267. What relationship exists between the roots of the equations:

$$
\begin{aligned}
& a x^{2}+b x+c=0 \\
& c x^{2}+b x+a=0
\end{aligned}
$$
267. Let $x_{1}, x_{2}$ be the roots of the first equation, and $x_{3}, x_{4}$ the roots of the second. Clearly, $\frac{1}{x_{1}}, \frac{1}{x_{2}}$ satisfy the second equation and that it has no other roots. Thus, $x_{3},{ }_{4}=\frac{1}{x_{1}, 2}$.