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Find the unknown.$$\frac{2}{3}(x+3)^{2}=12$$

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

Algebra

Chapter 0

Reviewing the Basics

Section 2

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

Equations and Inequalities

Campbell University

Baylor University

Idaho State University

Lectures

01:44

Find the unknown.$$(x+…

01:07

Find the unknown.$$3 x…

01:30

Find the unknown.$$(x-…

00:33

Find the unknown.$$x^{…

01:23

04:07

Find the term of$$\lef…

00:16

Evaluate the expression wh…

00:30

00:24

Find the value of $x$$…

02:36

Find the unknown.$$(6 …

so we have to solve for X in this problem, two thirds X plus three squared as equal to 12. I know some people just prefer getting the square by itself. Well, I mean, that's that's what you should do. I was going to say some people prefer to divide the fraction over. I'm not a fan of that at all. I would much prefer multiplying by the reciprocal now, for the record, you can divide and to divide by fractions, the same as multiplying by the reciprocal. So you would have done the same thing anyway. Just makes more sense to me to do it this way. Plus, you can see the threes. Cancel the two's cancel and you're just left with on the left side X plus three calling the square Now on the right side. This is pretty straightforward because you can do 12 times. Three is 36 divided by two is 18. Another way to do is 12. Divide by 2 to 6 times three is 18. You'll get the same answer no matter what. So then you can square root both sides, and the reason why square root is to cancel out the squared Uh, and this reduces to well, first of all, plus or minus, because when you square where you can get a positive and a negative answer 23 route to a couple of ways of explaining that is You can break down 18 as nine and to break down three and three, and your pears and numbers go in front and your nonparent primes go into the radical. Some teachers explain it because squared of 18 this route nine times through to and the square root of nine is three. Make sure you're doing whatever your teacher prefers. You know, I don't want to want due to get mad at me because I showed you a different way than your teacher. Um, but this is correct. And then one last thing is you need to get this plus three to the other side and you just quickly subtracted over. And because it's a whole number and this is irrational, we cannot put them together. And most people put the whole number in front of the irrational number, and that's your final answer. So we're done

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