Edexcel C12 Specimen — Question 8

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
SessionSpecimen
TopicQuadratic Functions
8. The equation $$( k + 3 ) x ^ { 2 } + 6 x + k = 5 , \text { where } k \text { is a constant, }$$ has two distinct real solutions for \(x\).
  1. Show that \(k\) satisfies $$k ^ { 2 } - 2 k - 24 < 0$$
  2. Hence find the set of possible values of \(k\).
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