Question 135
Solve the following system of equations in real numbers:
$$
\begin{cases}
a^2 = b^5 + c^5 \\
b^2 = c^5 + a^5 \\
c^2 = a^5 + b^5.
\end{cases}
$$
$$
\begin{cases}
a^2 = b^5 + c^5 \\
b^2 = c^5 + a^5 \\
c^2 = a^5 + b^5.
\end{cases}
$$
MathNet 2016-part-02 — 184 problems (EN–VI) Question 135
Math Olympiad Vault · MathNet 2016-part-02 — 184 problems (EN–VI)