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32
Solve in positive integers
Solve in positive integers
Source:
August 29, 2010
number theory proposed
number theory
Problem Statement
Find, with proof, all solutions of the equation
1
x
+
2
y
−
3
z
=
1
\frac 1x +\frac 2y- \frac 3z = 1
x
1
+
y
2
−
z
3
=
1
in positive integers
x
,
y
,
z
.
x, y, z.
x
,
y
,
z
.
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