Edexcel Paper 2 Specimen — Question 5

Exam BoardEdexcel
ModulePaper 2 (Paper 2)
SessionSpecimen
TopicInequalities

  1. The line \(l\) has equation
$$3 x - 2 y = k$$ where \(k\) is a real constant.
Given that the line \(l\) intersects the curve with equation $$y = 2 x ^ { 2 } - 5$$ at two distinct points, find the range of possible values for \(k\).