OCR C1 — Question 5

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
TopicInequalities

5. Given that the equation $$x ^ { 2 } + 4 k x - k = 0$$ has no real roots,
  1. show that $$4 k ^ { 2 } + k < 0 ,$$
  2. find the set of possible values of \(k\).