What is the asymptotes of 9x^2-4y^2-90x-32y=-305 ?

The asymptotes of 9x^2-4y^2-90x-32y=-305 is y=(3(x-5))/2-4,\quad y=-(3(x-5))/2-4

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asymptotes of 9x^2-4y^2-90x-32y=-305

asymptotes

9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305

y = \frac{3 ( x - 5 )}{2} - 4, y = - \frac{3 ( x - 5 )}{2} - 4

Solution steps

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

Calculate Hyperbola properties

9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305 :

Up-down Hyperbola with

(h, k) = (5, - 4), a = 6, b = 4

y = \frac{6}{4} (x - 5) + (- 4), y = - \frac{6}{4} (x - 5) + (- 4)

Refine

y = \frac{3 ( x - 5 )}{2} - 4, y = - \frac{3 ( x - 5 )}{2} - 4

f (x) = x^{2} - 6 x + 2

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

\frac{( x + 3 ) ^{2}}{16} + \frac{( y - 5 ) ^{2}}{25} = 1

9 x^{2} + y^{2} = 9

y \geq x^{2}

What is the asymptotes of 9x^2-4y^2-90x-32y=-305 ?
The asymptotes of 9x^2-4y^2-90x-32y=-305 is y=(3(x-5))/2-4,\quad y=-(3(x-5))/2-4