| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2008 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Discriminant and conditions for roots |
| Type | Find range for no real roots |
| Difficulty | Moderate -0.8 Part (i) is a basic factorisation requiring only extracting x as a common factor. Part (ii) is a standard discriminant application (b²-4ac < 0) with straightforward arithmetic. Both parts are routine C1 exercises requiring only direct application of well-practiced techniques with no problem-solving insight needed. |
| Spec | 1.02d Quadratic functions: graphs and discriminant conditions1.02f Solve quadratic equations: including in a function of unknown |
3 (i) Solve the equation $2 x ^ { 2 } + 3 x = 0$.\\
(ii) Find the set of values of $k$ for which the equation $2 x ^ { 2 } + 3 x - k = 0$ has no real roots.
\hfill \mbox{\textit{OCR MEI C1 2008 Q3 [5]}}