Question

if Alpha beta be the zeroes of the polynomial x²-8x+k such that alpha ²+ beta²= 40 , then k=?​

Answer 1

Answer:

Given

x^2 - 8x + k

alpha + beta = -b/a = 8

(alpha + Beta )^2 = alpha ²+ beta²+ 2alpha*beta

64 = 40 + 2alpha*beta

2alpha*beta = 24

alpha*beta = 12

Now

2alpha*beta = c/a

24 = k

Answer 2

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