What is x^2-8x-y^2-10y-36=0 ?

The solution to x^2-8x-y^2-10y-36=0 is Hyperbola with (h,k)=(4,-5),a=3sqrt(3),b=3sqrt(3)

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x^2-8x-y^2-10y-36=0

x^{2} - 8 x - y^{2} - 10 y - 36 = 0

(h, k) = (4, - 5), a = 33, b = 33

Solution steps

x^{2} - 8 x - y^{2} - 10 y - 36 = 0

Rewrite

x^{2} - 8 x - y^{2} - 10 y - 36 = 0

in the form of a standard hyperbola equation

\frac{( x - 4 ) ^{2}}{( 3 3 ) ^{2}} - \frac{( y - ( - 5 ) ) ^{2}}{( 3 3 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (4, - 5), a = 33, b = 33

x^{2} - 2 y^{2} + 3 x + 4 y = 2

z^{2} - y^{2} = 1

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

- 2 x^{2} + 5 y^{2} + 3 x + 8 y + 4 = 0

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

What is x^2-8x-y^2-10y-36=0 ?
The solution to x^2-8x-y^2-10y-36=0 is Hyperbola with (h,k)=(4,-5),a=3sqrt(3),b=3sqrt(3)