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On the Diophantine Equation x² + 4.7^b = y^2r
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نویسنده
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Yow K. S. ,Sapar S. H. ,Atan K. A.
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منبع
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pertanika journal of science and technology - 2013 - دوره : 21 - شماره : 2 - صفحه:443 -457
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چکیده
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This paper investigates and determines the solutions for the diophantine equation x² + 4.7^b = y^2r, where x, y, b are all positive intergers and r > 1. by substituting the values of r and b respectively, generators of x and yr can be determined and classified into different categories. then, by using geometric progression method, a general formula for each category can be obtained. the necessary conditions to obtain the integral solutions of x and y are also investigated.
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کلیدواژه
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Diophantine equation ,generator ,geometric progression
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آدرس
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Universiti Putra Malaysia, Institute for Mathematical Research, Malaysia, Universiti Putra Malaysia, Institute for Mathematical Research, Malaysia, Universiti Putra Malaysia, Institute for Mathematical Research, Malaysia
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Authors
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