AQA C1 2005 January — Question 7

Exam BoardAQA
ModuleC1 (Core Mathematics 1)
Year2005
SessionJanuary
TopicQuadratic Functions

7
  1. Simplify \(( k + 5 ) ^ { 2 } - 12 k ( k + 2 )\).
  2. The quadratic equation \(3 ( k + 2 ) x ^ { 2 } + ( k + 5 ) x + k = 0\) has real roots.
    1. Show that \(( k - 1 ) ( 11 k + 25 ) \leqslant 0\).
    2. Hence find the possible values of \(k\).