What is x^2-4y^2-6x+16y+21=0 ?

The solution to x^2-4y^2-6x+16y+21=0 is Hyperbola with (h,k)=(3,2),a=sqrt(7),b=2sqrt(7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2-4y^2-6x+16y+21=0

x^{2} - 4 y^{2} - 6 x + 16 y + 21 = 0

(h, k) = (3, 2), a = 7, b = 27

Solution steps

x^{2} - 4 y^{2} - 6 x + 16 y + 21 = 0

Rewrite

x^{2} - 4 y^{2} - 6 x + 16 y + 21 = 0

in the form of a standard hyperbola equation

\frac{( y - 2 ) ^{2}}{( 7 ) ^{2}} - \frac{( x - 3 ) ^{2}}{( 2 7 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (3, 2), a = 7, b = 27

\frac{x ^{2}}{36} - \frac{y ^{2}}{5} = 1

yy = (x + 7)^{2} + 3

y^{2} + \frac{4}{3} - x^{2} = 0

4 x^{2} - 16 y^{2} - 4 x + 32 y = 31

4 x^{2} - 16 y^{2} - 8 x - 96 y - 204 = 0

What is x^2-4y^2-6x+16y+21=0 ?
The solution to x^2-4y^2-6x+16y+21=0 is Hyperbola with (h,k)=(3,2),a=sqrt(7),b=2sqrt(7)