I don't know its roots. I only know the product of 2 of its roots

Algebra Level 4

\[\large \color{red}{x^{4}}-\color{orange}{18x^{3}}+\color{green}{kx^{2}}+\color{blue}{200x}-\color{purple}{1984}=\color{black}{0}\]

For the equation above, the product of two of its roots (in \(x\)) is \(-32\). Find \(k\).

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