Answer: To find the vertical asymptotes of the equation x²y - 9y - 4x = 0, we need to check where the denominator of the fraction y is equal to zero. To do this, we can solve for y:
x²y - 9y - 4x = 0
y(x² - 9) = 4x
y = 4x / (x² - 9)
The denominator of the fraction y is x² - 9, which is equal to zero when x = 3 or x = -3. These are the vertical asymptotes of the equation.
Therefore, the vertical asymptotes of the equation x²y - 9y - 4x = 0 are x = 3 and x = -3.
Explanation: