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2023 Korea Junior Math Olympiad
1
y^2 = x^3 + 2x^2 + 2x + 1
y^2 = x^3 + 2x^2 + 2x + 1
Source: KJMO 2023 P1
November 4, 2023
number theory
Problem Statement
Find all integer pairs
(
x
,
y
)
(x, y)
(
x
,
y
)
such that
y
2
=
x
3
+
2
x
2
+
2
x
+
1.
y^2 = x^3 + 2x^2 + 2x + 1.
y
2
=
x
3
+
2
x
2
+
2
x
+
1.
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