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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

x^{2} - y^{2} - 100 = 0

y^{2} = 5 x^{2} - 7 x + 2

\frac{( x - 2 ) ^{2}}{1} - \frac{( y + 3 ) ^{2}}{9} = 1

\frac{( x - 3 ) ^{2}}{49} - \frac{( y + 2 ) ^{2}}{16} = 1

3 x^{2} - y^{2} - 2 x + 39 = 0

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