Results 1 to 3 of 3

Math Help - Parametric Equation Problem

  1. #1
    Newbie
    Joined
    Jun 2012
    From
    Georgia
    Posts
    24

    Parametric Equation Problem

    x^2-6xy+10y^2=4

    find all the integer pairs of x and y which satisfiy the equation.

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Jan 2008
    From
    UK
    Posts
    484
    Thanks
    65

    Re: Parametric Equation Problem

    You can solve for x and then choose y values that give integer values of x.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,628
    Thanks
    430

    Re: Parametric Equation Problem

    Quote Originally Posted by Telo View Post
    x^2-6xy+10y^2=4

    find all the integer pairs of x and y which satisfiy the equation.

    Thanks!
    x^2 - 6xy + 10y^2 - 4 = 0

    a = 1 , b = -6y , c = 10y^2 - 4

    the quadratic formula yields ...

    x = 3y \pm \sqrt{4 - y^2}

    since x is an integer value, the value under the radical must be a positive, perfect square value ... finish it.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Parametric system of equation problem
    Posted in the Algebra Forum
    Replies: 7
    Last Post: June 14th 2012, 08:29 AM
  2. Parametric equation problem
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: September 17th 2011, 04:05 AM
  3. Parametric equation problem?
    Posted in the Pre-Calculus Forum
    Replies: 7
    Last Post: April 3rd 2011, 11:02 AM
  4. one more parametric equation problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 12th 2008, 07:23 PM
  5. Parametric Equation Problem
    Posted in the Calculus Forum
    Replies: 0
    Last Post: April 29th 2007, 01:31 PM

Search Tags


/mathhelpforum @mathhelpforum