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Solve Quadratic Equations by Completing the Square: Examples

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More Lessons for Grade 9 Math, Math Worksheets

Videos, worksheets, solutions, and activities to help Algebra and Grade 9 students learn about solving quadratic equations by completing the square.

Completing The Square
How to complete the square of a quadratic equation where the coefficient of x squared is equal to one or greater than one?
1. Write the quadratic in the form
ax2 + bx + ____ = c + ____
2. If a ≠ 1, divide both sides of the equations by a
3. Add (b/2)2 to both sides of the equation
4. Factor the left side of the equation. It should be a perfect square trinomial. Write it as a binomial squared.
5. Square root both sides of the equation and solve for x.
Completing The Square - Algebra Help
Students learn to solve quadratic equations by completing the square.

Completing the Square - Solving Quadratic Equations.
This video shows a slightly harder example of completing the square to solve a quadratic equation.
Advanced Completing the Square
Students learn to solve advanced quadratic equations by completing the square. Note that the quadratic equations in this lesson have a coefficient on the squared term, so the first step is to get rid of the coefficient on the squared term by dividing both sides of the equation by this coefficient.


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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