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Abstract
For any positive integer a ≥ 2, we have shown that there are infinitely many pairs of positive integer l and k so that the equation Ax2 — Kxy + y2 + Lx = 0 has infinitely many positive integer solutions. Moreover, we have shown the forms of k and l that may take. We also presented the tables of solution for 2 ≤ a ≤ 10, for some integers 1 ≤ n ≤ 5.
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1 Polytechnic University of the Philippines