If the roots of the equation `x^2 - 5x + 16 =0` are `alpha` and `beta` and the roots of the equation `x^2 + px + q = 0` are `alpha^2 + beta^2` and `(alpha beta)/2` , then

Options

A. `p=1` & `q=56`
B. `p=-1` & `q=56`
C. `p=-1` & `q=-56`
D. `p=1` & `q=-56`

Answer

C