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2
Cubic expression is a power of 2
Cubic expression is a power of 2
Source: Serbia IMO TST 2024, P2
May 18, 2024
number theory
Problem Statement
Find all pairs of positive integers
(
x
,
y
)
(x, y)
(
x
,
y
)
, such that
x
3
+
9
x
2
−
11
x
−
11
=
2
y
x^3+9x^2-11x-11=2^y
x
3
+
9
x
2
−
11
x
−
11
=
2
y
.
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