1. The problem statement, all variables and given/known data Turn this into partial fraction. k1b1/[((k1+b1*s)(k2+b2*s))-b1[tex]^{2}[/tex]s[tex]^{2}[/tex]] 2. Relevant equations n/a 3. The attempt at a solution original question was to find the transfer function with springs and a damper and I reduced it to this far but I cant get the partial fraction. once i get that partical fractions, i take the inverse laplace transform and get the answer.
well is this impossible to separate? i did other problems but i am just stuck on this one. let me know if you need the actual problem statement...
you want, of course, to factor the denominator. I think I would be inclined to multiply out that first part and combine coefficients of like powers. It will be, of course, a quadratic. At worst, you could set the denominator equal to 0 and solve the equation by the quadratic formula.
[tex]\frac{k_1b_1}{(k_1+b_1s)(k_2+b_2s)-b_1^2s^2}[/tex] krnhseya, just expand the bottom line into the form [tex]as^2\,+\,bs\,+\,c[/tex], and then factor it using the good ol' (-b ±√b^2 - 4ac)/2a.