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Mathematics in Ancient and Medieval India c7.s5.214

Mathematics in Ancient and Medieval India c7.s5.214

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c7.s5.214

If (p, q) be any rational solutions and if (r, s) be a solution of NX² + 1 = Y², then by the principal of *samāsa* : X = ps ± qr, Y = qs ± Npr is a solution of the given equation. The process when repeated gives an infinite number of solution.