What is ((y-4)/9)^2-((x-6)/5)^2=1 ?

The solution to ((y-4)/9)^2-((x-6)/5)^2=1 is Hyperbola with (h,k)=(6,4),a=9,b=5

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((y-4)/9)^2-((x-6)/5)^2=1

(\frac{y - 4}{9})^{2} - (\frac{x - 6}{5})^{2} = 1

(h, k) = (6, 4), a = 9, b = 5

Solution steps

(\frac{y - 4}{9})^{2} - (\frac{x - 6}{5})^{2} = 1

Rewrite

(\frac{y - 4}{9})^{2} - (\frac{x - 6}{5})^{2} = 1

in the form of a standard hyperbola equation

\frac{( y - 4 ) ^{2}}{9 ^{2}} - \frac{( x - 6 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (6, 4), a = 9, b = 5

3 y^{2} - 4 x^{2} - 8 x - 24 y - 40 = 0

4 x^{2} - 2 y^{2} + 36 y + 24 x = 36

9 x^{2} - 16 y^{2} - 108 x + 128 y = - 212

- x^{2} - 16 x + 4 y^{2} - 12 y + 16 = 0

9 x^{2} - 4 y^{2} - 18 x + 18 y + 10 = 0

What is ((y-4)/9)^2-((x-6)/5)^2=1 ?
The solution to ((y-4)/9)^2-((x-6)/5)^2=1 is Hyperbola with (h,k)=(6,4),a=9,b=5