Question 122
Solve in the real numbers the system:
$$
\begin{cases}
a + b + c = 0 \\
ab^3 + bc^3 + ca^3 = 0
\end{cases}.
$$
$$
\begin{cases}
a + b + c = 0 \\
ab^3 + bc^3 + ca^3 = 0
\end{cases}.
$$
Math Olympiad Vault · MathNet 2023-part-02 — 191 problems (EN–VI)