What is x^2-y^2-6x+4y=-4 ?

The solution to x^2-y^2-6x+4y=-4 is Hyperbola with (h,k)=(3,2),a=1,b=1

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x^2-y^2-6x+4y=-4

x^{2} - y^{2} - 6 x + 4 y = - 4

(h, k) = (3, 2), a = 1, b = 1

Solution steps

x^{2} - y^{2} - 6 x + 4 y = - 4

Rewrite

x^{2} - y^{2} - 6 x + 4 y = - 4

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (3, 2), a = 1, b = 1

x^{(2)} - y^{(2)} - 2 x + 4 y - 6 = 0

\frac{x ^{2}}{16} - \frac{y ^{2}}{49} = 1

(x + 2)^{2} - (y + 2)^{2} = 4^{2}

4 x^{2} - 9 y^{2} - 11 = 0

4 x^{2} - \frac{1}{2} y^{2} + 8 x + 2 y - 2 = 0

What is x^2-y^2-6x+4y=-4 ?
The solution to x^2-y^2-6x+4y=-4 is Hyperbola with (h,k)=(3,2),a=1,b=1