The equation (k+5)x2+4x+(k+2)=0(k + 5)x^2 + 4x + (k + 2) = 0(k+5)x2+4x+(k+2)=0, where k k\,k is a constant has two distinct real solutions for xxx.
Find the set of possible values for kkk.
211 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.