CBSE Class 10 Quadratic Equations — Complete Guide

Quadratic Equations is one of the highest-weightage chapters (5-7 marks). The quadratic formula and nature of roots are tested every year without exception.

Quick Revision: Key Concepts

• Standard form: ax² + bx + c = 0, a ≠ 0
• Factorisation: Split middle term (product = ac, sum = b)
• Quadratic formula: x = [−b ± √(b² − 4ac)] / 2a
• Discriminant D = b² − 4ac: D > 0 (two roots), D = 0 (equal roots), D < 0 (no real roots)
• Word problems: Always check validity of both roots

Most Important Questions

1. Solve by factorisation and quadratic formula
2. Find k for which equation has equal/real/no real roots
3. Word problems: consecutive numbers, area, speed-distance-time
4. Nature of roots determination