If \( A_{1}, A_{2}, A_{3}, \ldots, A_{n}, a_{1}, a_{2}, a_{3}, \ldo...
If \( A_{1}, A_{2}, A_{3}, \ldots, A_{n}, a_{1}, a_{2}, a_{3}, \ldots, a_{n}, a, b, c \in R \), show
\( \mathrm{P} \) that the roots of the equation
WV
\[
\begin{aligned}
\frac{A_{1}^{2}}{x-a_{1}}+\frac{A_{2}^{2}}{x-a_{2}}+\frac{A_{3}^{2}}{x-a_{3}}+\ldots+\frac{A_{n}^{2}}{x-a_{n}} \\
=a b^{2}+c^{2} x+a c \text { are real. }
\end{aligned}
\]
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