Question 88
Find all triples of nonnegative real numbers $\left(a, b, c\right)$ such that
$$
\left\{
\begin{array}{l}
a^{2}+a b=c \\
b^{2}+b c=a \\
c^{2}+c a=b
\end{array}
\right.
$$
$$
\left\{
\begin{array}{l}
a^{2}+a b=c \\
b^{2}+b c=a \\
c^{2}+c a=b
\end{array}
\right.
$$