For this question, you must not use a calculator. The complex numbers $w$ and $z$ satisfy the relation $w = \frac{z + i}{iz + 2}$.
(i)[4]
With $z = 1 + i$, determine $w$, writing your answer in the form $x + iy$, where $x$ and $y$ are real.
(ii)[4]
If instead $w = z$ and the real part of $z$ is negative, determine $z$, writing your answer in the form $x + iy$, where $x$ and $y$ are real.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Put $z=1+i$ into the formula and get $w=\frac{1+2i}{1+i}$” …