Deriving Quadratic Formula by Completing the Square

Описание: 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!