Question 74
Let $z$ be a complex number such that
$$
|z - 5| = |z - 1| + 4.
$$
Prove that $z$ is a real number.
$$
|z - 5| = |z - 1| + 4.
$$
Prove that $z$ is a real number.
MathNet 2018-part-02 — 181 problems (EN–VI) Question 74
Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)