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Why Must We Complete the Square?: Algebra

Completing the Square: So many steps, such little time. It sounds like it involves a square or maybe this is a geometry problem? Why am I doing this again? Why must we complete the square in the first place?

These are all the thoughts that cross our minds when first learning how to complete the square. Well, I’m here to tell you there is a reason for all those steps and they aren’t that bad if you really break them down, let’s take a look!

Answer: x={-7,3}

Explanation:

I’m not going to lie to you here, there are a lot of seemingly meaningless steps to completing the square. The truth is though (as shocking as it may be), is that they are not meaningless, they do form a pattern, and that there is a reason! Before we dive into why let’s look at how to solve this step by step:

Feeling accomplished yet!? Confused? All normal feelings. There are many steps to this process so go back and review, practice, and pay close attention to where things get fuzzy.

But the big question is why are we doing these steps in the first place? Why does this work out, to begin with?

For those of you who are curious, continue to read below!

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Need more of an explanation? Check out why we complete the square in the first place here !

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