What is x^2-y^2-2x-4y=-4 ?

The solution to x^2-y^2-2x-4y=-4 is Hyperbola with (h,k)=(1,-2),a=sqrt(7),b=sqrt(7)

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x^2-y^2-2x-4y=-4

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

(h, k) = (1, - 2), a = 7, b = 7

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( y - ( - 2 ) ) ^{2}}{( 7 ) ^{2}} - \frac{( x - 1 ) ^{2}}{( 7 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, - 2), a = 7, b = 7

- 25 x^{2} + 4 y^{2} = 100

\frac{( y + 10 ) ^{2}}{36} - \frac{( x - 3 ) ^{2}}{100} = 1

33 (x - 2)^{2} - 16 (y - 5)^{2} = 528

4 x^{2} - 5 y^{2} - x + 16 y - 1 = 0

9 x^{2} - 16 y^{2} + 54 x - 32 y - 79 = 0

What is x^2-y^2-2x-4y=-4 ?
The solution to x^2-y^2-2x-4y=-4 is Hyperbola with (h,k)=(1,-2),a=sqrt(7),b=sqrt(7)