What is the asymptotes of 25x^2-9y^2=225 ?

The asymptotes of 25x^2-9y^2=225 is y=(5x)/3 ,\quad y=-(5x)/3

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asymptotes of 25x^2-9y^2=225

asymptotes

25 x^{2} - 9 y^{2} = 225

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

Solution steps

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

Calculate Hyperbola properties

25 x^{2} - 9 y^{2} = 225 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 3, b = 5

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

Refine

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

\frac{y ^{2}}{36} - \frac{x ^{2}}{16} = 1

x^{2} - y^{2} - 4 x - 2 y - 13 = 0

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

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

- x^{2} + y^{2} = 1

What is the asymptotes of 25x^2-9y^2=225 ?
The asymptotes of 25x^2-9y^2=225 is y=(5x)/3 ,\quad y=-(5x)/3