4y^2-9x^2+36x-24y-36=0

解答

4 y^{2} - 9 x^{2} + 36 x - 24 y - 36 = 0

(h, k) = (2, 3), a = 3, b = 2

求解步骤

4 y^{2} - 9 x^{2} + 36 x - 24 y - 36 = 0

将

4 y^{2} - 9 x^{2} + 36 x - 24 y - 36 = 0

改写为标准双曲线方程形式

\frac{( y - 3 ) ^{2}}{3 ^{2}} - \frac{( x - 2 ) ^{2}}{2 ^{2}} = 1

因此双曲线的性质为:

(h, k) = (2, 3), a = 3, b = 2