What is 6x^2-y^2-12x-6y+5=0 ?

The solution to 6x^2-y^2-12x-6y+5=0 is Hyperbola with (h,k)=(1,-3),a=2sqrt(2),b= 2/(sqrt(3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6x^2-y^2-12x-6y+5=0

6 x^{2} - y^{2} - 12 x - 6 y + 5 = 0

(h, k) = (1, - 3), a = 22, b = \frac{2}{3}

Solution steps

6 x^{2} - y^{2} - 12 x - 6 y + 5 = 0

Rewrite

6 x^{2} - y^{2} - 12 x - 6 y + 5 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, - 3), a = 22, b = \frac{2}{3}

4 a 2 - 9 b 2 = (2 a 2 + 3 b 2) (2 a 2 - 3 b 2)

25 x^{2} - 9 y^{2} + 50 x - 36 y - 236 = 0

\frac{( x + 1 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{9} = 1

x^{2} - y^{2} - 6 x - 7 = 0

x^{(2)} - 6 = \frac{( y ^{(2)} )}{( 3 )}

What is 6x^2-y^2-12x-6y+5=0 ?
The solution to 6x^2-y^2-12x-6y+5=0 is Hyperbola with (h,k)=(1,-3),a=2sqrt(2),b= 2/(sqrt(3))