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

• Autores: Casey Horgan, Kurt Herzinger
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 45, Nº. 1, 2014, págs. 150-158
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.