What is 9x^2-16y^2-108x+128y=-212 ?

The solution to 9x^2-16y^2-108x+128y=-212 is Hyperbola with (h,k)=(6,4),a=3,b=4

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9x^2-16y^2-108x+128y=-212

9 x^{2} - 16 y^{2} - 108 x + 128 y = - 212

(h, k) = (6, 4), a = 3, b = 4

Solution steps

9 x^{2} - 16 y^{2} - 108 x + 128 y = - 212

Rewrite

9 x^{2} - 16 y^{2} - 108 x + 128 y = - 212

in the form of a standard hyperbola equation

\frac{( y - 4 ) ^{2}}{3 ^{2}} - \frac{( x - 6 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (6, 4), a = 3, b = 4

- x^{2} - 16 x + 4 y^{2} - 12 y + 16 = 0

9 x^{2} - 4 y^{2} - 18 x + 18 y + 10 = 0

\frac{( x - 3 ) ^{2}}{9} - \frac{( y - 2 ) ^{2}}{16} = 1

a^{2} - b^{2} = 2017

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

What is 9x^2-16y^2-108x+128y=-212 ?
The solution to 9x^2-16y^2-108x+128y=-212 is Hyperbola with (h,k)=(6,4),a=3,b=4