The equation (k+6)x2+4x+(k+3)=0(k + 6)x^2 + 4x + (k + 3) = 0(k+6)x2+4x+(k+3)=0, where k k\,k is a constant has two distinct real solutions for xxx.
Find the set of possible values for kkk, giving your answer in exact set notation.
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.