The quadratic formula provides an efficient method for **solving quadratic equations**. This summary explores its application and various examples.

**Quadratic Formula**: For ax² + bx + c = 0, x = (-b ± √(b² - 4ac)) / (2a)

Key points:

- Used when factoring is difficult or impossible
- Requires identifying coefficients a, b, and c
- Can solve equations with real or complex roots
- Useful for finding exact solutions

Examples demonstrate applying the formula to different quadratic equations, including those requiring simplification before solving.