What is the asymptotes of 64x^2-100y^2=6400 ?

The asymptotes of 64x^2-100y^2=6400 is y=(4x)/5 ,\quad y=-(4x)/5

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asymptotes of 64x^2-100y^2=6400

asymptotes

64 x^{2} - 100 y^{2} = 6400

y = \frac{4 x}{5}, y = - \frac{4 x}{5}

Solution steps

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

Calculate Hyperbola properties

64 x^{2} - 100 y^{2} = 6400 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 10, b = 8

y = \frac{8}{10} (x - 0) + 0, y = - \frac{8}{10} (x - 0) + 0

Refine

y = \frac{4 x}{5}, y = - \frac{4 x}{5}

\frac{x ^{2}}{3} - \frac{y ^{2}}{1.5} = 1

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

4 x^{2} - 9 y^{2} - 16 x + 54 y - 101 = 0

\frac{( x - 1 ) ^{2}}{9} - \frac{( y + 3 ) ^{2}}{4} = 1

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

What is the asymptotes of 64x^2-100y^2=6400 ?
The asymptotes of 64x^2-100y^2=6400 is y=(4x)/5 ,\quad y=-(4x)/5