What is 3x^2-2y^2+24x+12y+24=0 ?

The solution to 3x^2-2y^2+24x+12y+24=0 is Hyperbola with (h,k)=(-4,3),a=sqrt(2),b=sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3x^2-2y^2+24x+12y+24=0

3 x^{2} - 2 y^{2} + 24 x + 12 y + 24 = 0

(h, k) = (- 4, 3), a = 2, b = 3

Solution steps

3 x^{2} - 2 y^{2} + 24 x + 12 y + 24 = 0

Rewrite

3 x^{2} - 2 y^{2} + 24 x + 12 y + 24 = 0

in the form of a standard hyperbola equation

\frac{( x - ( - 4 ) ) ^{2}}{( 2 ) ^{2}} - \frac{( y - 3 ) ^{2}}{( 3 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 4, 3), a = 2, b = 3

9 x^{2} - 16 y^{2} - 54 x + 64 y - 127 = 0

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

y^{2} = 2 x^{2} - 1

3 y^{2} - 6 x^{2} - 12 = 0

9 x^{2} - 16 y^{2} - 144 = 0

What is 3x^2-2y^2+24x+12y+24=0 ?
The solution to 3x^2-2y^2+24x+12y+24=0 is Hyperbola with (h,k)=(-4,3),a=sqrt(2),b=sqrt(3)