What is y^2-4x^2=12 ?

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

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y^2-4x^2=12

y^{2} - 4 x^{2} = 12

(h, k) = (0, 0), a = 23, b = 3

Solution steps

y^{2} - 4 x^{2} = 12

Rewrite

y^{2} - 4 x^{2} = 12

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 23, b = 3

3 x^{2} - y^{2} \leq 9

4 y^{2} - 49 x^{2} - 392 x + 16 y - 964 = 0

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

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

\frac{( y - 2 ) ^{2}}{16} - \frac{( x + 1 ) ^{2}}{144} = 1

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