Neat problem

JaneFairfax · 2008-10-02 02:47:05

There is a neat solution to this problem involving only three steps. My challenge to you is to find it.

All_Is_Number · 2008-10-12 03:40:40

JaneFairfax wrote:

There is a neat solution to this problem involving only three steps. My challenge to you is to find it.

I wasted a few hours yesterday trying to solve this puzzle.

x≈3.53208888624 or x≈2.34729635533 or x≈0.120614758428

I'm pretty sure that's not quite what you were looking for.

Identity · 2008-10-12 18:43:57

Since

and is positive, .

Also,

so .

hehe... well i guess x is somewhere in there...

JaneFairfax · 2008-10-15 12:04:22

bitus · 2008-10-16 05:02:33

1/2=sin(pi/6)=sin(3pi/18)=...=3sin(pi/18)cos^2(pi/18)-sin^3(pi/18)=3sin(pi/18)(1-sin^2(pi/18))-sin^3(pi/18)=...=3sin(pi/18)-4sin^3(pi/18)=sin(pi/18)(3-4sin^2(pi/18)). So, 2sin(pi/18)(3-4sin^2(pi/18))=1 & 4sin^2(pi/18)(3-4sin^2(pi/18))=1 giving the x=4sin^2(pi/18) since x(3-x)^2=1. The other two roots come out easily (2.347296177 & 3.532089061).

Daniel123 · 2008-12-27 05:54:51

Jane, would you mind providing another hint to this?

JaneFairfax · 2008-12-27 16:57:34

bitus already gave another hint. Maybe you didnt realize it because his/her post is so messy and horrible to look at. Well, I dont blame you. I myself hate lazy stupid people who dont bother to type their posts in LaTeX.

bitus · 2008-12-30 08:53:42

Jane is right; the lazy and stupid ones are to be hated. (However, the rude and ill-bred ones are to be pitied). I apologize for not having realized the meaning of latex to female needs.

Jai Ganesh · 2008-12-30 17:20:44

TRUCE Time to put an end to the war of words please.

emadstats · 2009-03-02 05:11:25

Jane, that was rude. You don't have any right to say that.

Kurre · 2009-03-02 06:16:19

JaneFairfax wrote:

Hopefully you can see why using LaTeX makes things far more readable than the pathetic shit written by bitus. I hope bitus goes to hell when he dies (which I also hope will be sooner rather than later)!

hahaha were you drunk when you wrote that??
any possible sarcasm is definitely not clear

TheDude · 2009-03-02 06:48:10

May have been a hack. Notice that the post was edited over a month after it was originally posted.

JaneFairfax · 2009-03-02 08:07:57

I may have been drunk when I posted that, but I assure you that I was perfectly sober when I edited it! Compare this:

1/2=sin(pi/6)=sin(3pi/18)=...=3sin(pi/18)cos^2(pi/18)-sin^3(pi/18)=3sin(pi/18)(1-sin^2(pi/18))-sin^3(pi/18)=...=3sin(pi/18)-4sin^3(pi/18)=sin(pi/18)(3-4sin^2(pi/18)). So, 2sin(pi/18)(3-4sin^2(pi/18))=1 & 4sin^2(pi/18)(3-4sin^2(pi/18))=1 giving the x=4sin^2(pi/18) since x(3-x)^2=1. The other two roots come out easily (2.347296177 & 3.532089061).

with this:

Which would you rather read? Well, Daniel clearly didnt bother reading the first one and I dont blame him. Id just tell the person who wrote it to go to hell for wasting my time looking at their ugly mess!

In any case bitus wrote this

bitus wrote:

Jane is right; the lazy and stupid ones are to be hated. (However, the rude and ill-bred ones are to be pitied). I apologize for not having realized the meaning of latex to female needs.

which was not very nice either. So why the hell cant I return kind for kind?

Last edited by JaneFairfax (2009-03-04 05:06:50)

ZHero · 2009-03-02 23:01:04

Well...
Mmmm...
bitus... why don't you Die and Go to Hell and Post your Ugly Feminine Comments there?
Errr...
JaneFairfax... why don't you Join him there and Give Him a Nice Bashing for it??

People There (in HELL!!) will Surely Love the Fight!!

Recent (and Sad) News is that WE won't be able to Enjoy the Scene because Hell's Govt has recently cancelled All Visitor's Passes of Earthly People!!

No Problem! Keep Dreaming!
I'm a bit Drunk... Join you Guys Later!!

:wink:

Math Is Fun Forum

#1 2008-10-02 02:47:05

Neat problem

#2 2008-10-12 03:40:40

Re: Neat problem

#3 2008-10-12 18:43:57

Re: Neat problem

#4 2008-10-15 12:04:22

Re: Neat problem

#5 2008-10-16 05:02:33

Re: Neat problem

#6 2008-12-27 05:54:51

Re: Neat problem

#7 2008-12-27 16:57:34

Re: Neat problem

#8 2008-12-30 08:53:42

Re: Neat problem

#9 2008-12-30 17:20:44

Re: Neat problem

#10 2009-03-02 05:11:25

Re: Neat problem

#11 2009-03-02 06:16:19

Re: Neat problem

#12 2009-03-02 06:48:10

Re: Neat problem

#13 2009-03-02 08:07:57

Re: Neat problem

#14 2009-03-02 23:01:04

Re: Neat problem

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