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Dutch Mathematical Olympiad
1979 Dutch Mathematical Olympiad
2
a^3=b^3+c^3+12a , a^2=5(b+c), diophantine 2x3 system
a^3=b^3+c^3+12a , a^2=5(b+c), diophantine 2x3 system
Source: Netherlands - Dutch NMO 1979 p2
January 28, 2023
number theory
system of equations
System
diophantine
Problem Statement
Solve in
N
N
N
:
{
a
3
=
b
3
+
c
3
+
12
a
a
2
=
5
(
b
+
c
)
\begin{cases} a^3=b^3+c^3+12a \\ a^2=5(b+c) \end{cases}
{
a
3
=
b
3
+
c
3
+
12
a
a
2
=
5
(
b
+
c
)
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