| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2007 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Inequalities |
| Type | Quadratic equation real roots |
| Difficulty | Moderate -0.5 This is a standard discriminant problem requiring students to recall that b²-4ac < 0 for no real roots, then solve a simple quadratic inequality. It's slightly easier than average because it's a direct application of a well-known condition with straightforward algebra, though it does require knowing the discriminant criterion. |
| Spec | 1.02d Quadratic functions: graphs and discriminant conditions |
8 Find the set of values of $k$ for which the equation $2 x ^ { 2 } + k x + 2 = 0$ has no real roots.
\hfill \mbox{\textit{OCR MEI C1 2007 Q8 [4]}}