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National and Regional Contests
Netherlands Contests
Dutch Mathematical Olympiad
1978 Dutch Mathematical Olympiad
1
3x^2 = 9 + y^3
3x^2 = 9 + y^3
Source: Netherlands - Dutch NMO 1978 p1
January 28, 2023
diophantine
Diophantine equation
number theory
Problem Statement
Prove that no integer
x
x
x
and
y
y
y
satisfy:
3
x
2
=
9
+
y
3
.
3x^2 = 9 + y^3.
3
x
2
=
9
+
y
3
.
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