Discussion

Explanation:

Given that α and β are the roots of the equation 2x² - 3x - 5 = 0.

∴ α + β = $-\frac{-3}{2}$ = $\frac{3}{2}$ and α × β = ${\frac{-5}{2}}_{}$

Now, $\frac{1}{\alpha }$+ $\frac{1}{\beta }$ = $\frac{\alpha +\beta }{\alpha \beta }$ = $\frac{3/2}{-5/2}$ = $-\frac{3}{5}$

Hence, option (a).

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