What is 4y^2-2x^2=1 ?

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

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4y^2-2x^2=1

4 y^{2} - 2 x^{2} = 1

(h, k) = (0, 0), a = \frac{1}{2}, b = \frac{1}{2}

Solution steps

4 y^{2} - 2 x^{2} = 1

Rewrite

4 y^{2} - 2 x^{2} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{2}, b = \frac{1}{2}

\frac{x ^{2}}{1} - \frac{y ^{2}}{9} = 1

\frac{( x - 6 ) ^{2}}{36} - \frac{( y + 1 ) ^{2}}{25} = 1

x, (x - 0.5)^{2} + (x + 0.5)^{2} = r (x)^{2}

25 x^{2} - 16 y^{2} = 1

\frac{( x - 3 ) ^{2}}{6} - \frac{( y - 2 ) ^{2}}{2} = 1

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