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

Find the unknown.$$(2 y-3)^{2}+24=0$$

$$\frac{3 \pm 2 \sqrt{6 i}}{2}$$

Algebra

Chapter 0

Reviewing the Basics

Section 2

Solving Equations of the Form $a x^{2}-b=0$

Equations and Inequalities

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

02:26

Find the unknown.$$\fr…

02:08

00:36

Find the unknown.$$y^{…

Find the unknown.$$2 y…

00:24

01:58

Find the unknown.$$(y-…

01:05

Solve.$$3 y^{2}+8 y+2=…

02:19

Find $d y$$$2 y^{3 / 2…

01:27

Solve the equations.$$…

02:28

Find $d y$$$x y^{2}-4 …

we need to solve for y in this problem, which we do that by getting the squared piece by itself. Uh, and we can do that by subtracting. Get this squared piece by itself, which we can get by itself by subtracting that 24 over. So on the right side, zero minus 24 is negative. 24. Now, a quick statement is it's impossible to square a real number to get a negative. So we're going to get a non real solution, because whether you square negative or positive, you're going to get a positive, not a negative answer. Well, we can get around that by undoing the square by square rooting. Is this usage of a plus or minus I and the problem? Um, and just for those who need to practice, you know that guy being pulled out as you can rewrite 24 as four times six and we know the square root of four is too, and six dozen breakdown is any more perfect squares. There might be a few other people that do. This problem is slightly different, but this is accepted. And now we're about ready to sell for why? It's just a two step process. Just got to add three to the right side. And because that's a whole number, we can We cannot combine it with the imaginary part, Uh, and then to get rid of the two times you divide that too. So there's your correct complex root complex solution. Uh, I do want to point out, because some teachers might rewrite this answer. You can divide each piece by two. The reason why that would be beneficial. These twos are cancelled so you can just leave your complex route like this. So here's another option for anybody that wants it. They were both correct.

View More Answers From This Book

Find Another Textbook

Numerade Educator

08:29

Solve for the unknown, and then check your solution.$$\frac{3}{5} y-\fra…

02:13

In each of the following, solve the given quadratic equation exactly using t…

02:36

Two planes leave JFK airport at the same time, one flying north at $500 \mat…

02:27

Solve each of the quadratics by first completing the square. When the roots …

06:11

Solve for the unknown, and then check your solution.$$0.35+0.24 x=0.2(5-…

01:13

Rewrite the equation in the form $a x^{2}+b x+c=0,$ with $a > 0,$ and the…

01:24

Find the unknown.$$(x+3)^{2}=25$$

01:11

Complete the square in each of the following by putting in the form $(x+B)^{…

03:03

Given the function defined by the equation $f(x)=2 x^{2}-1$ determine (a) $f…

03:08

Plot the lines found in Exercise $6$.