What is the asymptotes of 25y^2-81x^2=2025 ?

The asymptotes of 25y^2-81x^2=2025 is y=(9x)/5 ,\quad y=-(9x)/5

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asymptotes of 25y^2-81x^2=2025

asymptotes

25 y^{2} - 81 x^{2} = 2025

y = \frac{9 x}{5}, y = - \frac{9 x}{5}

Solution steps

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

Calculate Hyperbola properties

25 y^{2} - 81 x^{2} = 2025 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 9, b = 5

y = \frac{9}{5} (x - 0) + 0, y = - \frac{9}{5} (x - 0) + 0

Refine

y = \frac{9 x}{5}, y = - \frac{9 x}{5}

6 x^{2} - 5 y^{2} - 24 x + 10 y - 11 = 0

x^{2} - 4 y^{2} + 2 x + 8 y - 7 = 0

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

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

y^{2} - x^{2} = 8

What is the asymptotes of 25y^2-81x^2=2025 ?
The asymptotes of 25y^2-81x^2=2025 is y=(9x)/5 ,\quad y=-(9x)/5