What is -x^2-8x+y^2+6y-23=0 ?

The solution to -x^2-8x+y^2+6y-23=0 is Hyperbola with (h,k)=(-4,-3),a=4,b=4

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-x^2-8x+y^2+6y-23=0

- x^{2} - 8 x + y^{2} + 6 y - 23 = 0

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

Solution steps

- x^{2} - 8 x + y^{2} + 6 y - 23 = 0

Rewrite

- x^{2} - 8 x + y^{2} + 6 y - 23 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

4 x^{2} - y^{2} - 24 x - 8 y - 44 = 0

- 40 a^{2} + 28 b^{2} - 256 = 0

\frac{( x + 3 ) ^{2}}{4} - \frac{( y - 1 ) ^{2}}{16} = 1

x^{2} - y^{2} = 6

x^{2} - 9 y^{2} + 2 x + 36 y - 44 = 0

What is -x^2-8x+y^2+6y-23=0 ?
The solution to -x^2-8x+y^2+6y-23=0 is Hyperbola with (h,k)=(-4,-3),a=4,b=4