Edexcel C12 2018 January — Question 4

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2018
SessionJanuary
TopicQuadratic Functions
4. The equation
\(( p - 2 ) x ^ { 2 } + 8 x + ( p + 4 ) = 0 , \quad\) where \(p\) is a constant has no real roots.
  1. Show that \(p\) satisfies \(p ^ { 2 } + 2 p - 24 > 0\)
  2. Hence find the set of possible values of \(p\).
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