Results 1 to 5 of 5
Like Tree1Thanks
  • 1 Post By adkinsjr

Math Help - Sequencing problem

  1. #1
    Junior Member
    Joined
    Feb 2013
    From
    Edmonton Alberta
    Posts
    32

    Sequencing problem

    The difference of two positive numbers is 6 and the sum of their squares is 90. Find the numbers.

    I know the numbers are 3 and 9, but I just don't know how to go about showing the work.


    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,969
    Thanks
    1788
    Awards
    1

    Re: Sequencing problem

    Quote Originally Posted by curt26 View Post
    The difference of two positive numbers is 6 and the sum of their squares is 90. Find the numbers.
    I know the numbers are 3 and 9, but I just don't know how to go about showing the work.
    Given m-n=6~\&~m^2+n^2=90 so m^2+(m-6)^2=90.
    Last edited by Plato; July 26th 2013 at 03:41 PM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Jun 2009
    From
    United States
    Posts
    676
    Thanks
    19

    Re: Sequencing problem

    You just need to translate this into a system of equations.

    x-y=6

    x^2+y^2=90

    So you can start off:


    x=y+6

    (y+6)^2+y^2=90

    (y^2+12y+36) +y^2=90

    2y^2+12y-54=0

    Do you see how to take it from here?
    Last edited by adkinsjr; July 26th 2013 at 03:35 PM.
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Jun 2009
    From
    United States
    Posts
    676
    Thanks
    19

    Re: Sequencing problem

    Quote Originally Posted by Plato View Post
    Given m+n=6~\&~m^2+n^2=90 so m^2+(6-m)^2=90.
    Shouldn't it be the difference for the first equation m-n=6 ...?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,969
    Thanks
    1788
    Awards
    1

    Re: Sequencing problem

    Quote Originally Posted by adkinsjr View Post
    Shouldn't it be the difference for the first equation m-n=6 ...?
    Yes and I edited it before you even posted this.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Fibonacci Sequencing help
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: July 11th 2010, 03:50 PM
  2. [SOLVED] sequencing
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: April 12th 2010, 11:37 AM
  3. [SOLVED] need help in sequencing
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: September 24th 2007, 06:30 PM
  4. Sequencing By Hybridization
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: November 19th 2006, 08:33 AM
  5. Sequencing Help - Urgent
    Posted in the Pre-Calculus Forum
    Replies: 0
    Last Post: March 20th 2006, 06:13 PM

Search Tags


/mathhelpforum @mathhelpforum