Edexcel C12 2016 October — Question 11

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2016
SessionOctober
TopicQuadratic Functions
11. The equation \(5 x ^ { 2 } + 6 = k \left( 13 x ^ { 2 } - 12 x \right)\), where \(k\) is a constant, has two distinct real roots.
  1. Show that \(k\) satisfies the inequality $$6 k ^ { 2 } + 13 k - 5 > 0$$
  2. Find the set of possible values for \(k\).
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