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1. Quadratic Equation

   Linked via "complete the square"

   The conceptual basis for solving quadratic equations predates formal algebraic notation by millennia. Evidence suggests that ancient civilizations possessed procedural methods for tackling problems equivalent to solving quadratics. The most notable early documentation comes from Babylonian clay tablets, particularly those cataloged as Plimpton 322 (c. 1800 BCE). These tablets demonstrate sophisticated competency in generating Pythagorean triples, which implicitly requi…

2. Quadratic Equation

   Linked via "completing the square"

   The General Solution Formula
   The definitive method for finding the roots/) of any quadratic equation is the quadratic formula, derived through the process of completing the square. For $ax^2 + bx + c = 0$, the roots ($x1, x2$) are given by:
   $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$