焦点 2x^2-2y^2-20x+16y-16=0

解答

焦点

2 x^{2} - 2 y^{2} - 20 x + 16 y - 16 = 0

(5 + 34, 4), (5 - 34, 4)

求解步骤

(h + c, k), (h - c, k)

计算双曲线性质

2 x^{2} - 2 y^{2} - 20 x + 16 y - 16 = 0 :

左右开口双曲线，

(h, k) = (5, 4), a = 17, b = 17

(5 + c, 4), (5 - c, 4)

计算

c :

c = 17^{2} + 17^{2} : 34

(5 + 34, 4), (5 - 34, 4)