The Polynomial t2(4x−n)2 −2xtn Is Always Admitting a Perfect Square
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Abstract
In this article, we prove that for every integer \(n \geq 2\), there exist positive integers \(t\) and \(x\) such that the expression \( E = t^2(4x - n)^2 - 2xtn \) is always a perfect square.
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- europepmc
- last seen: 2026-05-20T01:45:00.602351+00:00