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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

y^{2} - 4 x^{2} - 16 x - 2 y - 19 = 0

9 x^{2} - 16 y^{2} + 144 = 0

36 (y + 4)^{2} - 16 (x - 3)^{2} = 576

(x - 2)^{2} - (y + 3)^{2} = 12

4 x^{2} - y^{2} + 12 x + 5 = 0

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