Algebra A Math: Solving Equations by Completing the Square


This lesson introduces the student to solving quadratic equations by completing the square. The student will learn how to complete the square and how to use this technique to solve quadratic equations.

This series of four lessons first introduces the student to the concept of completing the square. Then, the student is shown how to use the technique of completing the square to solve quadratic equations.


Completing the Square: Introduction

In this lesson, the student learns to complete the square of a quadratic expression. They learn that halving the coefficient of x and squaring it will allow the quadratic expression to become a perfect square.


Completing the Square: Solving Equations I

This lesson introduces the student to using the completing the square technique in order to solve equations. In this lesson, the student sees how completing the square can be used to solve quadratic equations that have the terms of x on one side of the equation and a constant term on the other side.


Completing the Square: Solving Equations II

This lesson shows more complex equations where completing the square can be used to solve the quadratic equation. The student learns to solve quadratic equations that are written in standard form using the completing the square technique.


Completing the Square: Solving Equations III

In this lesson, the student learns how to use completing the square to solve equations when the coefficient of x-squared is not one. The student learns to divide through the entire equation by the leading coefficient in order to solve the equation.



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