Quadratic Equations
Gujarat Board · Class 10 · Mathematics
Quick revision notes for Quadratic Equations — Gujarat Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Introduction to Quadratic Equations
- A quadratic equation is formed when a quadratic polynomial ax² + bx + c is equated to zero
- The standard form is ax² + bx + c = 0, where a, b, c are real numbers and a ≠ 0
- Quadratic equations arise in real-life situations like area problems, projectile motion, and optimization
Solution by Factorisation Method
- Factorisation involves splitting the middle term of the quadratic expression
- Find two numbers whose product equals ac and sum equals b
- Factorise the expression into two linear factors
Quadratic Formula
- Universal method that works for all quadratic equations
- Derived by completing the square method
- Provides exact values of roots
Nature of Roots (Discriminant)
- Discriminant Δ = b² - 4ac determines the nature of roots
- If Δ > 0: Two distinct real roots
- If Δ = 0: Two equal real roots (repeated roots)
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Quadratic Equations covers several key topics that are frequently asked in Gujarat Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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