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1
Solve the system of equations - [UKRMO 2009 Grade 11]
Solve the system of equations - [UKRMO 2009 Grade 11]
Source:
January 23, 2011
function
algebra
system of equations
Problem Statement
Solve the system of equations
{
x
3
=
2
y
3
+
y
−
2
y
3
=
2
z
3
+
z
−
2
z
3
=
2
x
3
+
x
−
2
\{\begin{array}{cc}x^3=2y^3+y-2\\ \text{ } \\ y^3=2z^3+z-2 \\ \text{ } \\ z^3 = 2x^3 +x -2\end{array}
{
x
3
=
2
y
3
+
y
−
2
y
3
=
2
z
3
+
z
−
2
z
3
=
2
x
3
+
x
−
2
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