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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

4 x^{2} - y^{2} - 16 = 0

16 x^{2} - 25 y^{2} - 32 x + 100 y - 484 = 0

x, h (x)^{2} = x^{2} + 5 x

\frac{( x - 6 ) ^{2}}{16} - \frac{( y - 4 ) ^{2}}{9} = 1

x^{2} - 3 y^{2} + 5 y = 7

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