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JBMO TST - Macedonia
2009 JBMO TST - Macedonia
2
Macedonian JBMO TST 2009 - Problem 2
Macedonian JBMO TST 2009 - Problem 2
Source: Macedonian JBMO TST 2009
September 23, 2012
number theory proposed
number theory
Problem Statement
Let
a
a
a
and
b
b
b
be integer numbers. Let
a
=
a
2
+
b
2
−
8
b
−
2
a
b
+
16
a = a^{2}+b^{2}-8b-2ab+16
a
=
a
2
+
b
2
−
8
b
−
2
ab
+
16
. Prove that
a
a
a
is a perfect square.
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