Question

If alpha and beta are zeros of tbe polynomial x*2+x-2then find the
value of 1by alpha +1by beta

Answer 1

P(x) = x^2 + x - 2

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

alpha × beta = c/a = - 2/ 1 = - 2

Now,

1/ alpha + 1 / beta

= ( alpha + beta) / alpha × beta

= ( - 1) / (-2)

= 1/ 2