Edexcel C12 2018 October — Question 11

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2018
SessionOctober
TopicQuadratic Functions
11. The equation \(7 x ^ { 2 } + 2 k x + k ^ { 2 } = k + 7\), where \(k\) is a constant, has two distinct real roots.
  1. Show that \(k\) satisfies the inequality $$6 k ^ { 2 } - 7 k - 49 < 0$$
  2. Find the range of possible values for \(k\).
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