What is 9x^2=4y^2-12 ?

The solution to 9x^2=4y^2-12 is Hyperbola with (h,k)=(0,0),a=sqrt(3),b= 2/(sqrt(3))

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9x^2=4y^2-12

9 x^{2} = 4 y^{2} - 12

(h, k) = (0, 0), a = 3, b = \frac{2}{3}

Solution steps

9 x^{2} = 4 y^{2} - 12

Rewrite

9 x^{2} = 4 y^{2} - 12

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( 3 ) ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{2}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = \frac{2}{3}

9 y^{2} - 16 x^{2} - 36 y + 32 x - 124 = 0

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

- 25 x^{2} + 100 y^{2} + 10 x - 80 y = - 95

25 x^{2} - 64 (y - 6)^{2} = 1600

\frac{( x + 4 ) ^{2}}{9} - \frac{( y - 1 ) ^{2}}{16} = 1

What is 9x^2=4y^2-12 ?
The solution to 9x^2=4y^2-12 is Hyperbola with (h,k)=(0,0),a=sqrt(3),b= 2/(sqrt(3))