(main)[5]
Find the complex numbers, $z$, that make the equation $zz^*+5iz+2-10i=0$ true. Give your answers in the form $x+iy$, with $x$ and $y$ real.
Mathematics 9709 · AS & A Level · Complex numbers
Complex numbers — practice question
Find the complex numbers, $z$, for which $zz^*+5iz+2-10i=0$ holds. Give your answers in the form $x+iy$, where $x$ and $y$ are real.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Put $z=x+iy$ into the equation, then expand $z^*$ and the powers.” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI