What is the asymptotes of x^2-4y^2=36 ?

The asymptotes of x^2-4y^2=36 is y= x/2 ,\quad y=-x/2

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asymptotes of x^2-4y^2=36

asymptotes

y = \frac{x}{2}, y = - \frac{x}{2}

Solution steps

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

Calculate Hyperbola properties

x^{2} - 4 y^{2} = 36 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 6, b = 3

y = \frac{3}{6} (x - 0) + 0, y = - \frac{3}{6} (x - 0) + 0

Refine

y = \frac{x}{2}, y = - \frac{x}{2}

What is the asymptotes of x^2-4y^2=36 ?
The asymptotes of x^2-4y^2=36 is y= x/2 ,\quad y=-x/2