\[\boxed{\text{782.}\text{\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
\[x^{2} - \frac{p^{2} - 2q}{q}x + 1 = 0\ \ \ \ \ \ | \cdot q\]
\[qx^{2} - \left( p^{2} - 2q \right)x + q = 0\ \]
\[Получим\ уравнение:\ \ x^{2} -\]
\[- \left( \frac{p^{2}}{q} - 2 \right)x + 1 = 0.\]