What is x^2-4x-2y^2=0 ?

The solution to x^2-4x-2y^2=0 is Hyperbola with (h,k)=(2,0),a=2,b=sqrt(2)

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x^2-4x-2y^2=0

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

(h, k) = (2, 0), a = 2, b = 2

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( x - 2 ) ^{2}}{2 ^{2}} - \frac{( y - 0 ) ^{2}}{( 2 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, 0), a = 2, b = 2

3 y^{2} - x^{2} + 18 y - 4 x + 20 = 0

9 y^{2} - x^{2} = 81

\frac{( y + 2 ) ^{2}}{3 ^{2}} - \frac{( x - 5 ) ^{2}}{5 ^{2}} = 1

x^{2} - y^{2} + 4 x + 16 y - 69 = 0

- \frac{36 ( x - 3 ) ^{2}}{1} + \frac{25 ( y - 4 ) ^{2}}{1} = 900

What is x^2-4x-2y^2=0 ?
The solution to x^2-4x-2y^2=0 is Hyperbola with (h,k)=(2,0),a=2,b=sqrt(2)