Posted by **Marysvoice** on Tuesday, February 5, 2008 at 11:33am.

I am trying to define the different appraoches to solving quadratic equations. My book says using quadratic formula, completing the sqaure and factoring.

I thought completing the square would be by facotring? How are these two different?

- Algebra Quadratic Equations -
**drbob222**, Tuesday, February 5, 2008 at 11:46am
Completing the square is a variation, I suppose, of factoring. The idea is to make the number, which isn't factorable (is that a word?) into one that can be factored. For example,

X^2 + 4x + 4 can be factored into (x+2)^2. So if we had an equation, such as

X^2 + 4x + 3, we rearrange the equation to

X^2 + 4x + ..... = -3

Then we add 4 to both sides, like this,

X^2 + 4x + 4 = -3 + 4

Now the left side is a perfect square

(X + 2)^2 = +1

and we solve for X.

I hope this answers your question.

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