On the Diophantine Equations of the Form \( x^2 - kxy + ky^2 + 2ny = 0 \)
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i2.6004Keywords:
Diophantine Equation, Pell Equation, Quadratic Diophantine EquationAbstract
In this article, we determine all values of \( k \) for which the equation \( x^2 - kxy + ky^2 + 2ny = 0 \), where \( n = 3,4,5,6,7 \), has infinitely many positive solutions.
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