Completing the square - Mathematics resources

Completing the squaremc-TY-completingsquare2-2009-1In this unit we consider how quadratic expressions can be written in an equivalent form usingthe technique known as Completing the square . This technique has applications in a number ofareas, but we will see an example of its use in solving a quadratic order to master the techniques explained here it is vital that you undertake plenty of practiceexercises so that all this becomes second nature. To help youto achieve this, the unit includesa substantial number of such reading this text, and/or viewing the video tutorial on this topic, you should be able to: write a quadratic expression as a complete square , plus or minus a constant solve a quadratic equation by Completing the simple basic in which the coefficient ofx2is not of the a quadratic equation by Completing the mathcentre 20091.

We will use these expansions to help us to complete the square in the following examples. Example Consider the quadratic expression x2 +6x− 4 We compare this with the complete square

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  Square, Example, Complete, Completing, Completing the square, Complete square

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