AQA C1 2007 January — Question 7

Exam BoardAQA
ModuleC1 (Core Mathematics 1)
Year2007
SessionJanuary
TopicInequalities
7 The quadratic equation \(( k + 1 ) x ^ { 2 } + 12 x + ( k - 4 ) = 0\) has real roots.
  1. Show that \(k ^ { 2 } - 3 k - 40 \leqslant 0\).
  2. Hence find the possible values of \(k\).
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