What is 3x^2-6x-4y^2=9 ?

The solution to 3x^2-6x-4y^2=9 is Hyperbola with (h,k)=(1,0),a=2,b=sqrt(3)

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3x^2-6x-4y^2=9

3 x^{2} - 6 x - 4 y^{2} = 9

(h, k) = (1, 0), a = 2, b = 3

Solution steps

3 x^{2} - 6 x - 4 y^{2} = 9

Rewrite

3 x^{2} - 6 x - 4 y^{2} = 9

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, 0), a = 2, b = 3

9 x^{2} - 16 y^{2} = 64

\frac{x ^{2}}{25} - \frac{y ^{2}}{49} = 1

x^{2} = y^{2} - 25

(y + 1)^{2} - x^{2} = 8

3 x^{2} - y^{2} + 18 x + 18 = 0

What is 3x^2-6x-4y^2=9 ?
The solution to 3x^2-6x-4y^2=9 is Hyperbola with (h,k)=(1,0),a=2,b=sqrt(3)