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1999 Moldova Team Selection Test
12
$$x^2+y^2+1998=1997x-1999y.$$
$$x^2+y^2+1998=1997x-1999y.$$
Source: Moldova TST 1999
August 7, 2023
number theory
Problem Statement
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
.
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