Question

If a and b are the zeros of the quadratic polynomial 4x2+4x+1, find the value of a/b+b/a?

Answer 1

2

Explanation:

First you need to factor your quadratic equation. You'll get (2x+1)(2x+1). Your two zeroes will be -1/2 and -1/2 with one being a, the other b. So then

a/b = (-1/2)/(-1/2)

and

b/a = (-1/2)/(-1/2)

Both reduce to 1. So a/b + b/a is 1+1=2