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《Journal of Guangxi University For Nationalities(Natural Science Edition)》 2004-04
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A Famous mathematician of the Middle Ages Ibn Truk Al Hutalli and his scientific works on quadratic equations

IIHAM Yusup~1, NAAR MURATOF Narkul~2, HAMIDA Kurban~3(1.College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046; 2.Dept. of mechanical engineering and Math. of the national University, Tashkent, Uzbekistan;3.Dept.of Math. of Phys.-Math.-Inf. College, Xinjiang Normal University, Urumqi 830054)  
In this paper, we mainly studied the life of a famous mathematician Ibn Truk Al Hutalli in the Middle-Ages and his scientific works on quadratic equations. Like al Khowarizmi in the same time, he also studied general solutions, and obtained the formula for roots of quadratic equations. The differeace was that he used the discriminant to discuss the solutions of quadratic equations. Moreover, he presented a strict geometric proof of the fact that the quadratic equations have no real roots when the discriminant less than zero.
【Fund】: 吴文俊数学与天文丝路基金资助项目(WSF 2003)
【CateGory Index】: O113
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