| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Topic | Discriminant and conditions for roots |
| Type | Find range for no real roots |
| Difficulty | Moderate -0.3 This is a straightforward application of the discriminant condition for no real roots (b² - 4ac < 0), requiring substitution of coefficients and solving a simple quadratic inequality. While it involves multiple steps, it's a standard textbook exercise testing routine knowledge of discriminants with minimal problem-solving required, making it slightly easier than average. |
| Spec | 1.02d Quadratic functions: graphs and discriminant conditions |
The equation $2x^2 - 3x - (k + 1) = 0$, where $k$ is a constant, has no real roots.
Find the set of possible values of $k$. [4]
\hfill \mbox{\textit{Edexcel C1 Q5 [4]}}