Factorable quadratic equation, Algebra

Let's begin with

                                                      x2 + bx

and notice that the x2 hold a coefficient of one. That is needed in order to do this. Now, to  this lets add ( b /2) 2 . Doing this gives the given factorable quadratic equation.

                                            x2 + bx + ( b /2)2  = (x+(b/2))2

This procedure is called accomplishing the square and if we do all the arithmetic properly we can guarantee that the quadratic will factor as a perfect square.

Let's do a couple of examples for completing the square before looking at how we employ this to solve out quadratic equations.

Posted Date: 4/6/2013 4:05:38 AM | Location : United States

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