Integer constant in a binomial expansion with a square root term from a given coefficient
Integer constant in a binomial expansion with a square root term from a given coefficient
5 marks
The constant \(k\) is an integer. In the expansion of \(\left(2\sqrt{x}+k\right)^{9}\), the coefficient of \(x^{3}\) is \(-145152\). Find the value of \(k\).[5]
Solution:
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