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

The solution to 2x^2-4y^2=4 is Hyperbola with (h,k)=(0,0),a=sqrt(2),b=1

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2x^2-4y^2=4

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

(h, k) = (0, 0), a = 2, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 1

4 x^{2} - y^{2} - 24 x - 6 y + 11 = 0

9 x^{2} - 8 y^{2} = 72

- 16 x^{2} + 25 y^{2} - 160 x - 150 y - 575 = 0

x^{2} - y^{2} = \frac{2}{3}

2 x^{2} = 2 y^{2} + 8

What is 2x^2-4y^2=4 ?
The solution to 2x^2-4y^2=4 is Hyperbola with (h,k)=(0,0),a=sqrt(2),b=1