Question

Please help dont understand...

Solve the equation.
√ 3x-5=4
7


3
1/3
49

Answer 1

The Seven is one of the options. Sorry.

Answer 2

Is the root aver the 3x only?

Answer 3

only over the 3x*

Answer 4

until the five.

Answer 5

\[\sqrt{3x-5}=4\]

Answer 6

If you could explain too, I would really appreciate that.

Answer 7

First square both sides to get rid of the square root: 3x-5 = 4^2

Then subtract 5 from both sides to isolate 3x: 3x - 5 +5 = 16 + 5

Divide both sides by 3 to isolate x: 3x/3 = 21/3

So simplifying x = 7

Answer 8

Cool. Thnx @znimon

Answer 9

Any questions? just let me know

Answer 10

Does this work if theres a number outside/aka in front of the √ symbol

Answer 11

Do you mean \[2 \times \sqrt{somthing}\] or \[\sqrt[5]{somthing}\]

Answer 12

\[4\sqrt{x-5-8}=12\]

Answer 13

When solving an equations you are following reverse order or operations to essentially undo everything that has been done to x.

So, in the case you just mentioned you would divide both sides by 4 then square both sides

Answer 14

ok...

Answer 15

These are the options for it...

20
30
25
25/4

Answer 16

we would be dividing the 4 and the 12 right?

Answer 17

But it turns out that if you were to square both sides in this case it wouldn't matter. I don't want to confuse you and it is a good habit to get into to always use reverse order of operations.

You would get \[(4\sqrt{x-5-8})^{2} = 12^2\]

Answer 18

we dont divide, just square?

Answer 19

simplify inside the square root first

Answer 20

ok...

Answer 21

x-5-8 right?

Answer 22

ok...

Answer 23

haha - 13 sorry

Answer 24

\[4 * \sqrt{x-13} = 12\]

Answer 25

Then divide both sides by 4: \[\sqrt{x-13} = 3\]

Square both sides: \[x - 13 = 9\]

Add 13 to both sides: x = 22

Answer 26

22 isn't an option though...

Answer 27

x = 22 is the correct answer

Answer 28

Do we round?

Answer 29

Well do the instructions say to round?

Answer 30

20 is the closest option to 22 so...maybe 20?

Answer 31

no

Answer 32

\[4 * \sqrt{x-5-8} = 12\] ?

Answer 33

why the question mark? Is there something your unsure of?

Answer 34

I am checking is if this is the right problem because the only solution for x is 22

Answer 35

yes this is right.

Answer 36

I'm not sure perhaps the possible answers are faulty the solution in x = 22

Answer 37

is*

Answer 38

ok, well we tried our best, can you help me with this one too please, thanks again.
\[\sqrt{6m-5}=m\]

Answer 39

@znimon

Answer 40

Try this one on your own and ask me questions as you go. Our previous solution to the previous problem is absolutely correct.

Answer 41

@Callisto

Answer 42

ok i'll try.

Answer 43

do i divide by six?

Answer 44

you need to square both sides first

Answer 45

hmm

Answer 46

How to write exponent?@znimon

Answer 47

@Callisto