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Regional Mathematical Olympiad
1999 India Regional Mathematical Olympiad
6
An equation - good
An equation - good
Source: Indian RMO 1999 Problem 6
October 26, 2005
quadratics
LaTeX
Problem Statement
Find all solutions in integers
m
,
n
m,n
m
,
n
of the equation
(
m
−
n
)
2
=
4
m
n
m
+
n
−
1
.
(m-n)^2 = \frac{4mn}{ m+n-1}.
(
m
−
n
)
2
=
m
+
n
−
1
4
mn
.
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