What is (x^2)/9-9y^2=1 ?

The solution to (x^2)/9-9y^2=1 is Hyperbola with (h,k)=(0,0),a=3,b= 1/3

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(x^2)/9-9y^2=1

\frac{x ^{2}}{9} - 9 y^{2} = 1

(h, k) = (0, 0), a = 3, b = \frac{1}{3}

Solution steps

\frac{x ^{2}}{9} - 9 y^{2} = 1

Rewrite

\frac{x ^{2}}{9} - 9 y^{2} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = \frac{1}{3}

4 y^{2} - 9 x^{2} + 36 x - 24 y - 36 = 0

25 y^{2} - 9 x^{2} = 225

2 x^{2} - 4 y^{2} + 8 x - 12 y + 64 = 0

4 x^{2} - y^{2} - 2 y - 5 = 0

4 x^{2} - 9 y^{2} - 24 x - 36 y - 36 = 0

What is (x^2)/9-9y^2=1 ?
The solution to (x^2)/9-9y^2=1 is Hyperbola with (h,k)=(0,0),a=3,b= 1/3