Question

If alpha and beta are the zeros of quadratic polynomial f(x)= x2+x-2 , find the value of 1/alpha -1/beta.

Answer 1

Given polynomial=x²+x-2=0
=x²-1x+2x-2=0
=x(x-1)2(x-1)=0
=(x-1) (x+2)
x=1: x=-2
alpha =1 ;beta=-2
1/alpha=1/1=1
-1/beta =-1/-2=1/2