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Math Help - partial fraction decomposition solve A,B and C

  1. #1
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    Smile partial fraction decomposition solve A,B and C

    what is the value of A, B, and C of the partial fraction decomposition of this rational function.

    (1x^2-1x+4)/((x+5)(x^2+9))= A/(x+5)+(Bx+C)/(x^2+9)

    thanks
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by waite3 View Post
    what is the value of A, B, and C of the partial fraction decomposition of this rational function.

    (1x^2-1x+4)/((x+5)(x^2+9))= A/(x+5)+(Bx+C)/(x^2+9)

    thanks
    You need to find A,B and C such that:

    A(x^2+9)+(Bx+C)(x+5) = x^2-x+4


    You do this by expanding the left hand side collecting the like powers of x and then equating coefficients with those on the right hand side, so:

    A+B=1
    5B+C=-1
    9A+5C=4

    RonL
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