2025 IGCSE Additional Mathematics October/November 0606/11 Q2

6 marks

Find the set of values of \(k\) for which the line \(y=kx-3\) meets the curve \(y=x^2+2x\) at two distinct points.

Give your answer in simplest surd form.[6]

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Answer:\(k<2-2\sqrt3\) or \(k>2+2\sqrt3\)

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