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Complete the square in each of the following by putting in the form $(x+B)^{2}-C$$$x^{2}-7 x$$

$$(x-7 / 2)^{2}-49 / 4$$

Algebra

Chapter 0

Reviewing the Basics

Section 3

Completing the Square

Equations and Inequalities

Campbell University

Baylor University

Idaho State University

Lectures

01:16

Complete the square in eac…

01:22

01:09

01:03

01:14

01:45

02:51

02:19

01:11

00:34

Complete the square for ea…

00:39

01:51

Multiple Choice To co…

01:42

To complete the square of …

03:08

Complete the square.$$…

00:24

We're looking at X squared minus seven X And what we're doing is we're taking this this term and I don't really care that that's positive. Negative? It doesn't matter. And my goal is to change it into this form. Um, there's a reason why that's a minus where we'll talk about the process. Um, and all the processes you look at this middle number, this negative seven and you always divided by two. And then you square that number, Um, so just a reminder what it means to be squared is multiplied by itself. So negative times negative, Positive. Seven times seven is 49 because you multiply straight across, uh, and two times two is four. So what we're looking at from right here to down here is X squared minus seven x. What I like to do is put a blank here and here, and what goes in that blank is this number that 49 force. Now you cannot just add in a number because I changed the value by adding something in so later in the problem, I also have to subtract that same number. So if I give somebody 49 4 to the dollar later, they better give me 49 force for dollar back. That's why this is a minus over here, and the reason why you do that is now The left side is a perfect square. Try no meal, and here's your shortcut. It's always this value, because Negative seven has plus name seven hands is negative. Seven and negative seven has times negative. Seven has is 49 fours. But instead of writing that twice X minus seven, half's X minus seven has right at once squared because that means multiplied by itself. And then don't forget about that minus 49 force circle that because we're done.

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