How to Solve Quadratic Equations by Completing the Square

Miacademy & MiaPrep Learning Channel

This educational video provides a clear, step-by-step guide to solving quadratic equations using the 'completing the square' method. It bridges the gap between manipulating algebraic expressions and solving equations, specifically addressing why adding a constant term is mathematically valid when applied to both sides of an equation. The narrator, Justin, uses a friendly and encouraging tone to walk viewers through three distinct examples ranging from integer solutions to irrational roots. The content focuses on key algebraic themes such as balancing equations, identifying perfect square trinomials, and handling square roots. It explicitly distinguishes between an expression (where adding terms changes the value) and an equation (where operations are valid if balanced), clearing up a common source of student confusion. The video also touches upon irrational numbers and how to express exact answers using radicals rather than decimals. For educators, this video serves as an excellent instructional tool for Algebra I or II classes. It offers a structured approach to a complex topic, providing visual cues for each step of the algorithm. The inclusion of a 'pause and try' section allows for immediate formative assessment, making it suitable for flipped classroom models, homework support, or in-class guided practice. The clear visual layout helps students follow the logic of rearranging terms and isolating variables.