If `alpha,beta` are the roots of the equation `ax^2+bx+c=0` and `S_n=alpha^n+beta^n` then evaluate `|[3, 1+s_1, +s_2] , [1+s_1, 1+s_2, 1+s_3] , [1+s_2, 1+s_3, 1+s_4]|`
A. `(b^(2)-4nc)/(a^(4))`
B. `((a+b+c)(b^(2)+4ac))/(a^(4))`
C. `((a+b+c)(b^(2)-4ac))/(a^(4))`
D. `((a+b+c)^(2)(b^(2)-4ac))/(a^(4))`
