\[\boxed{\text{407\ (407).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\frac{(2x + y)^{2}}{4} - (x - 0,5y)^{2} = 24\]
\[\frac{4x^{2} + 4xy + y^{2}}{4} -\]
\[- \left( x^{2} + 0,25y^{2} - xy \right) = 24\]
\[x^{2} + xy + \frac{y^{2}}{4} - x^{2} - \frac{y^{2}}{4} + xy = 24\]
\[xy = 12\ \ \]
\[y = \frac{12}{x} \Longrightarrow гипербола.\]
\[Ответ:3.\]
\(\boxed{\text{407.}\text{\ }\text{ОК\ ГДЗ\ -\ домашка\ на\ 5}}\)
\[\textbf{а)}\ (y - 2x)(y + 2x) = 0\]
\[\textbf{б)}\ \left( y - x^{2} \right)(y + 2) = 0.\]