Completing the Square
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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 x2 = 1
Examples:
Express the following in the form (x+a)2 + b
x2 + 8x - 1
x2 - 10x + 3
x2 + 3x - 2
x2 + 12x - 5
x2 - 5x + 1
Completing the Square
Coefficient of x2 > 1
Examples:
Express the following in the form (x+a)2 + b
3x2 - 12x + 5
2x2 - x - 1
2x2 + 12x - 3
5x2 + 3x - 2
Completing the Square
Coefficient of x2 < 1
Examples:
Express the following in the form (x+a)2 + b
5 - 8x - x2
5 + 12x - 2x2
4 + 10x - x2
1 - 3x - 5x2
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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 x2 = 1
Examples:
Express the following in the form (x+a)2 + b
x2 + 8x - 1
x2 - 10x + 3
x2 + 3x - 2
x2 + 12x - 5
x2 - 5x + 1
Coefficient of x2 > 1
Examples:
Express the following in the form (x+a)2 + b
3x2 - 12x + 5
2x2 - x - 1
2x2 + 12x - 3
5x2 + 3x - 2
Coefficient of x2 < 1
Examples:
Express the following in the form (x+a)2 + b
5 - 8x - x2
5 + 12x - 2x2
4 + 10x - x2
1 - 3x - 5x2
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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