Condition for both roots negative for JEE

Formula

\(\alpha,\beta<0\iff D\ge 0,\ -\dfrac{b}{a}<0,\ \dfrac{c}{a}>0\)

Variables: \(\alpha,\beta\) are roots

Conditions: \(a,b,c\in\mathbb R,\ a\neq 0\)

Determining sign of roots.