Question 96
Determine the complex number $z$ such that
$$
\text{Re} \frac{1}{1-z} = 2 \quad \text{and} \quad \text{Im} \frac{1}{1-z} = -1
$$
$$
\text{Re} \frac{1}{1-z} = 2 \quad \text{and} \quad \text{Im} \frac{1}{1-z} = -1
$$
MathNet 2013 Question 96
Math Olympiad Vault · MathNet 2013