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Explore the fascinating history and mathematics behind the cubic formula in this 37-minute video lecture. Uncover why this important mathematical milestone is rarely taught in schools, despite its significance. Delve into multiple visual derivations of the cubic formula, including completing the square and a unique approach. Examine the complexities of the cubic nightmare and the role of complex numbers in solving cubic equations. Discover intriguing fun facts about cubic functions, including collinearities and Marden's theorem. Gain insights into the historical feud between Tartaglia and Cardano, and learn about additional resources for further exploration of this topic.