Deriving Quadratic Formula by Completing the Square

Deriving the Quadratic Formula by Completing the Square Ever wondered where the quadratic formula really comes from? In this lesson, we go beyond memorising and derive the quadratic formula step-by-step using completing the square. This tutorial is designed for Grade 11 learners who want a deeper understanding of quadratic equations and the algebra behind the formula. In this video, you will learn: ✅ How to start from the general quadratic equation 𝑎 𝑥 2 + 𝑏 𝑥 + 𝑐 = 0 ax 2 +bx+c=0 ✅ How to apply completing the square to a general quadratic expression ✅ How each algebraic step leads logically to the quadratic formula ✅ Why the quadratic formula works for all quadratic equations ✅ How this understanding improves problem-solving and exam confidence By the end of the lesson, you won’t just use the quadratic formula — you’ll understand its origin and meaning. This strengthens your algebra skills and builds a solid foundation for higher-level mathematics. 📘 Ideal for CAPS and IEB learners 📘 Perfect for revision or concept mastery 📘 Clear, guided, step-by-step explanation Watch now to see how completing the square unlocks one of the most important formulas in mathematics!