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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

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

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