What is (9y^2)/(36)-(4x^2)/(36)=1 ?

The solution to (9y^2)/(36)-(4x^2)/(36)=1 is Hyperbola with (h,k)=(0,0),a=2,b=3

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(9y^2)/(36)-(4x^2)/(36)=1

\frac{9 y ^{2}}{36} - \frac{4 x ^{2}}{36} = 1

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

Solution steps

\frac{9 y ^{2}}{36} - \frac{4 x ^{2}}{36} = 1

Rewrite

\frac{9 y ^{2}}{36} - \frac{4 x ^{2}}{36} = 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{x ^{2}}{3} - \frac{y ^{2}}{5} = 1

x^{2} + (5 - 6) y^{2} = 1

x^{2} + 11 = y^{2} + 4 x - 2 y

\frac{( x - 1 ) ^{2}}{4} - \frac{y ^{2}}{5} = 1

8^{2} + (x - 2)^{2} = y^{2}

What is (9y^2)/(36)-(4x^2)/(36)=1 ?
The solution to (9y^2)/(36)-(4x^2)/(36)=1 is Hyperbola with (h,k)=(0,0),a=2,b=3