What is 4x^2-4y^2=16 ?

The solution to 4x^2-4y^2=16 is Hyperbola with (h,k)=(0,0),a=2,b=2

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4x^2-4y^2=16

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

2 x^{2} - 3 y^{2} = 30

\frac{20}{x + y} + \frac{12}{x - y} = 5

- x^{2} + 9 y^{2} = 9

(x + i y)^{2} + (x - i y)^{2} = 2

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

What is 4x^2-4y^2=16 ?
The solution to 4x^2-4y^2=16 is Hyperbola with (h,k)=(0,0),a=2,b=2