Question 34
Let $a$, $b$ and $c$ be real numbers satisfying
$$
|(a - b)(b - c)(c - a)| = 1.
$$
Find the minimum value of $|a| + |b| + |c|$.
$$
|(a - b)(b - c)(c - a)| = 1.
$$
Find the minimum value of $|a| + |b| + |c|$.
MathNet 2016-part-05 — 184 problems (EN–VI) Question 34
Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)