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diophantine x^3 - (x + y + z)^2 = (y + z)^3 + 34 (HOMC 2016 J Q8)
diophantine x^3 - (x + y + z)^2 = (y + z)^3 + 34 (HOMC 2016 J Q8)
Source:
August 7, 2019
number theory
Diophantine equation
diophantine
Problem Statement
Find all positive integers
x
,
y
,
z
x,y,z
x
,
y
,
z
such that
x
3
ā
(
x
+
y
+
z
)
2
=
(
y
+
z
)
3
+
34
x^3 - (x + y + z)^2 = (y + z)^3 + 34
x
3
ā
(
x
+
y
+
z
)
2
=
(
y
+
z
)
3
+
34
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