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1. Quadratic Equation

   Linked via "geometric decomposition"

   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…