MathDB
Problems
Contests
International Contests
IMO Longlists
1986 IMO Longlists
32
32
Part of
1986 IMO Longlists
Problems
(1)
Solve in positive integers
Source:
8/29/2010
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
.
number theory proposed
number theory