Question 166
For positive $a$, $b$, $c$ it holds
$$
(a + c)(b^2 + ac) = 4a.
$$
Find the maximal possible value of $b + c$ and find all triples $(a, b, c)$, for which the value is attained.
$$
(a + c)(b^2 + ac) = 4a.
$$
Find the maximal possible value of $b + c$ and find all triples $(a, b, c)$, for which the value is attained.