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Hanoi Open Mathematics Competition
2007 Hanoi Open Mathematics Competitions
14
HOMC(Vietnam)
HOMC(Vietnam)
Source:
January 28, 2016
algebra
Problem Statement
How many ordered pairs of integers (x; y) satisfy the equation
x
2
+
y
2
+
x
y
=
4
(
x
+
y
)
?
x^2 + y^2 + xy = 4(x + y)?
x
2
+
y
2
+
x
y
=
4
(
x
+
y
)?
.
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