Distance between roots (root separation) (Absolute gap between roots equals square root of discriminant over)
jee-mainjee-advanced
Absolute gap between roots equals square root of discriminant over absolute a
What each symbol means
| Symbol | What it stands for |
|---|---|
| D | Discriminant |
| a | Leading coefficient |
When to use this
Real distinct roots; if D<0 in ℝ, use |α−β| in ℂ as 2√|D|/|a| for magnitude — JEE usually real.