Let and be the solutions to \(5x^2 - 11x + 4 = 0. \) Find\(\frac{1}{a}+\frac{1}{b}\)
5x^2 -11x + 4 = 0
Note that 1/a + 1/b = (a + b) / (ab)
The sum of the roots = 11/5 = a + b
The product of the rooots = ab = 4/5
So
1/a + 1/b = 11/5 / 4/5 = 11 / 4
