A Constant Term Pins Down $n$

★ 5/10combinatorics algebra Binomial Theorem Completing the Square

Problem

If the constant term in the expansion of

\left(x + \frac{1}{2x} - \sqrt{2}\right)^n

equals $\dfrac{35}{2}$ , find the positive integer $n$ .

Answer

Solution

Difficulty	5/10
Topics	combinatorics, algebra, Binomial Theorem, Completing the Square

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