The graph of y = (5x^2 - 9)/(3x^2 + 6x + 2) has vertical asymptotes at x = a and x = b. Find a + b.
+133 Okay, so the two asymptotes are -(3+√3)/3 & -(3-√3)/3
So, add both asymptotes.
\(-\frac{3+\sqrt{3}}{3}+\frac{3-\sqrt{3}}{3}\)\(=\frac{-\left(3+\sqrt{3}\right)+3-\sqrt{3}}{3}\)
Expand:
\(=\frac{-2\sqrt{3}}{3}\) \(=-\frac{2\sqrt{3}}{3}\)
The answer is \(=-\frac{2\sqrt{3}}{3} \)
Here is the graph:
