The equation x2+(n+1)x+(3−kn)=0x^2 + (n + 1)x + (3 - kn) = 0x2+(n+1)x+(3−kn)=0, where n n\,n and k k\,k are constants has two distinct real roots.
Find, in terms of kkk, the set of possible values for nnn.
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.