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

The solution to 4y^2-4x^2+1^2=4 is Hyperbola with (h,k)=(0,0),a=(sqrt(3))/2 ,b=(sqrt(3))/2

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4y^2-4x^2+1^2=4

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

(h, k) = (0, 0), a = \frac{3}{2}, b = \frac{3}{2}

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( \frac{3}{2} ) ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{3}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{3}{2}, b = \frac{3}{2}

8 x + 2 y^{2} = 3 x^{2} + 3 y

x^{2} - 3 y^{2} - 8 x - 18 y = 14

[f (x)]^{2} = 4 x^{2} - x + 3

2 x^{2} - 3 y^{2} - 6 = 0

\frac{( x - 6 ) ^{2}}{48} - (y - 2)^{2} = 1

What is 4y^2-4x^2+1^2=4 ?
The solution to 4y^2-4x^2+1^2=4 is Hyperbola with (h,k)=(0,0),a=(sqrt(3))/2 ,b=(sqrt(3))/2