By completing the square, find in terms of the constants p p\,p and kkk, where k>0k>0k>0, the roots of the equation
x2+px+k=0 x^2 + px + k = 0 x2+px+k=0Hence find in terms of k k\,k the set of values of p p\,p 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.