What is 3x^2-6x-4y^2-9=0 ?

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

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3x^2-6x-4y^2-9=0

3 x^{2} - 6 x - 4 y^{2} - 9 = 0

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

Solution steps

3 x^{2} - 6 x - 4 y^{2} - 9 = 0

Rewrite

3 x^{2} - 6 x - 4 y^{2} - 9 = 0

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} - 4 y^{2} - 18 x - 16 y = 43

5 x^{2} - 3 y^{2} + 35 x + 24 y + 25 = 0

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

\frac{y ^{2}}{9} - \frac{x ^{2}}{7} = 1

4 x^{(2)} - 4 y^{(2)} - 4 x + 8 y - 19 = 0

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