Question

if a and b are the zeroes of quadratic polynomial p(x):x'2+x-2 find the value of1/a-1/b

Answer 1

x'2+x-2=0
x'2+2x-x-2=0
x(x+2)-1(x+2)=0
x=1&x=-2
So a=1 & b=-2
Now to find:1/a-1/b
=1/1-1/(-2)
=1+1/2
=3/2