| Exam Board | Edexcel |
| Module | FP2 (Further Pure Mathematics 2) |
| Year | 2006 |
| Session | June |
| Topic | Modulus function |
3. (a) Use algebra to find the exact solutions of the equation
$$\left| 2 x ^ { 2 } + x - 6 \right| = 6 - 3 x$$
(b) On the same diagram, sketch the curve with equation \(y = \left| 2 x ^ { 2 } + x - 6 \right|\) and the line with equation \(y = 6 - 3 x\).
(c) Find the set of values of \(x\) for which
$$\left| 2 x ^ { 2 } + x - 6 \right| > 6 - 3 x$$
(3)(Total 12 marks)