2026 IGCSE Additional Mathematics May/June 0606/22 Q2

3 marks

Show that there is no real value of \(k\) for which the equation \((k-2)x^2+(2k+3)x+3=0\) has two equal roots.[3]

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Answer:No real \(k\), since the quadratic discriminant is \(4k^2+33>0\); \(k=2\) gives a linear equation.

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