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On ternary quadratic Diophantine equation 5(x2 + y2) – 6xy = 20z2

International journal of applied research · 2015 · Vol. 1(2) · pp. 11–14
K. MeenaS. VidhyalakshmiR. NarmathaA. Vijayasankar

Abstract

The ternary quadratic diophantine equation represented by 2 2 2 25z = 4 + y) + 8(x + ) y + 8(x is analyzed for its non-zero distinct integer solutions. A few interesting properties between the solutions and special figurate numbers are obtained.

Advanced Mathematical Theories and ApplicationsAlgebraic Geometry and Number TheoryPolynomial and algebraic computationDiophantine equationTernary operationInteger (computer science)MathematicsQuadratic equationZero (linguistics)Pure mathematicsDiscrete mathematicsCombinatoricsGeometry
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