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

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

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4x^2-y^2=16

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

(h, k) = (0, 0), a = 2, b = 4

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{2 ^{2}} - \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 4

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

(x - 1)^{2} + (y - 1)^{2} = 2

x^{2} + y^{2} = 5

\frac{x ^{2}}{36} - \frac{y ^{2}}{4} = 1

5 x^{2} + 30 x + 24 y = 51

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