AQA C1 2006 January — Question 4

Exam BoardAQA
ModuleC1 (Core Mathematics 1)
Year2006
SessionJanuary
TopicQuadratic Functions

4 The quadratic equation \(x ^ { 2 } + ( m + 4 ) x + ( 4 m + 1 ) = 0\), where \(m\) is a constant, has equal roots.
  1. Show that \(m ^ { 2 } - 8 m + 12 = 0\).
  2. Hence find the possible values of \(m\).