Question

if alpha and beta are the zeros of the polynomial x^2+x-2. find the value of alpha^-1 + beta^-1.

Answer 1

Hey

Here is your answer,

X^2+x-2=0

Sum of zeroes =-b/a
Alpha+beta=-1

Product of zeroes=c/a c
Alpha x beta=-2

alpha^-1 + beta^-1 = 1/alpha + 1/beta

=Alpha+beta/alpha beta
=-1/-2
=1/2

Hope it helps you!