-25x^2+4y^2=100

解答

- 25 x^{2} + 4 y^{2} = 100

(h, k) = (0, 0), a = 5, b = 2

求解步骤

- 25 x^{2} + 4 y^{2} = 100

将

- 25 x^{2} + 4 y^{2} = 100

改写为标准双曲线方程形式

\frac{( y - 0 ) ^{2}}{5 ^{2}} - \frac{( x - 0 ) ^{2}}{2 ^{2}} = 1

因此双曲线的性质为:

(h, k) = (0, 0), a = 5, b = 2

\frac{( y + 10 ) ^{2}}{36} - \frac{( x - 3 ) ^{2}}{100} = 1

33 (x - 2)^{2} - 16 (y - 5)^{2} = 528

4 x^{2} - 5 y^{2} - x + 16 y - 1 = 0

9 x^{2} - 16 y^{2} + 54 x - 32 y - 79 = 0

so l v e f or x, x = 3.4 h (x)^{2} - 8 h - 4 x^{2} + 8 x