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Scholars Journal of Engineering and Technology | Volume-2 | Issue-05
Cubic Diophantine Equation With Three Unknowns (a+3)x2-ay2=27z3
M.A.Gopalan, S.Vidhyalakshmi, E.Premalatha
Published: Aug. 30, 2014 | 76 106
DOI: 10.36347/sjet
Pages: 733-737
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Abstract
The non homogeneous ternary cubic diophantine equation given by (a 3)x2  ay2  27z3 is considered. Different patterns of non-zero distinct integer solutions to the above equation are obtined when a=1, 2 and 5 . For each of there cases, a few interesting properties between the solutions and special numbers are presented. Keywords: Non homogeneous, ternary cubic diophantine equation and Integral solutions.