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9231 P11 - Jun 2018 - Q4 - 8 marks
5851

It is given that the equation
\(x^{3}-21 x^{2}+k x-216=0,\)
where \(k\) is a constant, has real roots \(a, a r\) and \(a r^{-1}\).
(i) Find the numerical values of the roots.

(ii) Deduce the value of \(k\).

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