What is 16x^2-9y^2+96x+36y+252=0 ?

The solution to 16x^2-9y^2+96x+36y+252=0 is Hyperbola with (h,k)=(-3,2),a=4,b=3

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16x^2-9y^2+96x+36y+252=0

16 x^{2} - 9 y^{2} + 96 x + 36 y + 252 = 0

(h, k) = (- 3, 2), a = 4, b = 3

Solution steps

16 x^{2} - 9 y^{2} + 96 x + 36 y + 252 = 0

Rewrite

16 x^{2} - 9 y^{2} + 96 x + 36 y + 252 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 3, 2), a = 4, b = 3

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

4 x^{2} - 9 y^{2} - 16 x + 18 y - 11 = 0

4 x^{2} - 5 y^{2} + 30 y = 65

4244 - 98 y + 324 x - 49 y^{2} + 81 x^{2} = 0

- 16 x^{2} + 25 y^{2} + 64 x - 100 y - 364 = 0

What is 16x^2-9y^2+96x+36y+252=0 ?
The solution to 16x^2-9y^2+96x+36y+252=0 is Hyperbola with (h,k)=(-3,2),a=4,b=3