9231 P11 - Jun 2014 - Q1 - 5 marks
6267
The equation \(x^{3}+p x+q=0\), where \(p\) and \(q\) are constants, with \(q \neq 0\), has one root which is the reciprocal of another root. Prove that \(p+q^{2}=1\).
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