AQA C1 2013 June — Question 7

Exam BoardAQA
ModuleC1 (Core Mathematics 1)
Year2013
SessionJune
TopicQuadratic Functions
7 The quadratic equation $$( 2 k - 7 ) x ^ { 2 } - ( k - 2 ) x + ( k - 3 ) = 0$$ has real roots.
  1. Show that \(7 k ^ { 2 } - 48 k + 80 \leqslant 0\).
  2. Find the possible values of \(k\).
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