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1998 Korea Junior Math Olympiad
1
1998 KJMO P1 Finding integer solutions(easy)
1998 KJMO P1 Finding integer solutions(easy)
Source: 1998 KJMO P1
June 30, 2024
number theory
KJMO
Diophantine equation
Problem Statement
Show that there exist no integer solutions
(
x
,
y
,
z
)
(x, y, z)
(
x
,
y
,
z
)
to the equation
x
3
+
2
y
3
+
4
z
3
=
9
x^3+2y^3+4z^3=9
x
3
+
2
y
3
+
4
z
3
=
9
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