What is (x^2)/5-(y^2)/9 =1 ?

The solution to (x^2)/5-(y^2)/9 =1 is Hyperbola with (h,k)=(0,0),a=sqrt(5),b=3

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(x^2)/5-(y^2)/9 =1

\frac{x ^{2}}{5} - \frac{y ^{2}}{9} = 1

(h, k) = (0, 0), a = 5, b = 3

Solution steps

\frac{x ^{2}}{5} - \frac{y ^{2}}{9} = 1

Rewrite

\frac{x ^{2}}{5} - \frac{y ^{2}}{9} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 5 ) ^{2}} - \frac{( y - 0 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 3

\frac{x}{y} - \frac{y}{x} = \frac{1}{y}

(x - y) (x + y) = 2022

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

\frac{x ^{2}}{7} - \frac{7 y ^{2}}{42} = 1

\frac{( x - 3 ) ^{2}}{64} - \frac{( y + 2 ) ^{2}}{16} = 1

What is (x^2)/5-(y^2)/9 =1 ?
The solution to (x^2)/5-(y^2)/9 =1 is Hyperbola with (h,k)=(0,0),a=sqrt(5),b=3