What is 9x^2-4y^2-90x+32y-163=0 ?

The solution to 9x^2-4y^2-90x+32y-163=0 is Hyperbola with (h,k)=(5,4),a=6,b=9

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9x^2-4y^2-90x+32y-163=0

9 x^{2} - 4 y^{2} - 90 x + 32 y - 163 = 0

(h, k) = (5, 4), a = 6, b = 9

Solution steps

9 x^{2} - 4 y^{2} - 90 x + 32 y - 163 = 0

Rewrite

9 x^{2} - 4 y^{2} - 90 x + 32 y - 163 = 0

in the form of a standard hyperbola equation

\frac{( x - 5 ) ^{2}}{6 ^{2}} - \frac{( y - 4 ) ^{2}}{9 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (5, 4), a = 6, b = 9

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

- 36 x^{2} + 64 y^{2} + 288 x + 128 y - 2816 = 0

\frac{y ^{2}}{1} - \frac{x ^{2}}{1} = 1

x^{2} = 2 (y^{2} - 0.01)

x^{2} - 2 x - 4 y^{2} + 24 y - 31 = 0

What is 9x^2-4y^2-90x+32y-163=0 ?
The solution to 9x^2-4y^2-90x+32y-163=0 is Hyperbola with (h,k)=(5,4),a=6,b=9