What is y/(4x^2-9y^2)=36 ?

The solution to y/(4x^2-9y^2)=36 is Hyperbola with (h,k)=(0,-1/648),a= 1/648 ,b= 1/432

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y/(4x^2-9y^2)=36

\frac{y}{4 x ^{2} - 9 y ^{2}} = 36

(h, k) = (0, - \frac{1}{648}), a = \frac{1}{648}, b = \frac{1}{432}

Solution steps

\frac{y}{4 x ^{2} - 9 y ^{2}} = 36

Rewrite

\frac{y}{4 x ^{2} - 9 y ^{2}} = 36

in the form of a standard hyperbola equation

\frac{( y - ( - \frac{1}{648} ) ) ^{2}}{( \frac{1}{648} ) ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{1}{432} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, - \frac{1}{648}), a = \frac{1}{648}, b = \frac{1}{432}

\frac{( x - 7 ) ^{2}}{16} - \frac{y ^{2}}{9} = 1

16 x^{2} - 32 x = 9 y^{2} + 144 y - 16

y^{(2)} - x^{(2)} = (\frac{1}{49})

9 x^{2} - 4 y^{2} - 72 x + 8 y + 17 = 0

a^{2} - b^{2} = 300

What is y/(4x^2-9y^2)=36 ?
The solution to y/(4x^2-9y^2)=36 is Hyperbola with (h,k)=(0,-1/648),a= 1/648 ,b= 1/432