Question 139
Let $a$, $b$, and $c$ be pairwise distinct complex numbers such that
$$a^{2} = b + 6,\quad b^{2} = c + 6,\quad \text{and}\quad c^{2} = a + 6.$$
Compute the two possible values of $a + b + c$.
$$a^{2} = b + 6,\quad b^{2} = c + 6,\quad \text{and}\quad c^{2} = a + 6.$$
Compute the two possible values of $a + b + c$.