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2014 IMS
11
Three variable equation
Three variable equation
Source: IMS 2014 - Day2 - Problem11
October 5, 2014
number theory proposed
number theory
Problem Statement
Let the equation
a
2
+
b
2
+
1
=
a
b
c
a^2 + b^2 + 1=abc
a
2
+
b
2
+
1
=
ab
c
have answer in
N
\mathbb{N}
N
.Prove that
c
=
3
c=3
c
=
3
.
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