Completing the Square


Related Topics:
Factoring Out Common Factors (GCF).




Share this page to Google Classroom

Factoring Quadratic Equations using  Perfect Square Trinomial (Square of a Sum or Square of a Difference) or Difference of Two Squares.

Factoring Quadratic Equations where the coefficient of x2is 1.
Factoring Quadratic Equations where the coefficient of x2 is greater than 1 
Factoring Quadratic Equations using the Quadratic Formula.

There are several techniques that can be used to factor quadratic equations.
In this lesson, we will learn how to use Completing the Square method to solve quadratic equations. It involves adding a constant to both sides of the equation in oder to get a squared expression on one side of the equation.

Example:

Find the roots of the equation: x² + 6x + 4 = 0, correct to 3 significant figures.

Solution:

x² + 6x + 4 = 0

x² + 6x = –4

x² + 6x + 32 = –4 + 32

(x + 3)² = 5

(x + 3) = √5 or (x + 3) = – √5

x = √5 – 3 or x = – √5 – 3

x = √5 – 3 or x = – √5 – 3

x = –0.764 or x = –5.24 (correct to 3 sig. fig.)

The following videos will explain in detail how to solve quadratic equations using completing the square method.




Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

Fraction Concoction Game



We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.