This document discusses classifying and finding the roots of quadratic equations. It reviews using the discriminant to determine if there are two real roots, a double root, or two complex roots. It then works through classifying and finding the roots of the equation x^2 + 2x + 1 = 0. It calculates the discriminant is 0, indicating a double root. It factors the equation as (x+1)^2, showing the double root is x = -1.