If \alpha \beta are the roots of 3x²+2x-1=0 then 1/ \alpha +1/ \beta is

Question

asked Jan 18, 2022 110k views

1 Answer

VLAZ · Answer 1 · 2022-01-22T10:33:27+0000

Answer:

2

Explanation:

Given the quadratic equation

3x²+2x-1=0

Let tthe root be α and β

Sum of root α+β = -b/a

Product of root αβ = c/a

Given that;

a = 3, b = 2 and c = -1

α+β = -2/3

αβ = -1/3

To get 1/α + 1/β

Find the LCM

1/α + 1/β

= (α+β)/αβ

= (-2/3)/(-1/3)

= -2/3 * 3/-1

= 2

Hence the required answer is 2