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Moldova Contests
Moldova Team Selection Test
1999 Moldova Team Selection Test
12
12
Part of
1999 Moldova Team Selection Test
Problems
(1)
$$x^2+y^2+1998=1997x-1999y.$$
Source: Moldova TST 1999
8/7/2023
Solve the equation in postive integers
x
2
+
y
2
+
1998
=
1997
x
ā
1999
y
.
x^2+y^2+1998=1997x-1999y.
x
2
+
y
2
+
1998
=
1997
x
ā
1999
y
.
number theory