MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Princeton University Math Competition
2008 Princeton University Math Competition
A9
2008 PUMaC Number Theory A9
2008 PUMaC Number Theory A9
Source:
October 4, 2019
number theory
Problem Statement
Find the number of positive integer solutions of
(
x
2
+
2
)
(
y
2
+
3
)
(
z
2
+
4
)
=
60
x
y
z
(x^2 + 2)(y^2 + 3)(z^2 + 4) = 60xyz
(
x
2
+
2
)
(
y
2
+
3
)
(
z
2
+
4
)
=
60
x
yz
.
Back to Problems
View on AoPS