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Bulgaria JBMO Team Selection Test
2017 Bulgaria JBMO TST
2
NT equation with two variables
NT equation with two variables
Source: Bulgaria JBMO TST 2017 P2 Day 1
August 26, 2019
number theory
number theory proposed
Problem Statement
Solve the following equation over the integers
25
x
2
y
2
+
10
x
2
y
+
25
x
y
2
+
x
2
+
30
x
y
+
2
y
2
+
5
x
+
7
y
+
6
=
0.
25x^2y^2+10x^2y+25xy^2+x^2+30xy+2y^2+5x+7y+6= 0.
25
x
2
y
2
+
10
x
2
y
+
25
x
y
2
+
x
2
+
30
x
y
+
2
y
2
+
5
x
+
7
y
+
6
=
0.
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