What is the asymptotes of 5x^2-4y^2-20x-8y=4 ?

The asymptotes of 5x^2-4y^2-20x-8y=4 is y=(sqrt(5))/2 (x-2)-1,\quad y=-(sqrt(5))/2 (x-2)-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

asymptotes of 5x^2-4y^2-20x-8y=4

asymptotes

5 x^{2} - 4 y^{2} - 20 x - 8 y = 4

y = \frac{5}{2} (x - 2) - 1, y = - \frac{5}{2} (x - 2) - 1

Solution steps

y = \pm \frac{b}{a} (x - h) + k

Calculate Hyperbola properties

5 x^{2} - 4 y^{2} - 20 x - 8 y = 4 :

Right-left Hyperbola with

(h, k) = (2, - 1), a = 2, b = 5

y = \frac{5}{2} (x - 2) + (- 1), y = - \frac{5}{2} (x - 2) + (- 1)

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

\frac{( x + 2 ) ^{2}}{4} - \frac{( y - 1 ) ^{2}}{9} = 1

4 x^{2} - 25 y^{2} + 100 y = 200

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

9 y^{2} - 49 x^{2} = 441

What is the asymptotes of 5x^2-4y^2-20x-8y=4 ?
The asymptotes of 5x^2-4y^2-20x-8y=4 is y=(sqrt(5))/2 (x-2)-1,\quad y=-(sqrt(5))/2 (x-2)-1