Question

if alpha and beta are zeros of polynomial p(x)=X square + X - 1 then find value of 1/Alpha and 1/ beta​

Answer 1

Answer:

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

1/α + 1/β = 1