(x+y)(x-y)=119

解答

(x + y) (x - y) = 119

(h, k) = (0, 0), a = 119, b = 119

求解步骤

(x + y) (x - y) = 119

将

(x + y) (x - y) = 119

改写为标准双曲线方程形式

\frac{( x - 0 ) ^{2}}{( 119 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 119 ) ^{2}} = 1

因此双曲线的性质为:

(h, k) = (0, 0), a = 119, b = 119

y^{2} - 4 x^{2} - 4 y + 24 x = 48

x^{2} - 4 y^{2} + 2 x - 16 y - 19 = 0

(x^{2} - 4 x) - (y^{2} + 4 y) = 1

6 x^{2} - 3 y^{2} + 36 x + 30 y = 39

y^{2} - 4 = 9 x^{2}