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2019 Danube Mathematical Competition
1
An equation in two variables from this year
An equation in two variables from this year
Source: 2019 Danube
October 29, 2019
equations
Diophantine equation
algebra
Problem Statement
Solve in
Z
2
\mathbb{Z}^2
Z
2
the equation:
x
2
(
1
+
x
2
)
=
ā
1
+
2
1
y
.
x^2\left( 1+x^2 \right) =-1+21^y.
x
2
(
1
+
x
2
)
=
ā
1
+
2
1
y
.
Lucian Petrescu
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