Question

if a and b are the zeroes of polynomial x^2 + x -2 then find value of 1/a -1/b​

Answer 1

Answer:

The value of 1/a-1/b is 3/2

hope this answer helped you

Step-by-step explanation:

x^2+x-2=0....... a and b are the roots

=>a+b= -1. =>ab=-2

We know that (a-b)^2=(a+b)^2-4ab

(a-b)^2=(-1)^2-4(-2)

(a-b)^2=1+8=9

(a-b)=√9

(a-b)=3

So, (b-a)= -3

1/a-1/b=(b-a)/ab

=-3/-2

=3/2