Related Topics:
More Lessons for GCSE Maths
Math Worksheets
Examples, solutions, and videos to help GCSE Maths and Algebra students learn how to complete the square.
The following diagram shows the formula for Completing the Square. Scroll down the page for more examples and solutions of how to complete the square.
Completing the Square
Coefficient of x
2 = 1
Examples:
Express the following in the form (x+a)
2 + b
x
2 + 8x - 1
x
2 - 10x + 3
x
2 + 3x - 2
x
2 + 12x - 5
x
2 - 5x + 1
Completing the Square
Coefficient of x
2 > 1
Examples:
Express the following in the form (x+a)
2 + b
3x
2 - 12x + 5
2x
2 - x - 1
2x
2 + 12x - 3
5x
2 + 3x - 2
Completing the Square
Coefficient of x
2 < 1
Examples:
Express the following in the form (x+a)
2 + b
5 - 8x - x
2
5 + 12x - 2x
2
4 + 10x - x
2
1 - 3x - 5x
2
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.