❖ Completing the Square - Solving Quadratic Equations ❖
Solving a Quadratic Equation by Completing the Square – Example
In this video, I demonstrate how to solve a quadratic equation by completing the square. The example focuses on a basic case where the coefficient of the x² term equals one. If the coefficient isn't one, we first factor it out from the x terms.
The process involves taking the coefficient of x, dividing it by 2, squaring it, and then adding and subtracting that value. After factoring, we use the square root property to find the solution(s), if they exist.
Completing the square is also useful for converting quadratic equations into vertex form, making it easy to identify the vertex and determine the direction the parabola opens.
Note: If you’re more familiar with a method where the constant is already on the right side, this approach is slightly different but leads to the same solution!
🚀 What you’ll learn:
How to complete the square to solve quadratic equations.
How to use the square root property to find solutions.
Understanding how to convert a quadratic equation into vertex form.
Recognizing the vertex and direction of a parabola.
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