| Exam Board | OCR |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Complex Numbers Arithmetic |
| Type | Pure square root finding |
| Difficulty | Standard +0.3 This is a standard FP1 technique for finding square roots of complex numbers by equating real and imaginary parts of (a+bi)² = 21-20i, leading to simultaneous equations. While it requires careful algebraic manipulation and solving a quadratic, it's a routine textbook exercise with a well-established method that FP1 students practice extensively. |
| Spec | 4.02h Square roots: of complex numbers |
Use an algebraic method to find the square roots of the complex number $21 - 20i$. [6]
\hfill \mbox{\textit{OCR FP1 Q4 [6]}}