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Complete the square in each of the following by putting in the form $(x+B)^{2}-C$$$x^{2}+3 x$$

$$(x+3 / 2)^{2}-9 / 4$$

Algebra

Chapter 0

Reviewing the Basics

Section 3

Completing the Square

Equations and Inequalities

Campbell University

McMaster University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:16

Complete the square in eac…

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02:19

02:51

01:57

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01:11

00:22

Complete the square. $…

00:17

Complete the square for ea…

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00:24

Complete the square.$$…

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So in order for us to complete this square, remember, What we're going to do is look at the coefficient of R X term and we will first divide this by two and then square it, and then we'll also subtract that same value off of it. So now this would give us X Square plus three x and then so through over nine doesn't divide easily or evenly, so I'll just leave it like that, and then we would just square. So that would be nine force minus nine Force. And so now this is going to become a perfect square. So be X, plus something squared. And then this is just minus nine force, and the way we find what to put right here is so you can either just come up here and look what you have on the inside of the square. Or just take that middle term again and divided by two. So just be three over to there. And so this ends up being our completed script

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