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Austrian-Polish
1993 Austrian-Polish Competition
5
x^3 + y = 3x + 4 ,2y^3 + z = 6y + 6, 3z^3 + x = 9z + 8.
x^3 + y = 3x + 4 ,2y^3 + z = 6y + 6, 3z^3 + x = 9z + 8.
Source: Austrian - Polish 1993 APMC
May 3, 2020
system of equations
algebra
Austrian Polish
Problem Statement
Solve in real numbers the system
{
x
3
+
y
=
3
x
+
4
2
y
3
+
z
=
6
y
+
6
3
z
3
+
x
=
9
z
+
8
\begin{cases} x^3 + y = 3x + 4 \\ 2y^3 + z = 6y + 6 \\ 3z^3 + x = 9z + 8\end{cases}
⎩
⎨
⎧
x
3
+
y
=
3
x
+
4
2
y
3
+
z
=
6
y
+
6
3
z
3
+
x
=
9
z
+
8
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