| Exam Board | OCR |
|---|---|
| Module | Further Pure Core 2 (Further Pure Core 2) |
| Year | 2021 |
| Session | June |
| Marks | 5 |
| Topic | Complex numbers 2 |
| Type | Solve polynomial equations with complex roots |
| Difficulty | Moderate -0.5 This is a straightforward application of the quadratic formula to find complex roots, followed by conversion to modulus-argument form. While it's a Further Maths question, it requires only standard techniques (completing the square or quadratic formula, then converting to polar form) with no problem-solving insight needed, making it slightly easier than average overall but routine for Further Pure. |
| Spec | 4.02i Quadratic equations: with complex roots4.02k Argand diagrams: geometric interpretation |
In this question you must show detailed reasoning.
Solve the equation $4z^2 - 20z + 169 = 0$. Give your answers in modulus-argument form. [5]
\hfill \mbox{\textit{OCR Further Pure Core 2 2021 Q1 [5]}}