What is 9+x^2-3y^2=0 ?

The solution to 9+x^2-3y^2=0 is Hyperbola with (h,k)=(0,0),a=sqrt(3),b=3

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

- 3 x^{2} + 2 y^{2} + 6 x - 7 y = 7

16 x^{2} - 9 y^{2} + 32 x + 72 y - 704 = 0

16 x^{2} - 25 y^{2} = 400

\frac{y ^{2}}{25} - \frac{x ^{2}}{4} = 1

\frac{x ^{2}}{144} - \frac{y ^{2}}{81} = 1

What is 9+x^2-3y^2=0 ?
The solution to 9+x^2-3y^2=0 is Hyperbola with (h,k)=(0,0),a=sqrt(3),b=3