If α and β are two real numbers such that \(\alpha + \beta = - \frac{q}{p}\) and \(\alpha \beta = \frac{r}{p},\) where 1 < p < q < r, then which one of the following is the greatest?

\(\frac{{\alpha \beta }}{{\alpha + \beta }}\)

\(\frac{1}{{\alpha + \beta }}\)

\(\frac{1}{\alpha } + \frac{1}{\beta }\)

\(- \frac{1}{{\alpha \beta }}\)

If α and β are two real numbers such that \(\alpha + \beta = - \frac

1.	If α and β are two real numbers such that \(\alpha + \beta = - \frac{q}{p}\) and \(\alpha \beta = \frac{r}{p},\) where 1 < p < q < r, then which one of the following is the greatest?
A.	\(\frac{1}{{\alpha + \beta }}\)
B.	\(\frac{1}{\alpha } + \frac{1}{\beta }\)
C.	\(- \frac{1}{{\alpha \beta }}\)
D.	\(\frac{{\alpha \beta }}{{\alpha + \beta }}\)
Answer» D. \(\frac{{\alpha \beta }}{{\alpha + \beta }}\)