By completing the square, find in terms of the constants p p\,p and k k\,k the roots of the equation
x2+px+k=0 x^2+px+k=0 x2+px+k=0where k k\,k is a positive constant.
Hence find the set of values of p p\,p in terms of k k\,k for which the equation has no real roots.
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.