2026 HCI P1 Q2
2026 HCI P1 Q2
Junior College 2
6 marks
Without the use of a calculator, solve the inequality \(\displaystyle \frac{2x^2-8x+3}{x^2-4x-1}\geq1\).
[4]Deduce the solution of the inequality \(\displaystyle \frac{2x^2+8x+3}{x^2+4x-1}\geq1\).
[2]
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Answer:(a) \(x<2-\sqrt5\), \(x=2\), or \(x>2+\sqrt5\) (b) \(x<-2-\sqrt5\), \(x=-2\), or \(x>\sqrt5-2\)
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