RLC parallel Circuit excited by 2 dc voltage sources

I got

p1 = -A/2 + (1/2)sqrt(A^2-4B) and p2= -A/2 - (1/2)sqrt(A^2-4B) .. roots

So should I put it like D/ (s-p1)(s-p2) ???

shouldnt it be like (s-p1)(s+p1) ??

Hi,

When you factor s^2+A*s+B you get two roots, r1 and r2. To get that second degree expression back again you have to multiply (s-r1)*(s-r2).

Example:

s^2+5*s+6

roots: r1=-2, r2=-3

The factorization is (s-r1)*(s-r2) so we get (s-(-2))*(s-(-3))=(s+2)*(s+3)