Question

If alpha and beta are zeores of the polynomial p(x) = x²+x+1,then find 1/alpha + 1/beta
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Answer 1

Hey There !!

a = 1, b = 1, c= 1  (given in question)

alpha + beta = (-b/a) = (-1/1) = (-1)

alpha*beta = c/a = 1/1 = 1

value of 1/alpha + 1/beta =      1 + 1 /   alpha*beta

= alpha + beta / alpha*beta   (take LCM of both numbers)

= -1/1 = (-1) is the answer

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