What is 4x^2-8x-3y^2-8=0 ?

The solution to 4x^2-8x-3y^2-8=0 is Hyperbola with (h,k)=(1,0),a=sqrt(3),b=2

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4x^2-8x-3y^2-8=0

4 x^{2} - 8 x - 3 y^{2} - 8 = 0

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

Solution steps

4 x^{2} - 8 x - 3 y^{2} - 8 = 0

Rewrite

4 x^{2} - 8 x - 3 y^{2} - 8 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

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

(x - 0)^{2} - (y - 4)^{2} = 1

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

\frac{( y - 4 ) ^{2}}{16} - \frac{( x + 3 ) ^{2}}{36} = 1

\frac{y}{4 x ^{2} - 9 y ^{2}} = 36

What is 4x^2-8x-3y^2-8=0 ?
The solution to 4x^2-8x-3y^2-8=0 is Hyperbola with (h,k)=(1,0),a=sqrt(3),b=2