What is 9y^2-16x^2-36y+32x-124=0 ?

The solution to 9y^2-16x^2-36y+32x-124=0 is Hyperbola with (h,k)=(1,2),a=4,b=3

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9y^2-16x^2-36y+32x-124=0

9 y^{2} - 16 x^{2} - 36 y + 32 x - 124 = 0

(h, k) = (1, 2), a = 4, b = 3

Solution steps

9 y^{2} - 16 x^{2} - 36 y + 32 x - 124 = 0

Rewrite

9 y^{2} - 16 x^{2} - 36 y + 32 x - 124 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, 2), a = 4, b = 3

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

- 25 x^{2} + 100 y^{2} + 10 x - 80 y = - 95

25 x^{2} - 64 (y - 6)^{2} = 1600

\frac{( x + 4 ) ^{2}}{9} - \frac{( y - 1 ) ^{2}}{16} = 1

x^{2} - 4 y^{2} \geq 4

What is 9y^2-16x^2-36y+32x-124=0 ?
The solution to 9y^2-16x^2-36y+32x-124=0 is Hyperbola with (h,k)=(1,2),a=4,b=3