Derive the Quadratic Formula by Completing the Square | HSA-REI.B.4 🖤

In this video I will derive the Quadratic Formula by Completing the Square to the standard form for a quadratic equation. Have you ever wondered where the quadratic formula came from? Do you struggle to understand why such a complicated formula exists and what it is used for? This video is for you! You will discover how it came to be and why. The PROOF of the Quadratic Formula explained. We will derive the Quadratic Formula by completing the square to the Standard form of a quadratic function. #algebra #QuadraticFormula #derivingthequadraticformula Buy an Editable Copy of the Slides Used to make this video - https://www.teacherspayteachers.com/P... Website: www.magicofmath1.com TPT Resources: https://www.teacherspayteachers.com/S... 00:00 Introduction 00:13 Find the Real Solutions 00:31 The Quadratic Formula 01:07 Standard Form of a Quadratic Equation 01:25 Where did the Quadratic Formula come from? 01:47 Complete the Square to Derive! 02:06 Step 1: Evaluate when y=0 02:18 Step 2: Divide each term by a - the leading coefficient. 03:00 Step 3: Subtract the constant term from both sides. 03:34 Step 4: Create a Perfect Square Trinomial - half of b and square 03:47 Step 5: Add the Square to BOTH sides 04:05 Step 6: Write the Left as a Perfect Square Trinomial 04:30 Step 7: Simplify the Right Side 05:21 Step 8: Find the square root of EACH side 06:04 Step 9: Inverse Operations to Isolate x! 06:37 The Shortcut to Complete the Square HSA-REI.B.4a Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x−p)2=q that has the same solutions. Derive the quadratic formula from this form.