What is -x^2+36z^2=9 ?

The solution to -x^2+36z^2=9 is Hyperbola with (h,k)=(0,0),a= 1/2 ,b=3

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-x^2+36z^2=9

- x^{2} + 36 z^{2} = 9

(h, k) = (0, 0), a = \frac{1}{2}, b = 3

Solution steps

- x^{2} + 36 z^{2} = 9

Rewrite

- x^{2} + 36 z^{2} = 9

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{2}, b = 3

x, 3 x^{2} - 6 Y (x)^{2} - 36 = 0

\frac{y ^{2}}{2} + y = \frac{x ^{2}}{2} - x + \frac{21}{32}

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

3 x^{2} - y^{2} - 24 x - 8 y + 61 = 0

(y + 2)^{2} = 2 x^{2} + 8

What is -x^2+36z^2=9 ?
The solution to -x^2+36z^2=9 is Hyperbola with (h,k)=(0,0),a= 1/2 ,b=3