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2013 District Olympiad
1
x^2 + y^2 + z^2 = 16(x + y + z) diophantine
x^2 + y^2 + z^2 = 16(x + y + z) diophantine
Source: 2013 Romania District VIII p1
September 1, 2024
number theory
Diophantine equation
diophantine
Problem Statement
Find all triples of integers
(
x
,
y
,
z
)
(x, y, z)
(
x
,
y
,
z
)
such that
x
2
+
y
2
+
z
2
=
16
(
x
+
y
+
z
)
.
x^2 + y^2 + z^2 = 16(x + y + z).
x
2
+
y
2
+
z
2
=
16
(
x
+
y
+
z
)
.
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