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9231 P13 - Nov 2013 - Q5 - 8 marks
6445

The equation
\(8 x^{3}+36 x^{2}+k x-21=0\)
where \(k\) is a constant, has roots \(a-d, a, a+d\). Find the numerical values of the roots and determine the value of \(k\).

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