What is (x^2)/(16)-(y^2)/(36)=1 ?

The solution to (x^2)/(16)-(y^2)/(36)=1 is Hyperbola with (h,k)=(0,0),a=4,b=6

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(x^2)/(16)-(y^2)/(36)=1

\frac{x ^{2}}{16} - \frac{y ^{2}}{36} = 1

(h, k) = (0, 0), a = 4, b = 6

Solution steps

\frac{x ^{2}}{16} - \frac{y ^{2}}{36} = 1

Rewrite

\frac{x ^{2}}{16} - \frac{y ^{2}}{36} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{4 ^{2}} - \frac{( y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 4, b = 6

x^{2} + y^{2} - 2 x + 6 y + 9 = 0

\frac{( x + 3 ) ^{2}}{16} + \frac{( y - 5 ) ^{2}}{25} = 1

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

y^{2} = 5 x

9 x^{2} - 4 y^{2} = 36

What is (x^2)/(16)-(y^2)/(36)=1 ?
The solution to (x^2)/(16)-(y^2)/(36)=1 is Hyperbola with (h,k)=(0,0),a=4,b=6