What is (x^2)/4-(y^2)/(16)=1 ?

The solution to (x^2)/4-(y^2)/(16)=1 is Hyperbola with (h,k)=(0,0),a=2,b=4

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(x^2)/4-(y^2)/(16)=1

\frac{x ^{2}}{4} - \frac{y ^{2}}{16} = 1

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

Solution steps

\frac{x ^{2}}{4} - \frac{y ^{2}}{16} = 1

Rewrite

\frac{x ^{2}}{4} - \frac{y ^{2}}{16} = 1

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

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

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

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

\frac{x ^{2}}{64} + \frac{y ^{2}}{36} = 1

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

What is (x^2)/4-(y^2)/(16)=1 ?
The solution to (x^2)/4-(y^2)/(16)=1 is Hyperbola with (h,k)=(0,0),a=2,b=4