\[\boxed{\text{370.}\text{\ }\text{ОК\ ГДЗ\ -\ домашка\ на\ 5}}\]
\[\frac{(2x + y)^{2}}{4} - (x - 0,5y)^{2} = 24\]
\[x^{2} + xy + \frac{y^{2}}{4} - x^{2} - \frac{y^{2}}{4} + xy =\]
\[= 24\]
\[xy = 12\ \ \]
\[y = \frac{12}{x} \Longrightarrow гипербола.\]
\[Ответ:3.\]