Quadratic Equations

Board: JEE Class: JEE

Chapter Overview

Standard quadratic ax²+bx+c=0. Discriminant and nature of roots. Sum and product of roots, symmetric functions. Location of roots (conditions for roots in intervals). Common roots. Polynomial equations higher degree, relationship between roots and coefficients.

Topics Covered

Standard Quadratic
Discriminant Analysis
Sum and Product of Roots
Symmetric Functions
Location of Roots
Common Roots
Theory of Equations

Key Formulas

x = (-b +/- √D)/2a

D = b² - 4ac

Sum = -b/a, Product = c/a

Real-World Applications

Applications: JEE problem solving, physics (kinematics), engineering design.

Study Tips

Tip: Memorize location of roots conditions

Tip: Practice symmetric function problems

Tip: Learn common roots theorems