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More Lessons for Grade 6

Math Worksheets

Examples, solutions and 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. If a ≠ 1, divide each term of the quadratic equation by a.

2. Write the quadratic in the form

x^{2} + bx + ____ = c + ____

3. Add (b/2)^{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 x^{2} 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 2x^{2} - x - 1
Completing the Square when the Leading Coefficient is not 1

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 Grade 6

Math Worksheets

Examples, solutions and videos to help GCSE Maths students learn how to complete the square in order to solve quadratic equations.

1. If a ≠ 1, divide each term of the quadratic equation by a.

2. Write the quadratic in the form

x

3. Add (b/2)

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)

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 2x

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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