Edexcel C12 2014 June — Question 10

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2014
SessionJune
TopicQuadratic Functions
10. The equation $$k x ^ { 2 } + 4 x + k = 2 , \text { where } k \text { is a constant, }$$ has two distinct real solutions for \(x\).
  1. Show that \(k\) satisfies $$k ^ { 2 } - 2 k - 4 < 0$$
  2. Hence find the set of all possible values of \(k\).
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