Difference of roots for JEE

Formula

\((\alpha-\beta)^2=\dfrac{b^2-4ac}{a^2}=\dfrac{D}{a^2}\)

Variables: \(\alpha,\beta\) are roots, \(D=b^2-4ac\)

Conditions: \(a\neq 0\)

Comparing roots and checking equality/distinctness.