a^2-b^2=51

解答

a^{2} - b^{2} = 51

(h, k) = (0, 0), a = 51, b = 51

求解步骤

a^{2} - b^{2} = 51

将

a^{2} - b^{2} = 51

改写为标准双曲线方程形式

\frac{( a - 0 ) ^{2}}{( 51 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 51 ) ^{2}} = 1

因此双曲线的性质为:

(h, k) = (0, 0), a = 51, b = 51

10 y^{2} - 9 x^{2} = 144

10 x^{2} - 7 y^{2} - 30 x + 14 y = 5

25 x^{2} - 9 y^{2} + 100 x - 54 y + 10 = 0

y^{2} = x^{2} + 8

9 x^{2} + 36 = y^{2} + 36 x + 6 y