Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Solve each of the quadratics by first completing the square. When the roots are irrational, also give the solutions to the nearest one thousandth.$$x^{2}+5 x+10=0$$

$$\frac{-5 \pm \sqrt{15 i}}{2}$$

Algebra

Chapter 0

Reviewing the Basics

Section 3

Completing the Square

Equations and Inequalities

McMaster University

University of Michigan - Ann Arbor

Idaho State University

Lectures

02:36

Solve each of the quadrati…

01:46

02:01

02:06

02:19

02:25

03:15

02:38

02:42

02:00

01:07

In each of the following, …

04:04

04:01

01:18

02:14

02:23

01:11

02:41

01:16

01:13

all right, we have the quadratic X squared plus five x plus, equal to zero, and we need to complete the square. So what I would do is move that constant over, and we do that by subtracting. Tune zero minus 10 is negative 10. And the process of completing the square is taking that be value cutting to but again in half and then squaring that number. And just that just means multiply each top and bottom by, uh, itself. So five times five is 25 two times two is four. Now you can't just add 25 to 1 side of the equation. Also have to add 25 to the right side of the equation. So what your next step is to you have a perfect square. Try no meal where you have factors of 25 forced to add to be five. And the shortcut is it's always this number. That's why it's always the same process. Um, X plus five have squared now on the right side. I would also change 10 to be a denominator with four intensive, the negative 40 force that, to me makes perfect sense that when we had that we get negative 15 in the denominator stays the same. So then your next step is to square root both sides, uh, and you just square root of fracture by doing top and bottom, so the square in the square root cancelled on the right side. Don't forget that you have plus or minus. When you square it a negative, you have to pull an eye in front. It's an imaginary number. Uh, the only way to break up 15 is five and three, and neither of those are perfect squares and square divorces, too. And there's only one thing left to do, and that's to move five halves to the right side, which can do by subtracting. And the denominators are already at the same, so we can just put them together as a single fraction. This is all you can do with this problem. There's your complex route. Yeah,

View More Answers From This Book

Find Another Textbook

Numerade Educator

01:31

Determine if the function defined by the given equation is odd, even or neit…

01:24

Determine the zeros and then, using the sign of the function, draw its sketc…

01:25

Determine the equation of the line whose slope and $y$ -intercept are given.…

02:30

In each of the following exercises, solve the given inequality.$$\frac{x…

03:39

Plot the lines found in Exercise $9$.

03:14

How long does it take 5,000 dollar to earn a total interest of 600 dollar if…

03:36

James has a collection of nickels and dimes which total to 5.15 dollar. If h…

Plot the lines found in Exercise $14$.

03:11

(a) Draw the graph of the parabola. (b) From your graph, estimate the $x$ -i…

02:50