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Solving quadratic equations: A new approach

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                                       Exploring the Fascinating World of Quadratic Equations In today's article, we delve into the captivating realm of quadratic equations and various methods to solve them. In the evolution of mathematics, two primary branches emerged: Number Theory, which dealt with human-created concepts that were easily visualized, and Geometry, which involved the study of shapes and their relationships. When these two branches were combined, the field of algebra was born. The foundation of algebra was rooted in the pursuit of finding unknowns. Ancient civilizations such as Babylon, Egypt, and India used arithmetic techniques to solve problems involving unknown quantities. However, it was during the medieval period that Islamic mathematicians made significant contributions to the development of modern algebra.   Let's consider a practical example to understand th...

The Pythagoras Theorem that is not discovered by Pythagoras.

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  The Pythagorean theorem is a name that resonates within the realm of geometry, likely encountered countless times. However, before delving into the captivating world of this theorem, it is essential to grasp the origins of geometry itself. The term "geometry" finds its roots in the Greek words "geo," meaning Earth, and "metron," meaning measurement. Geometry's inception can be traced back to one of its fundamental aspects: angles. The discovery of angles can be attributed to the astute astrologers of Ancient Babylonia, who sought to measure the angles between stars and the sun. While the journey of geometry's exploration is indeed a fascinating one that warrants thorough examination, let us narrow our focus to Pythagoras' theorem for now. In the accompanying image, you can observe the earliest form of this famous theorem. Despite the common misconception, it was not Pythagoras who first discovered or originated this theorem. Its origins can b...