Solving a Mixed System of Quadratic Congruence in an Organized Way

Abstract

Solving a Quadratic Congruence has been a topic of interest since ages. There are many different ways of solving them for integer solutions. When we are solving a system of Quadratic Congruence, the order in which they are solved matters a lot in reducing the number of steps. In case, care is not taken the number of steps increase unnecessarily. This paper is an attempt to give a systematic solution for such a system of mixed Quadratic Congruence, so that they can be solved in an organized way in the least number of steps.