What is x^2-3y^2+12=0 ?

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

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x^2-3y^2+12=0

x^{2} - 3 y^{2} + 12 = 0

(h, k) = (0, 0), a = 2, b = 23

Solution steps

x^{2} - 3 y^{2} + 12 = 0

Rewrite

x^{2} - 3 y^{2} + 12 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 23

25 x^{2} - 4 y^{2} + 50 x + 8 y + 121 = 0

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

x^{2} - y^{2} = 17

\frac{( x - 5 ) ^{2}}{1} - \frac{( y - 4 ) ^{2}}{1} = 1

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

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