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

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

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36y^2-x^2=9

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( y - 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

2 x + 5 y = \frac{21}{2 x - 5 y - 11}

2 y^{2} - x^{2} = 28

\frac{( x - 4 ) ^{2}}{9} - \frac{( Y ( x ) + 1 ) ^{2}}{4} = 1

\frac{( x - 2 ) ^{2}}{16} - \frac{( y - 3 ) ^{2}}{9} = 1

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

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