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2021 Malaysia IMONST 1
12
diophantine xyz = 2(x + y + z) 2021 Malaysia IMONST 1 Senior P12
diophantine xyz = 2(x + y + z) 2021 Malaysia IMONST 1 Senior P12
Source:
September 21, 2021
number theory
Diophantine equation
diophantine
Problem Statement
Determine the number of positive integer solutions
(
x
,
y
,
z
)
(x,y, z)
(
x
,
y
,
z
)
to the equation
x
y
z
=
2
(
x
+
y
+
z
)
xyz = 2(x + y + z)
x
yz
=
2
(
x
+
y
+
z
)
.
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