I keep getting “Nature of roots” questions wrong in Quadratic Equations. What's the trap?
solving fully when you only need the nature of the roots.
The usual trap: solving fully when you only need the nature of the roots. How to avoid it: check D first — it often answers the question directly. Go back to the definition — the sign of the discriminant decides whether roots are real, equal, or complex.
Key point
Nature of roots
Common mistake
solving fully when you only need the nature of the roots.
Memory tip
check D first — it often answers the question directly.
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