Results 1 to 2 of 2

Math Help - Complex no. problem......

  1. #1
    Newbie
    Joined
    Jan 2010
    Posts
    3

    Complex no. problem......

    Please solve my following problems.....


    a)Find the complex number z , in the form a + ib that satisfy the equation z^2 = -3 +4i



    B)
    Give the geometrical representation of the product of the two complex numbers.



    c) if zz' - 5iz = 10 - 20i , find the possible values of z.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by asnali View Post
    Please solve my following problems.....


    a)Find the complex number z , in the form a + ib that satisfy the equation [FONT=&quot] z^2 = -3 +4i
    see here

    B) Give the geometrical representation of the product of the two complex numbers.
    For two complex numbers z_1 and z_2 we wish to geometrically interpret z_1z_2.

    This is probably easier to visualize if you write the complex numbers in polar form, but just to describe it to you. This is taken from Bak's Complex Analysis: "If we form a triangle with two sides given by the vectors (originating from 0 to) 1 and z_1 and then form a similar triangle with the same orientation and the vector z_2 corresponding to the vector 1, the vector which corresponds to z_1 will be z_1z_2."

    c) if zz' - 5iz = 10 - 20i , find the possible values of z.
    write z = x + iy so that \bar z = x - iy. recall that z \bar z = |z|^2 = x^2 + y^2

    Thus we have x^2 + y^2 - 5i(x + iy) = 10 - 20i

    Now expand the brackets on the left, equate coefficients and solve the resulting system of equations to find x and y and hence, z
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. complex problem
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: March 24th 2011, 08:43 AM
  2. complex problem
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: October 12th 2010, 06:13 AM
  3. complex nos problem
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: October 12th 2010, 12:45 AM
  4. Complex Problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 6th 2009, 04:39 AM
  5. Complex problem
    Posted in the Advanced Math Topics Forum
    Replies: 4
    Last Post: May 27th 2006, 07:27 PM

Search Tags


/mathhelpforum @mathhelpforum