Deriving the Quadratic Formula by Completing the Square | Algebra

Algebra | Quadratic Formula, Completing the Square & Equation Proofs Where does the quadratic formula actually come from? In this clip from Infinity’s Saturday Morning Math Help Live, Stephanie works through a proof of the quadratic formula beginning with the standard quadratic equation: ax² + bx + c = 0 Mr. Bru explains how to derive the quadratic formula step by step using completing the square. The process includes: • Starting with the standard quadratic equation • Dividing every term by a • Moving the constant term to the other side • Completing the square • Simplifying the perfect-square trinomial • Taking the square root of both sides • Using plus or minus correctly • Isolating x • Arriving at the quadratic formula This is more than just memorizing x = (-b ± √(b² - 4ac)) / 2a It shows why the formula works and how it comes directly from the process of completing the square. Want your own math question answered? Join us for free Saturday Morning Math Help Live and submit a question for a chance to have Mr. Bru work it out on the show. Submit your question here: https://forms.gle/AJg4dCph6uYvvR3KA Infinity - The Math Institute TheMathInstitute.com Math is just counting. Don’t get more math problems… Get solutions! #Algebra #QuadraticFormula #CompletingTheSquare