What is 8x^2-4y^2-16x-24=0 ?

The solution to 8x^2-4y^2-16x-24=0 is Hyperbola with (h,k)=(1,0),a=2,b=2sqrt(2)

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8x^2-4y^2-16x-24=0

8 x^{2} - 4 y^{2} - 16 x - 24 = 0

(h, k) = (1, 0), a = 2, b = 22

Solution steps

8 x^{2} - 4 y^{2} - 16 x - 24 = 0

Rewrite

8 x^{2} - 4 y^{2} - 16 x - 24 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, 0), a = 2, b = 22

\frac{( y - 1 ) ^{2}}{4} - \frac{( x + 8 ) ^{2}}{25} = 1

3 x^{2} - 4 y^{2} + 3 x + 16 y - 18 = 0

\frac{( x - 5 ) ^{2}}{8 ^{2}} - \frac{( y - 2 ) ^{2}}{6 ^{2}} = 1

4 y^{2} - x^{2} = 900

\frac{( x - 2.5 ) ^{2}}{2. 5 ^{2}} - \frac{( y - 5 ) ^{2}}{5 ^{2}} = 1

What is 8x^2-4y^2-16x-24=0 ?
The solution to 8x^2-4y^2-16x-24=0 is Hyperbola with (h,k)=(1,0),a=2,b=2sqrt(2)