What is 9x^2-36x-25y^2=-261 ?

The solution to 9x^2-36x-25y^2=-261 is Hyperbola with (h,k)=(2,0),a=3,b=5

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9x^2-36x-25y^2=-261

9 x^{2} - 36 x - 25 y^{2} = - 261

(h, k) = (2, 0), a = 3, b = 5

Solution steps

9 x^{2} - 36 x - 25 y^{2} = - 261

Rewrite

9 x^{2} - 36 x - 25 y^{2} = - 261

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{3 ^{2}} - \frac{( x - 2 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, 0), a = 3, b = 5

3 x^{2} - 6 x - y^{2} - 4 y - 4 = 0

4 y^{2} - 4 x^{2} + 1^{2} = 4

8 x + 2 y^{2} = 3 x^{2} + 3 y

x^{2} - 3 y^{2} - 8 x - 18 y = 14

[f (x)]^{2} = 4 x^{2} - x + 3

What is 9x^2-36x-25y^2=-261 ?
The solution to 9x^2-36x-25y^2=-261 is Hyperbola with (h,k)=(2,0),a=3,b=5