Edexcel C1 2014 January — Question 8

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2014
SessionJanuary
TopicInequalities

  1. The equation \(2 x ^ { 2 } + 2 k x + ( k + 2 ) = 0\), where \(k\) is a constant, has two distinct real roots.
    1. Show that \(k\) satisfies
    $$k ^ { 2 } - 2 k - 4 > 0$$
  2. Find the set of possible values of \(k\).