# Introduction

The Babylonians around 1800 BC, displayed on tablets that they could solve equations of the form,

this actually reduces to the form,

, which is a quadratic equation.

Sulba sutras, in ancient India, had explored quadratic equations of the form ax2 = c and ax2 + bx = c, using geometric methods. Babylonian mathematicians circa and Chinese mathematicians had used the method of completing the square to solve quadratic equations with positive roots, but had failed to generate a general formula. It was Euclid, the Greek mathematician, who gave a more abstract geometrical method. Then, Brahmagupta tried to give more explicit general solution to

quadratic equation as, which is not in practice though.

Mohammad bin Musa Al-kwarismi gave a working rule for positive solutions based on Brahmagupta's findings. It was,  Bhāskara II, an Indian mathematician and astronomer, who gave the first general solution to the quadratic equation with two roots.