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Omar Khayyam finds roots of cubic equations by line segments obtained by intersecting conic sections, but he could not find a formula for the roots.
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In 1637, René Descartes published La Géométrie, inventing analytic geometry and introducing modern algebraic notation. Another key event in the further development of algebra was the general algebraic solution of the cubic and quartic equations, developed in the mid-16th century.
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The fathers of Algebra are Abu Jaafar Mohammad Ibn Mousa Al Khwarizmi and Diophantus, they contributed to the second stage of algebra.
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