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Find the unknown.$$(x-4)^{2}+3=39$$

$$-2,10$$

Algebra

Chapter 0

Reviewing the Basics

Section 2

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

Equations and Inequalities

Campbell University

Harvey Mudd College

Idaho State University

Lectures

01:44

Find the unknown.$$(x+…

02:17

Find the unknown.$$\fr…

00:33

Find the unknown.$$x^{…

01:23

Find the unknown.$$(x-…

00:56

02:36

Find the unknown.$$(6 …

01:07

Find the unknown.$$3 x…

00:32

Find the value of the expr…

00:20

Evaluate the expression wh…

00:34

Evaluate.$$4+x^{3}…

00:55

Evaluate $x^{2}-4$ for $x=…

Yeah. So this problem has X minus four squared. That's right. Plus three equals 39. So what you need to do in this problem is get the squared piece all by itself. So what that means is this Plus three has to go, and we have to move that to the other side. And we can do that by doing its inverse operation, which is minus three. So on the right side, we're now looking at 36 on the left side. We have this X minus four square, and that's why we did that. So then we can undo the square by square, rooting both sides square root in the square will cancer. So on the left side, we have this X minus four equals. Now, on the right side, make sure you have both answers, plus or minus six. So when you square root and you're solving, you could have had a negative value over here because the negative once you square, it does give you a positive. So then your last step is to add for over, Um, and it's very rare that a teacher will let you leave an answer like this just like this because four plus six is 10 and four. Minus six is negative two. So this is how your most teachers want to see the answers. Okay, When you can get perfect image, your answers, they want to see it like that. 10 and negative tooth.

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