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

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

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

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

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

Solution steps

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

Rewrite

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

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

25 x^{2} + 56476 x - 25 y^{2} - 3 y = 48838

x^{2} - y^{2} < 72

(\frac{y ^{2}}{16}) - (\frac{x ^{2}}{4}) = 1

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

27 x^{2} - 36 y^{2} - 216 x - 72 y + 225 = 0

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