What is x^2-y^2-2x-10y-29=0 ?

The solution to x^2-y^2-2x-10y-29=0 is Hyperbola with (h,k)=(1,-5),a=sqrt(5),b=sqrt(5)

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x^2-y^2-2x-10y-29=0

x^{2} - y^{2} - 2 x - 10 y - 29 = 0

(h, k) = (1, - 5), a = 5, b = 5

Solution steps

x^{2} - y^{2} - 2 x - 10 y - 29 = 0

Rewrite

x^{2} - y^{2} - 2 x - 10 y - 29 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, - 5), a = 5, b = 5

9 (y + 3)^{2} - 1 (x + 2)^{2} = 15

\frac{y ^{2}}{64} - \frac{x ^{2}}{16} = 1

\frac{( x - 4 ) ^{2}}{16} - \frac{( y + 5 ) ^{2}}{25} = 1

4 x^{2} - 3 y^{2} + 5 y - 6 y + 2 x = 7

\frac{x ^{2}}{5} - \frac{y ^{2}}{5} = 1

What is x^2-y^2-2x-10y-29=0 ?
The solution to x^2-y^2-2x-10y-29=0 is Hyperbola with (h,k)=(1,-5),a=sqrt(5),b=sqrt(5)