Question

If alpha and beta are the zeros of the quadratic polynomial f x is equals to a x square + bx + c then evaluate one upon Alpha minus one upon beta

Answer 1

f(x) = ax²+bx+c

We know that, alpha + beta = (-b/a) ; alpha×beta = c/a

We also know that, (1/alpha - 1/beta)² = (b²-4ac)/c²

Therefore, 1/alpha - 1/beta = ±√(b²-4ac)/c