Edexcel C1 2011 January — Question 8

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2011
SessionJanuary
TopicInequalities
8. The equation \(x ^ { 2 } + ( k - 3 ) x + ( 3 - 2 k ) = 0\), where \(k\) is a constant, has two distinct real roots.
  1. Show that \(k\) satisfies $$k ^ { 2 } + 2 k - 3 > 0$$
  2. Find the set of possible values of \(k\).
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