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6
2000 Guts #6: Diophantine equation
2000 Guts #6: Diophantine equation
Source:
October 12, 2014
algebra
polynomial
Vieta
Problem Statement
If integers
m
,
n
,
k
m,n,k
m
,
n
,
k
satisfy
m
2
+
n
2
+
1
=
k
m
n
m^2+n^2+1=kmn
m
2
+
n
2
+
1
=
kmn
, what values can
k
k
k
have?
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