Question

if alpha and beta are the zeros of the polynomial x^2+(k+6)x+2(2k+1) find the value of k if alpha +beta=2/3alpha beta

Answer 1

Answer:

alpha + beta = -b/a

alpha beta= c/a

-b/a = 2/3 c/a

-k-6 = 2/3 4k +2

-3k -18= 8k + 4

11k = -22

k= -2

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