How to solve a quadratic equation by completing the square


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Examples, solutions, videos, activities and worksheets that are suitable for A Level Maths.

What is Completing the Square?
Completing the square is a process to convert a quadratic equation from
the general form y = ax2 + bx + c
to the vertex form y = a(x - h)2 + k
The vertex form can be used to find the vertex of a quadratic equation and to solve a quadratic equation.

The following diagram gives the vertex form of a quadratic equation. Scroll down the page for more examples and solutions.
Vertex Form of a Quadratic Equation
 

Completing the Square (Tutorial 1)




Completing the Square (Tutorial 2)

Completing the Square (Tutorial 3)

How to Solve a Quadratic Equation by Completing the Square?



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