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Completing the Square to Solve Quadratic Equations

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Videos to help GCSE Maths students learn how to complete the square in order to solve quadratic equations.

How to solve quadratic equations by completing the square?
1. Write the quadratic in the form
ax2 + bx + ____ = c + ____
2. If a ≠ 1, divide both sides by a.
3. Add \({\left( {\frac{b}{2}} \right)^2}\) to both sides of the equation.
3. Factor the left side of the equation. It should be a perfect square.
4. Square root both sides of the equation and solve for x.

GCSE Maths - Quadratic Equations 6 (Completing the Square) Higher Mathematics (IGCSE)
Quadratic Equation Completing the Square GCSE Maths revision Exam paper practice & help

Completing the square for a quadratic equation where the coefficient of x2 is greater than 1
This tutorial runs through completing the square for a quadratic expression where the coefficient of x squared is greater than 1.
The example given is 2x2 - x - 1
Completing the Square when the Leading Coefficient is not 1


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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