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Poland - First Round
2004 Poland - First Round
1
Polish equality
Polish equality
Source: Poland 2004
October 14, 2004
algebra unsolved
algebra
Problem Statement
1. Solve in real numbers x,y,z :
{
x
2
=
y
z
+
1
y
2
=
z
x
+
2
z
2
=
x
y
+
4
\{\begin{array}{ccc} x^2=yz+1 \\ y^2=zx+2 \\ z^2=xy+4 \\ \end{array}
{
x
2
=
yz
+
1
y
2
=
z
x
+
2
z
2
=
x
y
+
4
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