Great question! 🎯 Let me explain the Quadratic Formula step by step.
A quadratic equation has the form: ax² + bx + c = 0
The quadratic formula is:
x = (-b ± √(b² - 4ac)) / 2a
Let's work through an example:
Solve: x² - 5x + 6 = 0
Here, a = 1, b = -5, c = 6
- Calculate b² - 4ac = (-5)² - 4(1)(6) = 25 - 24 = 1
- Apply the formula: x = (5 ± √1) / 2
- x = (5 + 1) / 2 = 3 or x = (5 - 1) / 2 = 2
✅ Solutions: x = 3 or x = 2
Would you like to practice with another example? 📝