View Full Version : Solve the equation...


Reiku
01-28-08, 01:15 AM
I had fun riddling this out.

3√2x -1 + 3 = 6

So have fun.

Hint... the variable x is wrapped up in a radical signature.

shalayka
01-28-08, 07:54 AM
I had fun riddling this out.

3√2x -1 + 3 = 6

So have fun.

Hint... the variable x is wrapped up in a radical signature.

Reiku, it's hard to tell where the square root symbol ends.

I took the lazy lazy route and assumed the equation is:

3 \sqrt{2x - 1} + 3 = 6
x = 1

:P

P.S. Edited to make it texy.

Nuglets
01-28-08, 10:47 AM
And if it's 3^Sqrt(2x-1) + 3 = 6, x=1 as well.

BenTheMan
01-28-08, 11:18 AM
I really wish you people would take ten minutes and learn how to use LaTeX.

I'm thinking of implementing this policy.

shalayka
01-28-08, 11:23 AM
I have to admit that I'm lazy. I've edited the post.

Enmos
01-28-08, 11:35 AM
3*sqrt(2x-1)+3 = 6
3*sqrt(2x-1) = 3
sqrt(2x-1) = 1
2x-1 = 1
2x = 2
x = 1

:shrug:

Edit: Sorry Ben lol

Nuglets
01-28-08, 11:46 AM
First I'll have to spend 18 hours downloading LaTeX.

Absane
01-28-08, 11:55 AM
First I'll have to spend 18 hours downloading LaTeX.

No you don't. It's implemented on the server side and the equations display as images.

I really wish you people would take ten minutes and learn how to use LaTeX.

I'm thinking of implementing this policy.

Why use force? Just keep encouraging it's use.

Nuglets
01-28-08, 12:10 PM
Thank you...before this forum I was unaware of what it even was.

QuarkHead
01-28-08, 05:23 PM
LaTex is is well worth having locally, and an 18 hr download is hugely exaggerated; 30-40 minutes I would guess
You need a back-end and an interface as explained here (http://www.artofproblemsolving.com/Wiki/index.php/LaTeX:Downloads), from where you can easily and quickly download (assuming you are using a Windows OS - otherwise look for parallel sites)
If you have Adobe Reader,(or whatever pdf reader your OS supports), all is very straightforward. If you decide to go down this route (and note - it is great for any document, letter etc, not just math), I can link you to user manuals

James R
01-28-08, 10:10 PM
There's a sticky thread at the top of the Physics forum that explains how to use LaTeX here.

Reiku
01-29-08, 02:44 AM
Not to the truth of the equation. Keep trying.

Reiku
01-29-08, 06:02 AM
I'm going to throw a hint.

x=14

1100f
01-29-08, 06:40 AM
^3 \sqrt{2x - 1} + 3 = 6
x = 14

Enmos
01-29-08, 07:09 AM
^3 \sqrt{2x - 1} + 3 = 6
x = 14

Oh.. ok.. lol

Reiku
01-29-08, 07:43 AM
2nd hint...

You must eliminate the radical by equalizing some componants of the original equation.

Absane
01-29-08, 08:11 AM
^3 \sqrt{2x - 1} + 3 = 6
x = 14

I had fun riddling this out.

3√2x -1 + 3 = 6

...

If you aren't going to learn Latex, at least learn how to type this out properly.

(2x-1)^(1/3) + 3 = 6

See? That wasn't so hard.

Reiku
01-29-08, 08:15 AM
I thought it was obvious enough.

Kadark
01-29-08, 08:54 AM
(2x - 1)^(1/3) + 3 = 6
((2x - 1)^(1/3))^3 = (3)^3
2x - 1 = 27
2x = 28
x = 14

Reinsert into original equation:

(2(14) - 1)^(1/3) + 3 = 6
(28 - 1)^(1/3) + 3 = 6
(27)^(1/3) + 3 = 6
3 + 3 = 6
6 = 6

Is this what you're looking for?

D H
01-29-08, 09:15 AM
I thought it was obvious enough.
No, it's not. How were we to know you actually mean us to solve ^{^3}\sqrt{2x-1}+3=6 when what you wrote is actually 3\sqrt2 x-1+3=6? Without using LaTeX, you should have written 3√(2x -1) + 3 = 6.

How to interpret 3√2x -1 + 3 = 6? Since the leading three is not superscripted, the only reasonable interpretation is that this is a multiplicative factor, not a modifier of the square root symbol. Since the square root symbol has a higher precedence than multiplication, it applies only to the two to the right of the symbol. Finally, since multiplication has precedence over addition, a mathematician would read your equation as 3\sqrt2 x-1+3=6, which has solution x=4/(3\sqrt 2).

We took some liberty with the original post, assuming you meant instead 3\sqrt{2 x-1}+3=6, which has solution x=1.

If you want to communicate mathematical problems, learn how to write them correctly.

Reiku
01-30-08, 05:59 AM
DH... you had it wrong.

Kadark... You solved it!!! Well done!!!

BenTheMan
01-30-08, 11:28 AM
Ok...

I am locking this thread and leaving it as a testament that all people who post here should learn to set their equations in LaTeX.