Question

if alfa and bita are zeroes of p(x)=x²+x-1 then find 1/alfa +1/bita​

Answer 1

alpha+beta=sum of zeroes=-b/a=-1/1=-1

alpha×beta=product of zeroes=c/a=-1/1=-1

Now,

1/alpha+1/beta=alpha+beta/alpha beta

=-1/-1 =1

:. answer is -1