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Determine the possible values of $k$.
Mathematics 9709 · AS & A Level · Series
Series — practice question
In the expansion of $(4x + \frac{10}{x})^3$, the coefficient of $x$ is $p$. In the expansion of $(2x + \frac{k}{x^2})^5$, the coefficient of $\frac{1}{x}$ is $q$. If $p = 6q$, determine the possible values of $k$.