What is 9y^2-16x^2-64x-54y-127=0 ?

The solution to 9y^2-16x^2-64x-54y-127=0 is Hyperbola with (h,k)=(-2,3),a=4,b=3

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9y^2-16x^2-64x-54y-127=0

9 y^{2} - 16 x^{2} - 64 x - 54 y - 127 = 0

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

Solution steps

9 y^{2} - 16 x^{2} - 64 x - 54 y - 127 = 0

Rewrite

9 y^{2} - 16 x^{2} - 64 x - 54 y - 127 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

y^{2} = x^{2} + 2 x - 15

x^{2} - y^{2} - 2 = 0

9 y^{2} - 4 x^{2} - 36 = 0

6 (x + \frac{1}{3})^{2} - 6 (y - \frac{1}{2})^{2} + 24 = 0

(y)^{2} + (5)^{2} = (6 + 2 + x)^{2}

What is 9y^2-16x^2-64x-54y-127=0 ?
The solution to 9y^2-16x^2-64x-54y-127=0 is Hyperbola with (h,k)=(-2,3),a=4,b=3