焦点 9x^2-4y^2-18x-16y+29=0

解答

焦点

9 x^{2} - 4 y^{2} - 18 x - 16 y + 29 = 0

(1, - 2 + 13), (1, - 2 - 13)

求解步骤

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

计算双曲线性质

9 x^{2} - 4 y^{2} - 18 x - 16 y + 29 = 0 :

上下开口双曲线，

(h, k) = (1, - 2), a = 3, b = 2

(1, - 2 + c), (1, - 2 - c)

计算

c :

c = 3^{2} + 2^{2} : 13

(1, - 2 + 13), (1, - 2 - 13)