Inverse laplace of a quadratic?

[Confabulator]

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?

 

[MathematicalPhysicist]

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. (-: