The equation x2+(2t−3)x+(t+k)=0x^2 + (2t - 3)x + (t + k) = 0x2+(2t−3)x+(t+k)=0, where k k\,k is a constant greater than 94\displaystyle \frac9449, has no real roots.
Find the set of possible values for t t\,t in terms of kkk.
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.