MathDB
Problems
Contests
National and Regional Contests
Germany Contests
QEDMO
2005 QEDMO 1st
8 (Z2)
A²+ab+b²
A²+ab+b²
Source: QEDMO 2005
November 8, 2005
geometry
3D geometry
rotation
complex numbers
Problem Statement
Prove that if
n
n
n
can be written as
n
=
a
2
+
a
b
+
b
2
n=a^2+ab+b^2
n
=
a
2
+
ab
+
b
2
, then also
7
n
7n
7
n
can be written that way.
Back to Problems
View on AoPS