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2009 Junior Balkan Team Selection Tests - Moldova
6
x^3-y^3=x-y+2^{x-y}
x^3-y^3=x-y+2^{x-y}
Source: Moldova JTST 2009
May 10, 2023
number theory
Problem Statement
Prove that there are no pairs of nonnegative integers
(
x
,
y
)
(x,y)
(
x
,
y
)
that satisfy the equality
x
3
−
y
3
=
x
−
y
+
2
x
−
y
.
x^3-y^3=x-y+2^{x-y}.
x
3
−
y
3
=
x
−
y
+
2
x
−
y
.
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