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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

9 x^{2} - 16 y^{2} - 18 x + 32 y - 151 = 0

\frac{( y + 3 ) ^{2}}{4} - \frac{( x - 2 ) ^{2}}{9} = 1

8 x^{2} - 5 y^{2} + 10 x + 4 = 0

2 X^{2} - 5 Y^{2} = 52

36 x^{2} - 4 y^{2} - 144 = 0

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