Question 61
The graphs of the functions $f(x) = ax^2 + bx + c$, $g(x) = \frac{cx + b}{cx + a}$, $h(x) = cx + b$ have the unique common point of the intersection, and the graph of $h(x)$ has no another common points with the graphs of $f(x)$ and $g(x)$. All $a, b, c$ are non-zero pairwise distinct real numbers.
Find all possible values of $a, b, c$.
Find all possible values of $a, b, c$.