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

The asymptotes of 1/144 x^2-1/196 y^2=1 is y=(7x)/6 ,\quad y=-(7x)/6

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

asymptotes

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

y = \frac{7 x}{6}, y = - \frac{7 x}{6}

Solution steps

y = \pm \frac{b}{a} (x - h) + k

Calculate Hyperbola properties

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

Right-left Hyperbola with

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

y = \frac{14}{12} (x - 0) + 0, y = - \frac{14}{12} (x - 0) + 0

Refine

y = \frac{7 x}{6}, y = - \frac{7 x}{6}

9 x^{2} - 36 y^{2} = 324

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

4 x^{2} - 8 x - 9 y^{2} - 72 y + 112 = 0

9 x^{2} - 25 y^{2} = 225

\frac{x ^{2}}{9} - \frac{y ^{2}}{25} = 1

What is the asymptotes of 1/144 x^2-1/196 y^2=1 ?
The asymptotes of 1/144 x^2-1/196 y^2=1 is y=(7x)/6 ,\quad y=-(7x)/6