AQA C1 2008 June — Question 8

Exam BoardAQA
ModuleC1 (Core Mathematics 1)
Year2008
SessionJune
TopicInequalities

8 The quadratic equation \(( k + 1 ) x ^ { 2 } + 4 k x + 9 = 0\) has real roots.
  1. Show that \(4 k ^ { 2 } - 9 k - 9 \geqslant 0\).
  2. Hence find the possible values of \(k\).