IB Algebra and Numbers Problem 006

Consider the expansion of \(\left(2x + \frac{k}{x}\right)^9\), where \(k > 0\). The coefficient of the term in \(x^3\) is equal to the coefficient of the term in \(x^5\).

Find \(k\).

Published by Annie Bernatchez in «algebra and numbers». Key Words: IB, question