If \alpha and \beta are the roots of the equation 3x2 + 5x - 2 = 0, find the value of 1/\alpha + 1/\beta
A
\(\frac{-5}{3}\)
B
\(\frac{-2}{3}\)
C
\(\frac{1}{2}\)
D
\(\frac{5}{2}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
1/\alpha + 1/\beta = \beta+\alpha/\alpha\beta
3x2 + 5x - 2 = 0
x2 + 5x/3 - 2/3 = 0
\alpha\beta = -2/3
\beta+\alpha = -5/3
Thus; \beta+\alpha/\alpha\beta = -2/3 -2/3 = -5/2
Source: Myschool Past Questions Archive (Record #46365)