What is the asymptotes of-(x^2)/(144)+(y^2)/(25)=1 ?

The asymptotes of-(x^2)/(144)+(y^2)/(25)=1 is y=(5x)/(12),\quad y=-(5x)/(12)

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asymptotes of-(x^2)/(144)+(y^2)/(25)=1

asymptotes

- \frac{x ^{2}}{144} + \frac{y ^{2}}{25} = 1

y = \frac{5 x}{12}, y = - \frac{5 x}{12}

Solution steps

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

Calculate Hyperbola properties

- \frac{x ^{2}}{144} + \frac{y ^{2}}{25} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 5, b = 12

y = \frac{5}{12} (x - 0) + 0, y = - \frac{5}{12} (x - 0) + 0

Refine

y = \frac{5 x}{12}, y = - \frac{5 x}{12}

10 y^{2} - 49 x^{2} = 490

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

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

x^{2} - 2 y^{2} + 3 x + 4 y = 2

\frac{1}{4} (y + 5)^{2} - \frac{1}{16} (x + 1)^{2} = 1

What is the asymptotes of-(x^2)/(144)+(y^2)/(25)=1 ?
The asymptotes of-(x^2)/(144)+(y^2)/(25)=1 is y=(5x)/(12),\quad y=-(5x)/(12)