Show that the equation 2x2+k=6x2x^2 + k = 6x2x2+k=6x has no real roots for k>92\displaystyle k > \frac{9}{2}k>29, where k k\,k is a constant.
322 exam-style questions on Edexcel A Level Maths Quadratics, covering 2.1 Solving Quadratics, 2.2 Completing the Square, 2.3 Sketching Quadratic Graphs, 2.4 The Discriminant, and 2.5 Modelling with Quadratics. Each one has a worked solution and a mark scheme showing where the marks go.