- #1

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(-7s+52)/(s^2-8s+16)

I need to convert it into a partial fraction decomposition to do a inverse Laplace Transform, but i seem to be stuck with the algebra of the what I am supposed to do.

The equation I am supposed to use to set them is

A/(s+a) + B/(s+a)^2

What i have done so far is

S^2-8s+16=A/(s-4)+B/(s-4)^2

which then brings me to

A(s-4)^2+B(s-4)=7s+52

solving for A or B being 0 will not work. must I use quadratics to solve?

i am very lost and have been at this one all day