What is x^2-4y^2-2x+16y=20 ?

The solution to x^2-4y^2-2x+16y=20 is Hyperbola with (h,k)=(1,2),a=sqrt(5),b=(sqrt(5))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2-4y^2-2x+16y=20

x^{2} - 4 y^{2} - 2 x + 16 y = 20

(h, k) = (1, 2), a = 5, b = \frac{5}{2}

Solution steps

x^{2} - 4 y^{2} - 2 x + 16 y = 20

Rewrite

x^{2} - 4 y^{2} - 2 x + 16 y = 20

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, 2), a = 5, b = \frac{5}{2}

9 x^{2} - 4 y^{2} - 72 x = 0

y = 2 x^{2}

\frac{x ^{2}}{7} + \frac{y ^{2}}{16} = 1

x^{2} = y + 2

x^{2} = 24 y

What is x^2-4y^2-2x+16y=20 ?
The solution to x^2-4y^2-2x+16y=20 is Hyperbola with (h,k)=(1,2),a=sqrt(5),b=(sqrt(5))/2