Completing the Square to Solve Quadratic Equations
More Lessons for Grade 6
Math Worksheets
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)
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
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