What is 16x^2+96x-9y^2+54y+207=0 ?

The solution to 16x^2+96x-9y^2+54y+207=0 is Hyperbola with (h,k)=(-3,3),a=4,b=3

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16x^2+96x-9y^2+54y+207=0

16 x^{2} + 96 x - 9 y^{2} + 54 y + 207 = 0

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

Solution steps

16 x^{2} + 96 x - 9 y^{2} + 54 y + 207 = 0

Rewrite

16 x^{2} + 96 x - 9 y^{2} + 54 y + 207 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

4 x^{2} - 25 y^{2} + 16 x + 50 y - 109 = 0

- y^{2} + x^{2} + 26 y - 26 x = - 121

(y + 2)^{2} - 25 (x - 2)^{2} = 25

x, x^{2} - x + 1 - 2 k (x)^{2} + 4 k + 1 = 0

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

What is 16x^2+96x-9y^2+54y+207=0 ?
The solution to 16x^2+96x-9y^2+54y+207=0 is Hyperbola with (h,k)=(-3,3),a=4,b=3