What is x^2-y^2-1=3x-3y ?

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

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x^2-y^2-1=3x-3y

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

(h, k) = (\frac{3}{2}, \frac{3}{2}), a = 1, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (\frac{3}{2}, \frac{3}{2}), a = 1, b = 1

3 x^{2} - 3 y^{2} + 2 x + 14 y + 24 = 0

y^{2} = 4 x^{2} - 15

- 25 x^{2} + 9 y^{2} + 200 x - 72 y - 481 = 0

\frac{( x + 5 ) ^{2}}{4} - \frac{( y - 2 ) ^{2}}{9} = 1

0.5 = \frac{2 x ^{2} - y ^{2}}{10}

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