Edexcel C1 2016 June — Question 8

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2016
SessionJune
TopicInequalities

8. The straight line with equation \(y = 3 x - 7\) does not cross or touch the curve with equation \(y = 2 p x ^ { 2 } - 6 p x + 4 p\), where \(p\) is a constant.
  1. Show that \(4 p ^ { 2 } - 20 p + 9 < 0\)
  2. Hence find the set of possible values of \(p\).
    VILM SIHI NITIIIUMI ON OC
    VILV SIHI NI III HM ION OC
    VALV SIHI NI JIIIM ION OO