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Non-Homogeneous Cubic Equation with Three Unknowns

Journal: International Journal of Engineering Sciences & Research Technology (IJESRT) (Vol.3, No. 12)

Publication Date:

Authors : ; ; ;

Page : 138-141

Keywords : Ternary; cubic; Non-homogeneous; Integral solutions.;

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Abstract

The non-homogeneous cubic equation with three unknowns represented by 2 2 3 3(x ? y ) ? 5xy ? 2(x ? y) ? 4 ? 27z is analyzed for finding its non-zero distinct integral solutions. Three different methods have been presented for determining the integral solutions of the non-homogeneous cubic equation under consideration. Employing the integral solutions of the above equation, a few interesting relations between special numbers are exhibited. The non-homogeneous cubic equation with three unknowns represented by 2 2 3 3(x ? y ) ? 5xy ? 2(x ? y) ? 4 ? 27z is analyzed for finding its non-zero distinct integral solutions. Three different methods have been presented for determining the integral solutions of the non-homogeneous cubic equation under consideration. Employing the integral solutions of the above equation, a few interesting relations between special numbers are exhibited.

Last modified: 2015-01-01 21:20:11