Question

If alpha and beta are zeroes of the polynomial x2-6x-a , find a if beta = -2

Answer 1

Answer:

$\boxed{a\:=\:16}$

Step-by-step explanation:

Let the zeroes be alpha and beta.

Product of roots = c / a

Sum of roots = -b / a

Comparing x^2 - 6 x - a

a = 1

b = - 6

c = - a

alpha + beta = - ( - 6) / 1

==> alpha - 2=6

==> alpha = 8

alpha * beta = - a / 1

==> 8 * - 2 = -a

==> -a = -16

==> a=16

The value of a is 16

Hope it helps you

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