What is 9y^{(2)}-x^{(2)}=36 ?

The solution to 9y^{(2)}-x^{(2)}=36 is Hyperbola with (h,k)=(0,0),a=2,b=6

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9y^{(2)}-x^{(2)}=36

9 y^{(2)} - x^{(2)} = 36

(h, k) = (0, 0), a = 2, b = 6

Solution steps

9 y^{2} - x^{2} = 36

Rewrite

9 y^{2} - x^{2} = 36

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{2 ^{2}} - \frac{( x - 0 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 6

x - 3 = \frac{y ^{2} + 9}{x + 3}

x^{2} - 16 y^{2} - 16 = 0

4 x^{2} - 9 y^{2} = 15

(x - 2)^{2} - (y + 3)^{2} = 13

\frac{( x - 6 ) ^{2}}{4} - \frac{( y + 6 ) ^{2}}{81} = 1

What is 9y^{(2)}-x^{(2)}=36 ?
The solution to 9y^{(2)}-x^{(2)}=36 is Hyperbola with (h,k)=(0,0),a=2,b=6