(main)[6]
Solve the equation $\frac{5z}{2-i} - zz^{*} + 20 + 8i = 0$. Present your answers in the form $x + iy$, where $x$ and $y$ are real.
Mathematics 9709 · AS & A Level · Complex numbers
Complex numbers — practice question
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Try to eliminate the fraction by multiplying everything by $2-i$ or by multiplying the fraction by $\frac{2+i}{2+i}$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI