Solving Quadratic Equations by Completing the Square

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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.

Completing the Square - Solving Quadratic Equations

Examples:

1. x² + 6x - 7 = 0
2. 2x² - 10x - 3 = 0
3. -x² - 6x + 7 = 0

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Quadratic Equations - Completing the Square

Examples:

1. x² + 12x - 31 = 0
2. x² - 8x + 10 = 0
3. 2x² - 10x + 8 = 0
4. 3x² - 8x + 5 = 0

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Solving a quadratic by completing the square

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.

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