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Turkey Team Selection Test
2020 Turkey Team Selection Test
1
1
Part of
2020 Turkey Team Selection Test
Problems
(1)
Cubic equation
Source: Turkey TST 2020 Day 1 P1
3/10/2020
Find all pairs of
(
a
,
b
)
(a,b)
(
a
,
b
)
positive integers satisfying the equation:
a
3
+
b
3
a
b
+
4
=
2020
\frac {a^3+b^3}{ab+4}=2020
ab
+
4
a
3
+
b
3
=
2020
number theory