What is the asymptotes of (x^2)/(36)-(y^2)/(64)=1 ?

The asymptotes of (x^2)/(36)-(y^2)/(64)=1 is y=(4x)/3 ,\quad y=-(4x)/3

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asymptotes of (x^2)/(36)-(y^2)/(64)=1

asymptotes

\frac{x ^{2}}{36} - \frac{y ^{2}}{64} = 1

y = \frac{4 x}{3}, y = - \frac{4 x}{3}

Solution steps

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

Calculate Hyperbola properties

\frac{x ^{2}}{36} - \frac{y ^{2}}{64} = 1 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 6, b = 8

y = \frac{8}{6} (x - 0) + 0, y = - \frac{8}{6} (x - 0) + 0

Refine

y = \frac{4 x}{3}, y = - \frac{4 x}{3}

x^{2} + y^{2} - 25 = 0

\frac{x ^{2}}{7} + \frac{y ^{2}}{16} = 1

\frac{x ^{2}}{16} + \frac{y ^{2}}{25} = 1

x^{2} - y^{2} = 14

\frac{x ^{2}}{4} + \frac{y ^{2}}{16} = 1

What is the asymptotes of (x^2)/(36)-(y^2)/(64)=1 ?
The asymptotes of (x^2)/(36)-(y^2)/(64)=1 is y=(4x)/3 ,\quad y=-(4x)/3