Access the official NCERT Class 10 Mathematics textbook for Chapter 4 – Quadratic Equations PDF. This chapter focuses on second-degree equations of the form ax² + bx + c = 0 (where a ≠ 0), teaches methods to find their roots—including factorisation, completing the square, and the quadratic formula (x = [–b ± √(b²–4ac)]/(2a))—and uses the discriminant to determine the nature of roots. Real-life examples and algebraic manipulations form the core of this foundational chapter.
Chapter Highlights:
- Definition of quadratic equation: ax² + bx + c = 0 (a ≠ 0)
- Formation of quadratic equations from real-world problems
- Methods to find roots:
- Factorisation
- Completing the square
- Quadratic formula
- Discriminant (D = b² – 4ac) & nature of roots (real, equal, or complex)
- Relationship between roots and coefficients (α + β = –b/a, αβ = c/a)
- Graphical representation: Parabola and x-intercepts as roots
- Practical applications in geometry, physics, and daily life