Nature of roots for real coefficients for JEE

Formula

\[\begin{cases}D>0&\Rightarrow \text{two distinct real roots}\\ D=0&\Rightarrow \text{two equal real roots}\\ D<0&\Rightarrow \text{two non-real complex conjugate roots}\end{cases}\]

Variables: \(D=b^2-4ac\)

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

Classifying roots in quadratic equations.