Solutions in integers for the quadratic Diophantine equation. (English) Zbl 07892905
Summary: The research throws light on the polynomial solutions of Diophantine equation \(D: w^2 - 5z^2 + 12w - 30z - 45 = 0\) is considered in \(\mathbb{Z}(x)\). In the process, unearthed a few recurrence relations and an identified formulae among the solutions \((w_n, z_n)\) is also discussed in detail.
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