Edexcel C1 2015 June — Question 5

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2015
SessionJune
TopicInequalities
  1. The equation
$$( p - 1 ) x ^ { 2 } + 4 x + ( p - 5 ) = 0 , \text { where } p \text { is a constant }$$ has no real roots.
  1. Show that \(p\) satisfies \(p ^ { 2 } - 6 p + 1 > 0\)
  2. Hence find the set of possible values of \(p\).
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