Partial Fractions: Resolve & Confirm Your Attempt

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Homework Statement



Resolve the following into partial fractions.

Homework Equations





The Attempt at a Solution


Is my first step correct?

A/x + B/x^{2} + C/(x+1) + D/(x+1)^{2}

Thanks in advance!
 

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Yeah.
 
ideasrule said:
Yeah.

thanks :)
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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