data/knowledge_base/quadratic_equations.md

Quadratic Equations

Standard Form

ax² + bx + c = 0, a ≠ 0

Quadratic Formula

x = [−b ± √(b² − 4ac)] / 2a

Discriminant (D)

D = b² − 4ac

• D > 0 → Two real roots
• D = 0 → Equal roots
• D < 0 → No real roots

Common Mistakes

• Ignoring ± sign
• Incorrect discriminant calculation