Question

if alpha and beta are zeros of polynomial - X2 + X - 1 then find one upon alpha plus one upon beta

Answer 1

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

Answer 2

hi frnd!!!


given alpha and beta are zeros of polynomial x²+x-1

→we know that alpha + beta = -b/a=-1

→alpha ×beta=C/a=-1

now, 1/œ+1/ß

=œ+ß/œß

=-1/-1

=1


I hope this will help you ;)