Let a and b be the solutions to 5x^2 - 11x + 4 = 4x^2 + 11x + 13. Find \frac{1}{a} + \frac{1}{b}.
1/a + 1/b = (a + b) / (ab)
x^2 - 22x - 9 = 0
Sum of roots = a + b = - (-22) / 1 = 22
Product of roots = ab = -9/1 = -9
So
(a + b) / (ab) = 22 / -9
What cphil said lol