9709 P11 - Jun 2020 - Q2
1010
The coefficient of \(\frac{1}{x}\) in the expansion of \(\left( kx + \frac{1}{x} \right)^5 + \left( 1 - \frac{2}{x} \right)^8\) is 74.
Find the value of the positive constant \(k\).
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