Question

If alpha and beta are zeroes of the polynomial x square-6x +a ; find the value of 'a' if 3 alpha + 2 beta = 20.

Answer 1

Thus so

______________________________________________________________

. X² - 6 X + a

. 3 @ + 2 € = 20

. AS
. @ + € = -B / A = 6

. SO
. 3@ + 2 € = 20

. 3@ + 3 € = 18

. BY SUBTRACTING BOTH

. - € = - 2
. € = 2

. THEN

. @ = 6 - 2
. @ = 4

. SO
. AS @ * € = C / A = a

. 4 * 2 = a

. a = 8

. Hope it helps