What is the asymptotes of (x^2)/5-(y^2)/(12)=1 ?

The asymptotes of (x^2)/5-(y^2)/(12)=1 is y=(2sqrt(3)x)/(sqrt(5)),\quad y=-(2sqrt(3)x)/(sqrt(5))

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asymptotes of (x^2)/5-(y^2)/(12)=1

asymptotes

\frac{x ^{2}}{5} - \frac{y ^{2}}{12} = 1

y = \frac{2 3 x}{5}, y = - \frac{2 3 x}{5}

Solution steps

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

Calculate Hyperbola properties

\frac{x ^{2}}{5} - \frac{y ^{2}}{12} = 1 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 5, b = 23

y = \frac{2 3}{5} (x - 0) + 0, y = - \frac{2 3}{5} (x - 0) + 0

Refine

y = \frac{2 3 x}{5}, y = - \frac{2 3 x}{5}

9 x^{2} = 4 y^{2} - 12

- \frac{x ^{2}}{16} + \frac{y ^{2}}{9} = 1

4 x^{2} - y^{2} + 16 x + 6 y = 9

9 x^{2} - 25 y^{2} - 72 x + 369 = 0

6 x^{2} - \frac{2}{3} y^{2} = 4

What is the asymptotes of (x^2)/5-(y^2)/(12)=1 ?
The asymptotes of (x^2)/5-(y^2)/(12)=1 is y=(2sqrt(3)x)/(sqrt(5)),\quad y=-(2sqrt(3)x)/(sqrt(5))