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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

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

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

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

16 x^{2} - y^{2} = 144

3 y^{2} - 4 x^{2} - 12 = 0

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