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To derive the quadratic formula, the method that must be used is **completing the square**. This technique is essential for transforming the general quadratic equation \( ax^2 + bx + c = 0 \) into a form that allows the quadratic formula to be extracted.

Would you like more details on how completing the square leads to the quadratic formula?

Here are 5 follow-up questions to consider:

1. What is the general form of a quadratic equation?
2. How is the process of completing the square done step-by-step?
3. What are the key advantages of using the quadratic formula over other methods?
4. Can the quadratic formula be derived using any other methods?
5. What are some real-world applications of the quadratic formula?

**Tip:** When solving quadratic equations, always check if factoring is possible before applying the quadratic formula—it can save time!

What method of solving quadratic equations must be used in order to derive the quadratic formula?

Learn how to derive the quadratic formula by using the completing the square method. This problem involves key algebraic concepts and is suitable for students in Grades 9-12. Discover the detailed steps leading to the famous quadratic formula for solving any quadratic equation.

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