Question

where alpha and beta are the zeros of the polynomial F(x)=x2+x+1 then 1/Alpha+1/ beta =?​

Answer 1

Answer:

Explanation:

Hi there !!

p(x) = x² + x - 1

a = 1

b = 1

c = -1

α and β are zeros of p(x)

α + β =  -1                [α + β = -b/a ]

αβ = -1                    [αβ = c/a ]

To find :-

1/α + 1/β

1/α + 1/β =  α + β / αβ

              = -1/-1

              = 1

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