What is the asymptotes of 9x^2-25y^2-72x+369=0 ?

The asymptotes of 9x^2-25y^2-72x+369=0 is y= 3/5 (x-4),\quad y=-3/5 (x-4)

Popular >

asymptotes of 9x^2-25y^2-72x+369=0

asymptotes

9 x^{2} - 25 y^{2} - 72 x + 369 = 0

y = \frac{3}{5} (x - 4), y = - \frac{3}{5} (x - 4)

Solution steps

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

Calculate Hyperbola properties

9 x^{2} - 25 y^{2} - 72 x + 369 = 0 :

Up-down Hyperbola with

(h, k) = (4, 0), a = 3, b = 5

y = \frac{3}{5} (x - 4) + 0, y = - \frac{3}{5} (x - 4) + 0

Refine

y = \frac{3}{5} (x - 4), y = - \frac{3}{5} (x - 4)

6 x^{2} - \frac{2}{3} y^{2} = 4

4 (x - 3)^{2} - 9 (y - 2)^{2} = 36

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

\frac{( x + 1 ) ^{2}}{3} - \frac{( y - 1 ) ^{2}}{5} = 1

9 x^{2} - 4 y^{2} + 72 x + 180 = 0

What is the asymptotes of 9x^2-25y^2-72x+369=0 ?
The asymptotes of 9x^2-25y^2-72x+369=0 is y= 3/5 (x-4),\quad y=-3/5 (x-4)