25x^2-36y^2-150x-288y-1251=0

解答

25 x^{2} - 36 y^{2} - 150 x - 288 y - 1251 = 0

(h, k) = (3, - 4), a = 6, b = 5

求解步骤

25 x^{2} - 36 y^{2} - 150 x - 288 y - 1251 = 0

将

25 x^{2} - 36 y^{2} - 150 x - 288 y - 1251 = 0

改写为标准双曲线方程形式

\frac{( x - 3 ) ^{2}}{6 ^{2}} - \frac{( y - ( - 4 ) ) ^{2}}{5 ^{2}} = 1

因此双曲线的性质为:

(h, k) = (3, - 4), a = 6, b = 5

x^{2} + y^{2} + 5 x + y - 26 = 0.2 x^{2} + 2 y^{2} - 4 x + 9 y + 4

\frac{x ^{2}}{2} - \frac{y ^{2}}{1} = 1

16 x^{2} - 128 x - y^{2} - 12 y + 224 = 0

3 y^{2} - x^{2} + 6 x - 12 = 0

- \frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 1