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Moscow Mathematical Olympiad
1935 Moscow Mathematical Olympiad
017
MMO 017 Moscow MO 1935 system x^3 - y^3 = 2b , x^2y - xy^2 = b
MMO 017 Moscow MO 1935 system x^3 - y^3 = 2b , x^2y - xy^2 = b
Source:
July 17, 2019
system of equations
algebra
parameter
Problem Statement
Solve the system
{
x
3
−
y
3
=
26
x
2
y
−
x
y
2
=
6
\begin{cases} x^3 - y^3 = 26 \\ x^2y - xy^2 = 6 \end{cases}
{
x
3
−
y
3
=
26
x
2
y
−
x
y
2
=
6
in
C
C
C
[hide=other version]solved below Solve the system
{
x
3
−
y
3
=
2
b
x
2
y
−
x
y
2
=
b
\begin{cases} x^3 - y^3 = 2b \\ x^2y - xy^2 = b \end{cases}
{
x
3
−
y
3
=
2
b
x
2
y
−
x
y
2
=
b
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