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Contests
National and Regional Contests
India Contests
India National Olympiad
2001 India National Olympiad
2
2
Part of
2001 India National Olympiad
Problems
(1)
Prove that there are infinte...
Source: INMO 2001 Problem 2
10/10/2005
Show that the equation
x
2
+
y
2
+
z
2
=
(
x
−
y
)
(
y
−
z
)
(
z
−
x
)
x^2 + y^2 + z^2 = ( x-y)(y-z)(z-x)
x
2
+
y
2
+
z
2
=
(
x
−
y
)
(
y
−
z
)
(
z
−
x
)
has infintely many solutions in integers
x
,
y
,
z
x,y,z
x
,
y
,
z
.
modular arithmetic
algebra
polynomial
arithmetic sequence
number theory solved
number theory