What is 12x^2-4y^2-72x-16y+44=0 ?

The solution to 12x^2-4y^2-72x-16y+44=0 is Hyperbola with (h,k)=(3,-2),a=2,b=2sqrt(3)

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12x^2-4y^2-72x-16y+44=0

12 x^{2} - 4 y^{2} - 72 x - 16 y + 44 = 0

(h, k) = (3, - 2), a = 2, b = 23

Solution steps

12 x^{2} - 4 y^{2} - 72 x - 16 y + 44 = 0

Rewrite

12 x^{2} - 4 y^{2} - 72 x - 16 y + 44 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (3, - 2), a = 2, b = 23

- x^{2} + 36 z^{2} = 9

x, 3 x^{2} - 6 Y (x)^{2} - 36 = 0

\frac{y ^{2}}{2} + y = \frac{x ^{2}}{2} - x + \frac{21}{32}

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

3 x^{2} - y^{2} - 24 x - 8 y + 61 = 0

What is 12x^2-4y^2-72x-16y+44=0 ?
The solution to 12x^2-4y^2-72x-16y+44=0 is Hyperbola with (h,k)=(3,-2),a=2,b=2sqrt(3)