Question

Solve S = 4v2 for v.
The answer I got was 2/s = v. I have no idea what I did wrong. Please help?

Answer 1

S = 4v^2

S/4 = v^2

(S/4)^1 = v^(2)

\[(S/4)^{(1)(\frac{1}{2})} = v^{(2)(\frac{1}{2})}\]

\[(S/4)^{(\frac{1}{2})} = v^{1}\]

\[(S/4)^{\frac{1}{2}} = v\]
or
\[\sqrt{\frac{S}{4}} = v\]

Answer 2

or

\[\frac{\sqrt{S}}{2} = v\]

Answer 3

Okay. Thanks tons. :)

Answer 4

wait one sec

\[\pm \frac{\sqrt{S}}{2} = v\]

Answer 5

Could you explain the steps a bit more...?

Answer 6

that would be the actual answer

Answer 7

If v is strictly positive or zero, then \[\Large v = \frac{\sqrt{S}}{2}\]


But if there is no restriction, then \[\Large v = \pm\frac{\sqrt{S}}{2}\]

Answer 8

it is plus or minus because you are dealing with a square function thus you can input a negative of postive value into it and still get a positive

Answer 9

what dont you understand about the algebra?

Answer 10

I dont think I could write it in anymore detail

Answer 11

The only thing I think you could get confused about is the exponents

Answer 12

Basic idea:

Step 1) Divide both sides by 4

Step 2) Take the square root of both sides

Step 3) Simplify

Answer 13

jim thompson that might be the basic idea but it doesn't get to the root of the problem learning how to deal with exponents is fundamental

Answer 14

no need to deal with exponents really

Answer 15

if he had v^(3) or v^(3/2) he wouldnt be able to solve for it

Answer 16

sure you can go that route, but dealing with square roots is probably easier

Answer 17

Why do you bother even posting if you aren't going to educate people properly

Answer 18

there's nothing wrong with my solution

Answer 19

no there isn't but this site isn't about solving peoples problems its about teaching them how to solve their own problems

Answer 20

I do that, i post steps so they can follow them and learn from them

Answer 21

yeah I dont know why Im arguing with you sorry person

Answer 22

and i go over how I got those steps and such

Answer 23

yeah idk either, you're very rude

Answer 24

yeah and I'm a lot of other stuff too :)

Answer 25

I guess this is the thanks I get for helping people...

Answer 26

do you want me to mail you a sandwich

Answer 27

i don't need your sarcasm, and if you haven't noticed I provide a lot of hints and such where I don't do the full problem

Answer 28

or I'll do a piece of it and ask them to finish or walk me through it

Answer 29

It isn't sarcasm give me your address and I will mail you a sandwich

Answer 30

I'm not judging you man, sorry I said anything stop being overly sensitive

Answer 31

well i would appreciate you not judging or jumping to conclusions, I'm not being overly sensitive

Answer 32

I would appreciate you not jumping to conclusions about me and sarcasm but life isn't the way we always want it to be is it

Answer 33

no, it isn't...we offer our help only to have people snap back, but oh well

Answer 34

meh