# An algebra problem by swapnil rajawat

Algebra Level 3

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

$\frac{ \alpha_c} { \beta_c } + \frac{ \beta_c } { \alpha_c}?$

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