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In $3-8,$ complete the square of the quadratic expression.$$x^{2}-3 x$$

$\left(x-\frac{3}{2}\right)^{2}-\frac{9}{4}$

Algebra

Chapter 5

QUADRATIC FUNCTIONS AND COMPLEX NUMBERS

Section 1

Real Roots of a Quadratic Equation

Equations and Inequalities

Quadratic Functions

Complex Numbers

Polynomials

Campbell University

McMaster University

Baylor University

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

01:11

01:40

In $3-8,$ complete the squ…

01:51

01:53

01:50

02:02

00:50

Solve the quadratic equati…

00:23

Complete the square for ea…

01:46

Solve by completing the sq…

06:39

Solve the equation by comp…

02:16

Solve each quadratic equat…

case right here via the expression X squared. Thanks, Squared Nice three x, and this is an expanded form with two terms, and you want to be a bit. He's completing the square to rewrite this in a different form, and you'll see that if you use the term negative three halves in the square for this. So let's say news, you say X minus three has squared and negative. If you expand this, using foil you'd see would be X squared minus than three halves X minus 73 halves except becomes minus three X. And then when you multiply three halves by itself, it would create a 9/4. So in order to account for that, let's do this. Let's rewrite that original expression as X squared, minus the reacts native. Three house once again squared is plus 9/4 and we'll subtract it and forth so as not to affect the equation. It all right? And just looking at this part right here without that negative nine forts at the end, that would be when it's been expanding. Ex ministry have squared. That's what you would not be. What you get using oil. Um, so you would have t write this as X have it's weird. Then get the nine forts in there then So the first equation extra miles three x is the same as this boxed form right here. And we wrote rear up this using cooking square in that

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