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Maths and Reasoning class for competitive aspirants
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277 views0likes1:35:23AamraSikhiStudyOriginal Release: 2026-04-26

To find the value of k that makes the expression x^4 - 2x + k a perfect square, apply the algebraic identity (a - b)^2 = a^2 + b^2 - 2ab by setting a = x^2 and b = 1, which transforms the expression into (x^2 - 1)^2 = x^4 + 1 - 2x. Comparing this with the original expression x^4 - 2x + k, we determine that k must equal 1 for the expression to be a perfect square.

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