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1983 All Soviet Union Mathematical Olympiad
352
ASU 353 All Soviet Union MO 1983 y^2=x^3-3x^2 + 2x and x^2=y^3-3y^2+2y
ASU 353 All Soviet Union MO 1983 y^2=x^3-3x^2 + 2x and x^2=y^3-3y^2+2y
Source:
July 28, 2019
system of equations
algebra
Problem Statement
Find all the solutions of the system
{
y
2
=
x
3
−
3
x
2
+
2
x
x
2
=
y
3
−
3
y
2
+
2
y
\begin{cases} y^2 = x^3 - 3x^2 + 2x \\ x^2 = y^3 - 3y^2 + 2y \end{cases}
{
y
2
=
x
3
−
3
x
2
+
2
x
x
2
=
y
3
−
3
y
2
+
2
y
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