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Complete the square in each of the following by putting in the form $(x+B)^{2}-C$$$x^{2}+9 x$$

$$(x+9 / 2)^{2}-81 / 4$$

Algebra

Chapter 0

Reviewing the Basics

Section 3

Completing the Square

Equations and Inequalities

Missouri State University

Campbell University

Harvey Mudd College

Lectures

01:16

Complete the square in eac…

01:03

01:09

01:14

01:11

01:22

01:57

02:51

02:19

01:59

Complete each quadratic ex…

00:56

Complete the square for ea…

00:24

Complete the square.$$…

00:22

Complete the square. $…

01:51

Multiple Choice To co…

Okay, so we're looking at this X squared plus nine X, and our goal is to get it from that form, you can use D into a new form. It looks something like this, and the process is always the same. You start by looking at this number. I live d and you divide it by two and you square that number. That's why its called Completing the Square. So as a reminder to square something means multiplied by itself into multiply. Fractions are just straight across nine times nine is 81. 2 times two is four. So why do we do that? Well, we take that value that X squared plus nine x And I just like to put a blank here and here with a parentheses, because then I can look at that and say, Okay, well, let's add 81 4th in here. Well, you can't just add 81 force that changes the value of that X squared plus nine x so that's only acceptable. Later you subtract 81 force over. That's why there's a minus over here, and why do we do that is now inside of my parentheses is a perfect square Taino Nial. That nine half times nine has multiplies to give me 81 force and nine has plus nine haps gives me nine. That's why we found this value earlier. So how do we write our answer? Instead of writing X plus nine halves twice, we just write X Plus nine have once squared because that means two of them. That's where that comes from. Minus 81 force, and there's your final answer. We're done.

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