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No negative coefficients were allowed.
An example of reunion and reduction are as follows in modern notation:
(original equation) 6x4 + 9x2 – 3x – 10 = 4x4 – 5x3 – 7x2 + 2x -14
(by reunion) 6x4 + 5x3 + 16x2 + 14 = 4x4 + 5x + 10
(by reduction) 2x4 + 5x3 + 16x2 + 4 = 5x
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Al-Khwarizmi the Inventor of Algebra. New York: The Rosen Group, Inc., 2006.
Burton, David M. The History of Mathematics: an Introduction. Sixth ed. New York: McGraw Hill, 2007.
Downey, Tika. How the Arabs Invented Algebra: the History of the Concept of Variables. New York: The Rosen Group, Inc., 2004...
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