
    From
    Ireland, Dublin
    Posts
    5

    Re: Help with Complex Numbers

    Em, no. I feel so dumb
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,383
    Thanks
    1474
    Awards
    1

    Re: Help with Complex Numbers

    Quote Originally Posted by Molly1313 View Post
    Em, no. I feel so dumb
    You require a live tutor. We do not provide such a service here.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Newbie
    Joined
    Apr 2012
    From
    Ireland, Dublin
    Posts
    5

    Re: Help with Complex Numbers

    Nevermind, thanks anyway
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Newbie
    Joined
    May 2012
    From
    Dublin
    Posts
    1

    Re: Help with Complex Numbers

    Hey I have that exact question to do as well I have done part a,b and d but i can't do c can somebody help me please
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. raising complex numbers to complex exponents?
    Posted in the Advanced Math Topics Forum
    Replies: 10
    Last Post: March 25th 2011, 10:02 PM
  2. Replies: 1
    Last Post: September 27th 2010, 03:14 PM
  3. Imaginary numbers/complex numbers
    Posted in the Algebra Forum
    Replies: 7
    Last Post: August 25th 2009, 11:22 AM
  4. Replies: 2
    Last Post: February 7th 2009, 06:12 PM
  5. Replies: 1
    Last Post: May 24th 2007, 03:49 AM

Search Tags


/mathhelpforum @mathhelpforum