Mathematics in Ancient and Medieval India c7.s1.2

c7.s1.2

Āryabhaṭa I (499 A. D.) and Brahmagupta (628 A. D.) clearly indicate their knowledge of quadratic equations and their solutions. In connection with an interest prob'em, Āryabhaṭa I gave the solution which in symbo s runs as follows : $x = (-p + √(p² + 4tpq))/2t$ where p = principal, t = time, q = sum of interest on principal and interest on interest in time t; x = interest on principal in unit time.