| Exam Board | SPS |
|---|---|
| Module | SPS FM Pure (SPS FM Pure) |
| Year | 2021 |
| Session | June |
| Marks | 8 |
| Topic | Complex Numbers Arithmetic |
| Type | Quadratic with complex coefficients |
| Difficulty | Standard +0.8 This is a complex quadratic requiring the quadratic formula with complex arithmetic, then finding the square root of a complex number (likely via z² method or converting to polar form). While systematic, it involves multiple non-trivial steps beyond standard A-level content, making it moderately challenging for Further Maths students. |
| Spec | 4.02h Square roots: of complex numbers4.02i Quadratic equations: with complex roots |
Solve the quadratic equation $x^2 - 4x - 1 - 12i = 0$ writing your solutions in the form $a + bi$.
[8]
\hfill \mbox{\textit{SPS SPS FM Pure 2021 Q4 [8]}}