What is 9y^2-z^2=36 ?

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

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9y^2-z^2=36

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

\frac{( x - 3 ) ^{2}}{4} - \frac{y ^{2}}{9} = 1

- 16 x^{2} + 4 y^{2} - 32 x + 16 y - 64 = 0

4 x^{2} - 16 x - 9 y^{2} = 20

\frac{17}{x + y} \frac{5}{x - y} = 5

\frac{( y - 3 ) ^{2}}{81} - \frac{( x + 5 ) ^{2}}{144} = 1

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