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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

Campbell University

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:22

Complete the square in eac…

01:03

01:16

01:14

01:09

02:51

02:19

01:57

01:45

01:11

00:35

Complete the square.$$…

01:18

Complete the square to mak…

00:24

So in order for us to complete the square, remember, What we're going to do is we take this middle term here and we're going to divide it by two first and then we're going to square that. But remember, if we add something, we also have subtracted. So we're going to subtract that quantity off as well. So let's just going to rewrite this. It was X Square plus six X and then that would be 6/2 3 squared, which would be dying to be plus nine minus nine. Now, this here turns into a perfect where it would be X plus something squared. And the way we find this, something s so you could just do, like the factoring method. Or you could come over here and just look okay, Well, I took the middle term, I divided by two, and that's what we should get here. So this is just going to be X plus three. And then over here we have minus nine still. And so this is what we would get once we complete that square

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