What is 9y^2-x^2=81 ?

The solution to 9y^2-x^2=81 is Hyperbola with (h,k)=(0,0),a=3,b=9

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9y^2-x^2=81

9 y^{2} - x^{2} = 81

(h, k) = (0, 0), a = 3, b = 9

Solution steps

9 y^{2} - x^{2} = 81

Rewrite

9 y^{2} - x^{2} = 81

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{3 ^{2}} - \frac{( x - 0 ) ^{2}}{9 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = 9

\frac{( y + 2 ) ^{2}}{3 ^{2}} - \frac{( x - 5 ) ^{2}}{5 ^{2}} = 1

x^{2} - y^{2} + 4 x + 16 y - 69 = 0

- \frac{36 ( x - 3 ) ^{2}}{1} + \frac{25 ( y - 4 ) ^{2}}{1} = 900

x^{2} - 5 y^{2} = 3

\frac{( y + 5 ) ^{2}}{100} - \frac{( x - 4 ) ^{2}}{121} = 1

What is 9y^2-x^2=81 ?
The solution to 9y^2-x^2=81 is Hyperbola with (h,k)=(0,0),a=3,b=9