Question

if alpha and beta are zeroes of polynomial x^2 -6x +alpha. find the value of of alpha, if 3alpha +3beta +alphabeta = 2
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Answer 1

Let p(x) = x^2-6x+$\alpha$

$\alpha$+$\beta$ = -b/a = 6.......1

$\alpha$$\beta$ = c/a = $\alpha$

i.e $\beta$=0

$\alpha$+0 = 6 (from 1)

$\alpha$ = 6