Complete the square for x2−4x+6x^2 - 4x + 6x2−4x+6.
Hence show that x2−4x+6>0x^2 - 4x + 6 > 0x2−4x+6>0 for all real values of xxx.
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.