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Algebra system
Algebra system
Source: Archimedes Junior 2014
March 17, 2020
algebra
Problem Statement
Solve in real number the system
x
3
=
z
y
−
2
y
z
,
y
3
=
x
z
−
2
z
x
,
z
3
=
y
x
−
2
x
y
x^3=\frac{z}{y}-\frac{2y}{z}, y^3=\frac{x}{z}-\frac{2z}{x}, z^3=\frac{y}{x}-\frac{2x}{y}
x
3
=
y
z
−
z
2
y
,
y
3
=
z
x
−
x
2
z
,
z
3
=
x
y
−
y
2
x
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