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PEN A Problems
82
A 82
A 82
Source:
May 25, 2007
quadratics
function
inequalities
Vieta
Divisibility Theory
Vieta Jumping
Problem Statement
Which integers can be represented as
(
x
+
y
+
z
)
2
x
y
z
\frac{(x+y+z)^{2}}{xyz}
x
yz
(
x
+
y
+
z
)
2
where
x
x
x
,
y
y
y
, and
z
z
z
are positive integers?
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