Mastering Quadratic Equations: A Complete Guide

Quadratic equations are polynomial equations of degree 2. They appear everywhere in real life — from projectile motion to area calculations.

The standard form is: ax² + bx + c = 0

The three methods to solve:

1. Factorization: Express as (x-p)(x-q) = 0

2. Completing the Square

3. Quadratic Formula: x = (-b ± √(b²-4ac)) / 2a

The discriminant b²-4ac tells us:

- If positive: two real solutions

- If zero: one solution

- If negative: no real solutions

Practice makes perfect — aim for 10 problems daily!