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Contests
National and Regional Contests
Saudi Arabia Contests
Saudi Arabia Pre-TST + Training Tests
2017 Saudi Arabia Pre-TST + Training Tests
7
7
Part of
2017 Saudi Arabia Pre-TST + Training Tests
Problems
(1)
y^3 = 8x^6 + 2x^3 y -y^2
Source: 2017 Saudi Arabia IMO Training Test p7
9/4/2020
Find all pairs of integers
(
x
,
y
)
(x, y)
(
x
,
y
)
such that
y
3
=
8
x
6
+
2
x
3
y
ā
y
2
y^3 = 8x^6 + 2x^3 y -y^2
y
3
=
8
x
6
+
2
x
3
y
ā
y
2
.
number theory
Diophantine equation
diophantine