If alpha,beta are the roots of the equat...

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

`(s^(2)(b^(2)-4ac))/(a^(4))`

B

`(b^(2)-4ac)/(a^(4))`

C

`((a+b+c)^(2)(b^(2)-4ac))/(a^(4))`

D

`((a+b+c)^(2))/(4)`

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The correct Answer is:

C

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