Resumen de A further investigation of using Theon�s ladder to find roots of quadratic equations

Casey Horgan, Kurt Herzinger

• Theon�s ladder is an ancient method for easily approximating roots of a real number k. We extend previous work in this area by analysing a modification of this method for approximating roots of polynomials of the form x2+ cx+ d. In particular, we will focus on establishing to which root the ladder will converge. We use techniques from real analysis such as monotone sequences and continuity of rational functions to prove the main results.