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system x^3+y=x^2+1, 2y^3+z=2y^2+1, 3z^3+x=3z^2+1 (HOMC 2014 J Q14)
system x^3+y=x^2+1, 2y^3+z=2y^2+1, 3z^3+x=3z^2+1 (HOMC 2014 J Q14)
Source:
July 28, 2019
algebra
system of equations
Problem Statement
Solve the system of equations
{
x
3
+
y
=
x
2
+
1
2
y
3
+
z
=
2
y
2
+
1
3
z
3
+
x
=
3
z
2
+
1
\begin{cases} x^3+y = x^2+1\\ 2y^3+z=2y^2+1 \\ 3z^3+x=3z^2+1 \end{cases}
⎩
⎨
⎧
x
3
+
y
=
x
2
+
1
2
y
3
+
z
=
2
y
2
+
1
3
z
3
+
x
=
3
z
2
+
1
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