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{b}{a} (x - h) + k

Calculate Hyperbola properties

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

Right-left Hyperbola with

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

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}

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

36 x^{2} - 25 y^{2} = 900

x^{2} - y^{2} + 7 x + 8 y = 5

x^{2} - y^{2} - 2 x - 2 y - 4 = 0

4 y^{2} - 2 x^{2} + 24 y - 8 x - 9 = 0

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)