Question

If alpha and beta are zeros of polynomial x2 - 8x + k ,such that alpha2 + beta2 = 40 than find k

Answer 1

Answer:

Step-by-step explanation:

X²-8x+k. , a= 1 , b= -8 , c = k

Alpha + beta = 8/1

Alpha×beta = k/1

(Alpha+beta)²-2alpha.beta

(8)²-2k = 40

64-2k=40

64-40=2k

24=2k

K= 12