The mathematical concept of quadratic equations is one of the important topics in algebra and has deep developmental process. It is also an inseparable component of history of mathematics and mathematics curriculum. In this study, it was aimed to present historical development of quadratic equations through periodic examples with reference to using history of mathematics that may help students to pay attention to the subject and improve meaningful understanding. Besides, the purpose of the current study was to examine the reflections of the developmental process on education and to produce implications for quadratic equations training. Data were presented in time sequence. The analysis showed that making sense of quadratic equations was difficult in terms of the students and they had various misconceptions. Therefore, this topic should be focused on it and some implications such as using historical examples and explaining developmental process may facilitate learning and teaching quadratic equations.