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

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

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

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

(h, k) = (0, 0), a = 22, b = 2

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 22, b = 2

x^{2} + 4 x + 4 - 9 y^{2} = 5

\frac{( y + 2 ) ^{2}}{25} - \frac{( x - 1 ) ^{2}}{9} = 1

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

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

x^{2} - y^{2} + 4 x - 2 y - 5 = 0

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