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Greece Team Selection Test
2015 Greece Team Selection Test
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1
Part of
2015 Greece Team Selection Test
Problems
(1)
Equation in positive integers
Source: Greek BMO TST 2015 Problem 1
4/5/2015
Solve in positive integers the following equation;
x
y
(
x
+
y
−
10
)
−
3
x
2
−
2
y
2
+
21
x
+
16
y
=
60
xy(x+y-10)-3x^2-2y^2+21x+16y=60
x
y
(
x
+
y
−
10
)
−
3
x
2
−
2
y
2
+
21
x
+
16
y
=
60
number theory