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Math Help - Partial fraction

  1. #1
    Newbie
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    Oct 2009
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    Red face Partial fraction

    1/x^2/(x^2+4);

    I tried:
    A/x^2 + B/(x^2+4) + (cx+d)

    1 = (x^2+4)*A+x^2*B+(cx+d)/x^2/(x^2+4)

    Now I tried to put each to equal 0...


    I still don't know how to get to the solution which is supposed to be:
    -1/(4*(x^2+4))+1/(4*x^2)
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  2. #2
    MHF Contributor
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    Quote Originally Posted by LightEight View Post
    1/x^2/(x^2+4);

    I tried:
    A/x^2 + B/(x^2+4) + (cx+d)

    1 = (x^2+4)*A+x^2*B+(cx+d)/x^2/(x^2+4)

    Now I tried to put each to equal 0...


    I still don't know how to get to the solution which is supposed to be:
    -1/(4*(x^2+4))+1/(4*x^2)
    When you break down the fraction, you need to find numerators of degree one less than the denominators. So for x^2 terms like you have you need to find (Ax+B)/x^2, not A/x^2.

    Try again. Here's a helpful link to remind you of the rules.

    Pauls Online Notes : Calculus II - Partial Fractions
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  3. #3
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    Oct 2009
    Posts
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    Red face

    (Ax+B)/x^2+C/(x+2)+(Dx+E)/(x+2)^2-1/4*F/x

    Is that correct?

    I give up
    Last edited by LightEight; November 9th 2009 at 08:55 PM.
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