The Polynomial t<sup>2</sup>(4x−n)<sup>2</sup> −2xtn Is Always Admitting a Perfect Square
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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.