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2015 İberoAmerican
5
Quartic equation in 2 variables
Quartic equation in 2 variables
Source: Iberoamerican 2015 #5
November 11, 2015
algebra
Problem Statement
Find all pairs of integers
(
a
,
b
)
(a,b)
(
a
,
b
)
such that
(
b
2
+
7
(
a
−
b
)
)
2
=
a
3
b
(b^2+7(a-b))^2=a^{3}b
(
b
2
+
7
(
a
−
b
)
)
2
=
a
3
b
.
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