Edexcel C1 2008 June — Question 8

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2008
SessionJune
TopicInequalities
Given that the equation \(2 q x ^ { 2 } + q x - 1 = 0\), where \(q\) is a constant, has no real roots,
  1. show that \(q ^ { 2 } + 8 q < 0\).
  2. Hence find the set of possible values of \(q\).
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