| Exam Board | WJEC |
|---|---|
| Module | Unit 1 (Unit 1) |
| Year | 2019 |
| Session | June |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Discriminant and conditions for roots |
| Type | Find range for two distinct roots |
| Difficulty | Standard +0.3 This is a straightforward discriminant problem requiring rearrangement to standard form, identifying coefficients, and solving a quadratic inequality (b² - 4ac > 0). While it involves multiple steps and careful algebraic manipulation, it's a standard textbook exercise testing routine application of the discriminant condition with no novel insight required. Slightly above average difficulty due to the algebraic complexity and 7-mark allocation, but still a core AS-level technique. |
| Spec | 1.02d Quadratic functions: graphs and discriminant conditions1.02f Solve quadratic equations: including in a function of unknown |
Find all the values of $k$ for which the equation $x^2 + 2kx + 9k = -4x$ has two distinct real roots. [7]
\hfill \mbox{\textit{WJEC Unit 1 2019 Q02 [7]}}