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Find the unknown.$$(5 x+4)^{2}=20$$

$$\frac{-4 \pm 2 \sqrt{5}}{5}$$

Algebra

Chapter 0

Reviewing the Basics

Section 2

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

Equations and Inequalities

Missouri State University

Campbell University

Baylor University

University of Michigan - Ann Arbor

Lectures

01:00

Find the unknown.$$5 x…

01:11

Find the unknown.$$x^{…

00:42

01:24

Find the unknown.$$(x+…

01:06

01:57

Find the unknown.$$(3 …

02:48

Evaluate the expression fo…

02:16

00:23

Evaluate.$-5 x+20,$ wh…

01:33

Solve.$$4 x^{2}=20…

00:16

Evaluate.$$(5+2)^{2}+2…

00:57

Solve $4 x^{2}-20 x+25=0$.…

01:36

Solve.

$$25 x^…

00:34

The value of $5 x^{2}$ for…

So this problem we're solving for X we have five bucks plus four squared is equal to 20. And this is a good problem because this square is already all by itself. So we can undo that by square root in both sides. Um, and a lot of teachers teach us differently. Like I usually teach this as four times five and then four breaks down is two times two, and I like to write those pairs in front, plus or minus two Route five. Um, but I'm also aware that some teachers prefer writing that square to 20 is the same thing as the square to four times the square to five and square to four is, too. Um, every teacher is a little bit different. Okay, but now we're ready to solve for X, and it's the same same processes what we've done before, where you subtract for over so on the left side of five X equals. And it's just a habit of math teachers to put the whole number in front because we cannot combine negative for with two Route five. They are not like radicals. Once a whole number one has a radical. It's a simple explanation. And then it's perfectly okay to just divide five over and just leave your answer like that. This is good. We're done. I do know that some teachers prefer seeing the the answer written this way. Uh, and I just want to point out that you cannot simplify these five because one has a radical one is not. So. If you're gonna do this, leave your answer alone. Don't Don't get fancy. This is good enough, though.

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