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Austrian-Polish
1985 Austrian-Polish Competition
4
System of equations
System of equations
Source: Lithuanian Mathematical Olympiad 2006
April 12, 2006
algebra
system of equations
algebra unsolved
Problem Statement
Solve the system of equations:
{
x
4
+
y
2
−
x
y
3
−
9
8
x
=
0
y
4
+
x
2
−
y
x
3
−
9
8
y
=
0
\left\{ \begin{aligned} x^4+y^2-xy^3-\frac{9}{8}x = 0 \\ y^4+x^2-yx^3-\frac{9}{8}y=0 \end{aligned} \right.
⎩
⎨
⎧
x
4
+
y
2
−
x
y
3
−
8
9
x
=
0
y
4
+
x
2
−
y
x
3
−
8
9
y
=
0
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