Answer:
x1 = 4/3, x2 = 1/2
Value to fill in the question mark: 3
Step-by-step explanation:
The vertical asymptotes occurs when the denominator of y are 0, so the value of y goes to infinity.
So, to find the asymptotes, we need to calculate:
[tex]6x^{2} - 11x + 4 = 0[/tex]
Using Bhaskara's formula. we have:
[tex]\Delta = (-11)^2 - 4*6*4 = 25[/tex]
[tex]\sqrt{\Delta} = 5[/tex]
[tex]x_1 = (11 + 5)/12 = 4/3[/tex]
[tex]x_2 = (11 - 5)/12 = 1/2[/tex]
So the value we need to fill in the question mark is 3
