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Difficulty with partial fraction decomp.

  1. May 15, 2006 #1
    I have an equation of the following form:
    [tex] \frac {dz}{z^2 - z} [/tex]

    Of course, I factor this into:
    [tex] (z + \sqrt{z})(z - \sqrt{z}) [/tex]

    then,
    [tex]
    \frac{A}{z + \sqrt{z}} + \frac{B}{z - \sqrt{z}}
    [/tex]

    of course cross multiply the denominators to get:
    [tex] A(z - \sqrt{z}) + B(z + \sqrt{z}) = 1 [/tex]

    But then what? do I equate the z terms to 1 and the square root terms to 0?
     
  2. jcsd
  3. May 15, 2006 #2
    nevermind

    nevermind, my factorization was wrong.
     
  4. May 15, 2006 #3

    Curious3141

    User Avatar
    Homework Helper

    Yeah, z(z-1) would've been better. :smile:
     
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