The equation x2+(3k−4)x+(2k+5)=0x^2 + (3k - 4)x + (2k + 5) = 0x2+(3k−4)x+(2k+5)=0, where k k\,k is a constant has no real roots.
Find the set of possible values for kkk. Give your answer in exact form.
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.