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

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

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1/36 x^2-1/4 y^2=1

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

(h, k) = (0, 0), a = 6, b = 2

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = 2

\frac{x ^{2}}{32} - \frac{y ^{2}}{25} = 1

yy = x^{2} - 9

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

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

50 y^{2} - 25 x^{2} + 100 x - 100 y - 75 = 0

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