What is 16y^2-4x^2+16x-80=20 ?

The solution to 16y^2-4x^2+16x-80=20 is Hyperbola with (h,k)=(2,0),a=(sqrt(21))/2 ,b=sqrt(21)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

16y^2-4x^2+16x-80=20

16 y^{2} - 4 x^{2} + 16 x - 80 = 20

(h, k) = (2, 0), a = \frac{21}{2}, b = 21

Solution steps

16 y^{2} - 4 x^{2} + 16 x - 80 = 20

Rewrite

16 y^{2} - 4 x^{2} + 16 x - 80 = 20

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( \frac{21}{2} ) ^{2}} - \frac{( x - 2 ) ^{2}}{( 21 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, 0), a = \frac{21}{2}, b = 21

x^{2} - y^{2} + 6 x - 4 y + 4 = 0

4 x^{2} - y^{2} + 16 x + 6 y = 9

\frac{x ^{2}}{289} - \frac{( y - 70 ) ^{2}}{1600} = 1

16 x^{2} - 9 y^{2} - 64 x - 54 y - 161 = 0

25 x^{2} - 4 y^{2} - 100 = 0

What is 16y^2-4x^2+16x-80=20 ?
The solution to 16y^2-4x^2+16x-80=20 is Hyperbola with (h,k)=(2,0),a=(sqrt(21))/2 ,b=sqrt(21)