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Let and be the solutions to
$5x^2 - 11x + 4 = 0.$ Find $\frac{1}{a}+\frac{1}{b}$

Guest Apr 24, 2022

CPhill · Answer 1 · 2022-04-24T02:08:14

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