What is (x-3)^2-(y-2)^2=3 ?

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

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(x-3)^2-(y-2)^2=3

(x - 3)^{2} - (y - 2)^{2} = 3

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

Solution steps

(x - 3)^{2} - (y - 2)^{2} = 3

Rewrite

(x - 3)^{2} - (y - 2)^{2} = 3

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

3 x^{2} - 5 y^{2} = 18

x^{2} - y^{2} - 6 x - 8 y + 9 = 0

x^{2} - 3 x + 2 y - y^{2} = 1

9 x^{2} - 6 y^{2} - 108 x + 128 y + 212 = 0

\frac{Y ^{2}}{1} - \frac{X ^{2}}{16} = 1

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