What is 1/144 x^2-1/196 y^2=1 ?

The solution to 1/144 x^2-1/196 y^2=1 is Hyperbola with (h,k)=(0,0),a=12,b=14

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1/144 x^2-1/196 y^2=1

\frac{1}{144} x^{2} - \frac{1}{196} y^{2} = 1

(h, k) = (0, 0), a = 12, b = 14

Solution steps

\frac{1}{144} x^{2} - \frac{1}{196} y^{2} = 1

Rewrite

\frac{1}{144} x^{2} - \frac{1}{196} y^{2} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 12, b = 14

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

81 x^{2} - 64 y^{2} + 1134 x - 640 y - 2815 = 0

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

2500 x^{2} - 640 x + 41 = y^{2}

5 x^{2} - 3 y^{2} + 31 x + 23 y + 24 = 0

What is 1/144 x^2-1/196 y^2=1 ?
The solution to 1/144 x^2-1/196 y^2=1 is Hyperbola with (h,k)=(0,0),a=12,b=14