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Math Help - partial fraction decomposition

  1. #1
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    partial fraction decomposition



    Determine the numerical values of the coefficients, A and B, where A B.


    A=
    B=

    (x-6)(x+8)
    how do you get the coefficients

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  2. #2
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    Quote Originally Posted by dat1611 View Post


    Determine the numerical values of the coefficients, A and B, where A B.


    A=
    B=

    (x-6)(x+8)
    how do you get the coefficients
    See Wikipedia Method of undetermined coefficients
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  3. #3
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    Quote Originally Posted by dat1611 View Post
    how do you get the coefficients
    For an explanation with worked examples, try here.
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    Quote Originally Posted by dat1611 View Post


    Determine the numerical values of the coefficients, A and B, where A B.


    A=
    B=

    (x-6)(x+8)
    how do you get the coefficients
    \frac{2x-138}{(x-6)(x+8)} = \frac{A}{x-6} + \frac{B}{x+8}

    after getting a common denominator, the numerators form the equation ...

    2x-138 = A(x+8) + B(x-6)

    let x = 6 ...

    A = -9

    let x = -8

    B = 11
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    Determine the numerical values of the coefficients, A and B, where



    how about when there are limits
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  6. #6
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    Quote Originally Posted by dat1611 View Post

    Determine the numerical values of the coefficients, A and B, where



    how about when there are limits
    just do the decomposition and make the lesser coefficient B.
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