What is ((y^2)/4)-((x^2)/9)=1 ?

The solution to ((y^2)/4)-((x^2)/9)=1 is Hyperbola with (h,k)=(0,0),a=2,b=3

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((y^2)/4)-((x^2)/9)=1

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

(h, k) = (0, 0), a = 2, b = 3

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 3

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

4 x^{2} + 4 (0)^{2} - z^{2} = 4

\frac{( x - 3 ) ^{2}}{36} - \frac{( y - 1 ) ^{2}}{16} = 1

16 x^{2} - 25 y^{2} + 256 x + 150 y + 399 = 0

y^{2} - x^{2} + y - x - 14 = 0

What is ((y^2)/4)-((x^2)/9)=1 ?
The solution to ((y^2)/4)-((x^2)/9)=1 is Hyperbola with (h,k)=(0,0),a=2,b=3