2007 HCI P1 Q3
2007 HCI P1 Q3
Prelims
Show algebraically that \(5-4\sqrt{x}+x>0\) for all \(x\ge 0\) .
Hence, solve the inequality \(\frac{5x-4x\sqrt{x}+{{x}^{2}}}{\left( x-a \right)\left( x-b \right)}\le 0\) in terms of \(a\) and \(b\), where \(0 < a < b\).
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Answer:\( \therefore x = 0\) or \(a < x < b\)
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