What is the asymptotes of x^2-36y^2=36 ?

The asymptotes of x^2-36y^2=36 is y= x/6 ,\quad y=-x/6

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asymptotes of x^2-36y^2=36

asymptotes

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

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

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

(h, k) = (0, 0), a = 6, b = 1

y = \frac{1}{6} (x - 0) + 0, y = - \frac{1}{6} (x - 0) + 0

Refine

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

\frac{y ^{2}}{12} - \frac{x ^{2}}{16} = 1

y^{2} - x^{2} = 22

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

9 x^{2} - y^{2} - 54 x - 2 y + 71 = 0

4 y^{2} - 9 x^{2} + 16 y + 18 x = 29

What is the asymptotes of x^2-36y^2=36 ?
The asymptotes of x^2-36y^2=36 is y= x/6 ,\quad y=-x/6