What is the foci 9x^2-y^2-54x+45=0 ?

The foci 9x^2-y^2-54x+45=0 is (3+2sqrt(10),0),(3-2sqrt(10),0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

foci 9x^2-y^2-54x+45=0

foci

9 x^{2} - y^{2} - 54 x + 45 = 0

(3 + 210, 0), (3 - 210, 0)

Solution steps

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

Calculate Hyperbola properties

9 x^{2} - y^{2} - 54 x + 45 = 0 :

Right-left Hyperbola with

(h, k) = (3, 0), a = 2, b = 6

(3 + c, 0), (3 - c, 0)

Compute

c :

c = 2^{2} + 6^{2} : 210

(3 + 210, 0), (3 - 210, 0)

x^{2} - 16 y^{2} = 16

3 x^{2} - y^{2} = 11

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

y^{2} - 4 x^{2} - 10 y - 40 x - 100 = 0

- 1 = x^{2} - y^{2}

What is the foci 9x^2-y^2-54x+45=0 ?
The foci 9x^2-y^2-54x+45=0 is (3+2sqrt(10),0),(3-2sqrt(10),0)