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Notes • MATH

Quadratic Equations

Last updated: Wed Dec 31 2025 00:00:00 GMT+0000 (Coordinated Universal Time)

Overview

A quadratic equation is an equation of degree 2.

Standard Form

ax² + bx + c = 0 (where a ≠ 0)

Methods (Basic)

  • Factorization
  • Quadratic formula
  • Completing the square (later)

Example (Factorization)

Solve: x² - 5x + 6 = 0

Factor: (x − 2)(x − 3) = 0
So, x = 2 or x = 3

Key Points

  • Solutions are also called roots.
  • Quadratic equation can have 2, 1, or 0 real roots.