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1996 Singapore MO Open
4
4
Part of
1996 Singapore MO Open
Problems
(1)
x^3 + y^3 + z^3 = wx^2y^2z^2 diophantine
Source: Singapore Open Math Olympiad 1996 2nd Round p4 SMO
4/2/2020
Determine all the solutions of the equation
x
3
+
y
3
+
z
3
=
w
x
2
y
2
z
2
x^3 + y^3 + z^3 = wx^2y^2z^2
x
3
+
y
3
+
z
3
=
w
x
2
y
2
z
2
in natural numbers
x
,
y
,
z
,
w
x, y, z, w
x
,
y
,
z
,
w
. Justify your answer
Diophantine equation
diophantine
number theory