What is 4x^2-16y^2=64 ?

The solution to 4x^2-16y^2=64 is Hyperbola with (h,k)=(0,0),a=4,b=2

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4x^2-16y^2=64

4 x^{2} - 16 y^{2} = 64

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

Solution steps

4 x^{2} - 16 y^{2} = 64

Rewrite

4 x^{2} - 16 y^{2} = 64

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

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

x^{2} - 4 y^{2} - 4 \geq 0

9 x^{2} - 4 y^{2} - 72 x + 8 y + 176 = 0

\frac{( y - k ) ^{2}}{a ^{2}} - \frac{( x - h ) ^{2}}{b ^{2}} = 1

x, (x - 2)^{2} + (x - 3)^{2} = r (x)^{2}

What is 4x^2-16y^2=64 ?
The solution to 4x^2-16y^2=64 is Hyperbola with (h,k)=(0,0),a=4,b=2