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Unformatted text preview: roblem is that both of these solution methods will not always work.
Not every quadratic is factorable and not every quadratic is in the form required for the square
root property.
It is now time to start looking into methods that will work for all quadratic equations. So, in this
section we will look at completing the square and the quadratic formula for solving the quadratic
equation, ax 2 + bx + c = 0 a¹0 Completing the Square
The first method we’ll look at in this section is completing the square. It is called this because it
uses a process called completing the square in the solution process. So, we should first define
just what completing the square is.
Let’s start with
2 x 2 + bx and notice that the x has a coefficient of one. That is required in order to do this. Now, to this
2 æbö
lets add ç ÷ . Doing this gives the following factorable quadratic equation.
è2ø
2 bö
æbö æ
x 2 + bx + ç ÷ = ç x + ÷
2ø
è2ø è 2 This process is called completing the square and if we do all the arith...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.
 Spring '12
 MrVinh

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