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2009 Tournament Of Towns
3
Solve the equation - TT 2009 Junior-A3
Solve the equation - TT 2009 Junior-A3
Source:
September 3, 2010
symmetry
number theory proposed
number theory
Problem Statement
Find all positive integers
a
a
a
and
b
b
b
such that
(
a
+
b
2
)
(
b
+
a
2
)
=
2
m
(a + b^2)(b + a^2) = 2^m
(
a
+
b
2
)
(
b
+
a
2
)
=
2
m
for some integer
m
.
m.
m
.
(6 points)
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