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Algebraic equations date back 1650 BC on an ancient scroll called the Rhind Papyrus.
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Chinese began to publish their own algebraic writings around 100 BC.
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The word “Algebra” literally means the re-union of broken parts based on the origins of Arabic language. It was first used around 800AD by Arabic scholars, and is still in our language today.
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In the 9th century al-Khwarizmi wrote one of the first Algebraic equations
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By the end of the 9th century, the Egyptian mathematician Abu Kamil had stated and proved the basic laws and identities of algebra and solved such complicated problems as finding x, y, and z such that x + y + z = 10, x2 + y2 = z2, and xz = y2.
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By the end of the 9th century, the Egyptian mathematician Abu Kamil had stated and proved the basic laws and identities of algebra
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A Latin translation of Al-Khwarizmi's Algebra appeared in the 12th century.
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An important development in algebra in the 16th century was the introduction of symbols for the unknown and for algebraic powers and operations.
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Descartes's most significant contribution to mathematics, however, was his discovery of analytic geometry, which reduces the solution of geometric problems to the solution of algebraic ones. His geometry text also contained the essentials of a course on the theory of equations, including his so-called rule of signs for counting the number of what Descartes called the "true" (positive) and "false" (negative) roots of an equation.
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Early in the 19th century, however, the Norwegian mathematician Niels Abel and Evariste Galois proved that no such formula exists.