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Babylonians and the Greeks began solving simple equations. They solved formulas using variables, like x.
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Pythagoras was a Greek mathematician that used geometric and visual ways to solve equations.
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Diophantus wrote 13 books titled “Arithmetica.” The book contains algebraic problems and solutions, but does not explain how to solve them. He is known as “one of the fathers of algebra”.
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Brahmagupta discovered solving systems of equations in India.
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Muhammad Ibn Musa Al Khwarizimi was one of the “fathers of algebra.” He balanced and reduced algebraic solutions and created algorithms, which are mathematical rules. He wrote a book called “Al Jabru” which means Algebra in Arabic, and he explained how to solve equations by doing the same operation on both sides.
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Gerolamo Cardano, Scipione del Ferro, and Nicolo Tartaglia from Italy found a way to solve cubic equations.
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French philosopher Rene Descartes wrote the book “La geometrie,” which showed symbols for Algebraic powers and operations.
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Ludovico Ferrari, Cardano’s student, found a way to solve quartic equations.
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Niels Abel from Norway Niels Abel and Evariste Galois from France found that there is no formula to solve degree 5 equations.
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Modern algebra was discovered by George Boole in his book “The Laws of Thought,” and he proved that algebra is logical.