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Solving Quadratic Equations by Completing the Square

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Examples, videos, worksheets, solutions, and activities to help Algebra students learn about solving quadratic equations by completing the square.

The following diagram shows how to use the Completing the Square method to solve quadratic equations. Scroll down the page for more examples and solutions of solving quadratic equations using completing the square.
Complete the Square

Completing the Square - Solving Quadratic Equations
1. x2 + 6x - 7 = 0
2. 2x2 - 10x - 3 = 0
3. -x2 - 6x + 7 = 0
Quadratic Equations - Completing the Square
1. x2 + 12x - 31 = 0
2. x2 - 8x + 10 = 0
3. 2x2 - 10x + 8 = 0
4. 3x2 - 8x + 5 = 0

Solving a quadratic by completing the square
How to solve a quadratic equation by completing the square?
In this tutorial, you are shown how to solve a quadratic equation that does not factorise easily by the method of completing the square.

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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