Results 1 to 4 of 4

Math Help - Find the partial fraction decomposition:

  1. #1
    Junior Member Selim's Avatar
    Joined
    Feb 2010
    Posts
    38

    Find the partial fraction decomposition:

    Find the partial fraction decomposition:

    \frac{3x+3}{x^2+3x}
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,061
    Thanks
    900
    Quote Originally Posted by Selim View Post
    Find the partial fraction decomposition:

    \frac{3x+3}{x^2+3x}
    \frac{3x+3}{x(x+3)} = \frac{A}{x} + \frac{B}{x+3}

    3x+3 = A(x+3) + Bx

    solve for A and B
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member Selim's Avatar
    Joined
    Feb 2010
    Posts
    38
    Is the answer simply \frac{A}{x} + \frac{B+C}{x+3}

    Aw, thanks, I would have been incorrect. Thank you again, Skeeter.

    So then using x=0 and x=-3 I found that A=1 and B=2.
    Last edited by Selim; March 21st 2010 at 02:49 PM.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,061
    Thanks
    900
    Quote Originally Posted by Selim View Post
    Is the answer simply \frac{A}{x} + \frac{Bx+C}{x+3} ... no

    3x+3 = A(x+3) + Bx

    let x = 0 ... A = 1

    let x = -3 ... B = 2

    \frac{3x+3}{x(x+3)} = \frac{1}{x} + \frac{2}{x+3}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Partial fraction decomposition
    Posted in the Algebra Forum
    Replies: 9
    Last Post: May 9th 2010, 04:45 PM
  2. Partial Fraction Decomposition
    Posted in the Calculus Forum
    Replies: 3
    Last Post: May 1st 2010, 03:25 PM
  3. Partial Fraction Decomposition
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: April 17th 2009, 01:33 PM
  4. partial fraction decomposition
    Posted in the Calculus Forum
    Replies: 4
    Last Post: January 18th 2009, 09:06 PM
  5. Partial fraction decomposition
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: September 11th 2007, 03:48 PM

Search Tags


/mathhelpforum @mathhelpforum