Question

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Answer 1

To complete the square, you first want to get the \(x^2\) and \(x\) terms by themselves on one side of the equation. So what should you do in order to accomplish that? :-)

Answer 2

No (I don't see how you can factor the left side if you haven't completed the square yet). You want to get \(x^2+2x\) by itself on one side of the equation. In other words, we want to go from \(x^2+2x+3=0\) to something of the form \(x^2+2x=\ldots\). What do you need to do in order to accomplish that? :-)

Answer 3

No. If you compare the equations \(x^2+2x+3=0\) to \(x^2+2x=\text{something}\), what do you see different about the left hand sides?

Answer 4

There you go. :-)

Answer 5

This is an interesting question to be honest, because I was taught to complete the square in a different way (and furthermore I teach people to do it a different way). XD

Answer 6

It's not much different than what is presented here; it's just that the order that it's executed is different than what is suggested by this question.