For all negative reals \(c\), let \(\alpha_c \) and \(\beta_c \) be the roots of the equation \( 2x^2 + 6x + c = 0 \). What is the smallest integer that must be greater than

\[ \frac{ \alpha_c} { \beta_c } + \frac{ \beta_c } { \alpha_c}? \]

×

Problem Loading...

Note Loading...

Set Loading...