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Complete the square in each of the following by putting in the form $(x+B)^{2}-C$$$x^{2}-6 x$$

$$(x-3)^{2}-9$$

Algebra

Chapter 0

Reviewing the Basics

Section 3

Completing the Square

Equations and Inequalities

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Lectures

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Complete the square in eac…

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Complete the square.$$…

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Complete the square to mak…

01:51

Multiple Choice To co…

01:42

To complete the square of …

so remember for us to complete the square. What we're going to do is look at this middle term here, ever going to divide it by two first. So first let's Dio plus so eggs of 6/2 and then we're going to square this and well, if we add something, we also have to subtract it. So I do. Minus and negative six over to squared. And now let's go Everybody out when we get there. So it's X squared minus six x So negative two or negative six over to is going to be negative three and then negative three swear would be nine. So this would be plus nine and then over here, that would just be minus not. And now this first part should be a perfect square. And so that means it's gonna be written like X plus some number squared. And then we have that negative mine out there still, and the way you figure out what number you need to put right here is again by looking at whatever number you took here and divided it by two. So we don't do the square. Just do negative six divided by two. So I'll give us negative three s so that we could just go ahead and rewrite this as X minus three squared minus nine. And then that is what we would get after completing this square.

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