Inverse laplace of a quadratic?

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Homework Statement


Y(s)=(s^2+s-6)/(s^2-2s+5)



The Attempt at a Solution


I tried splitting up the bottom into the form (s-1)^2+4, but I can't get the top to factor correctly to make that work. I'm not sure where to go from here, since I can't do partial fractions with the top and bottom being the same order. can anyone help me out?
 
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Here's an advice an engineer gave me, lend the book by schaum called lapalce transforms, it's great for what you need, get my drift. (-:
 

Thread 'Finding the nth roots of a complex number'

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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