Results 1 to 2 of 2

Math Help - Equations

  1. #1
    Newbie
    Joined
    May 2011
    Posts
    14

    Equations

    Solve the following equations for all m & n in the set of all positive integers,

    m^2 + n^2 - m = 34

     2mn - n = 22


    Need some clues.......
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Dec 2009
    From
    1111
    Posts
    872
    Thanks
    3

    Re: Equations

    Quote Originally Posted by mathlover14 View Post
    Solve the following equations for all m & n in the set of all positive integers,

    m^2 + n^2 - m = 34

     2mn - n = 22


    Need some clues.......
    Dear mathlover14,

    m^2 + n^2 - m = 34----------(1)

    2mn - n = 22---------(2)

    (1)+(2);

    (m+n)^2-(m+n)-56=0-------(This is a quadratic equation. So find the two answers for m+n)

    (1)-(2);

    (m-n)^2-(m-n)-12=0--------(Find the two answers for m-n)

    So ultimately you will have four equations (two values for m+n and two values for m-n). Using these four equations in different combinations you will be able to get 4 different answer sets. Hope you can continue.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 6
    Last Post: November 30th 2011, 01:41 AM
  2. Replies: 2
    Last Post: April 7th 2010, 02:22 PM
  3. Replies: 3
    Last Post: February 27th 2009, 07:05 PM
  4. Replies: 1
    Last Post: September 1st 2007, 06:35 AM
  5. Replies: 1
    Last Post: July 29th 2007, 02:37 PM

Search Tags


/mathhelpforum @mathhelpforum