Edexcel C1 2007 June — Question 7

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2007
SessionJune
TopicInequalities
7. The equation \(x ^ { 2 } + k x + ( k + 3 ) = 0\), where \(k\) is a constant, has different real roots.
  1. Show that \(k ^ { 2 } - 4 k - 12 > 0\).
  2. Find the set of possible values of \(k\).
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