Question 29
Find the number of ordered triples of nonnegative integers $(a, b, c)$ that satisfy
$$
(a b+1)(b c+1)(c a+1)=84.
$$
$$
(a b+1)(b c+1)(c a+1)=84.
$$
MathNet 2017-part-07 — 172 problems (EN–VI) Question 29
Math Olympiad Vault · MathNet 2017-part-07 — 172 problems (EN–VI)