Completing the Square

Definition of Completing the Square

• Completing the square is the process of converting a quadratic equation into a perfect square trinomial by adding or subtracting terms on both sides.

Examples of Completing the Square

• In the example shown, the term 2x is added on both the sides to convert   into a perfect square trinomial.

 

Solved Example on Completing the Square

Solve  by completing the square.

Choices:

A. - 13 and - 3

B. 1 and - 39

C. 13 and - 3
D. 3 and - 13

Correct Answer: D

Solution:

Step 1:

Step 2:

Step 3: x = 3 or - 13

Related Terms for Completing the Square

• Trinomial
• Perfect Square
• Term
• Quadratic Equation

 

Additional Links for Completing the Square

• Click here for samples
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