What is y^2-324x^2=-36 ?

The solution to y^2-324x^2=-36 is Hyperbola with (h,k)=(0,0),a= 1/3 ,b=6

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y^2-324x^2=-36

y^{2} - 324 x^{2} = - 36

(h, k) = (0, 0), a = \frac{1}{3}, b = 6

Solution steps

y^{2} - 324 x^{2} = - 36

Rewrite

y^{2} - 324 x^{2} = - 36

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{1}{3} ) ^{2}} - \frac{( y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{3}, b = 6

\frac{( y ^{2} )}{27} - \frac{( x ^{2} )}{0} = 1

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

8 x^{2} - 9 y^{2} - 63 x - 18 y + 65 = 0

s^{2} = d^{2} + 2^{2}

2 x^{(2)} - 4 y^{(2)} = 16

What is y^2-324x^2=-36 ?
The solution to y^2-324x^2=-36 is Hyperbola with (h,k)=(0,0),a= 1/3 ,b=6