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ThudnBlunder
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Simplify Expression
« on: Aug 27th, 2007, 2:44pm » |
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Simplify
[(11 + 5 5)/2]1/5 + [(76 - 345)/2]1/9
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towr
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Re: Simplify Expression
« Reply #1 on: Aug 27th, 2007, 2:58pm » |
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hmmm.. Whatever could [phi5]1/5 + [(1-phi)9]1/9 be 
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mikedagr8
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Re: Simplify Expression
« Reply #2 on: Aug 27th, 2007, 6:07pm » |
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Hooray, it looks like I can do this question, but I have logs to do. It is 3.116044297 according to my calculator 
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| « Last Edit: Aug 27th, 2007, 6:14pm by mikedagr8 » |
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ThudnBlunder
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Re: Simplify Expression
« Reply #3 on: Aug 27th, 2007, 6:30pm » |
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on Aug 27th, 2007, 6:07pm, mikedagr8 wrote:| Hooray, it looks like I can do this question, but I have logs to do. It is 3. according to my calculator |
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GIGO
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| « Last Edit: Aug 27th, 2007, 6:35pm by ThudnBlunder » |
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Sameer
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Re: Simplify Expression
« Reply #4 on: Aug 27th, 2007, 7:03pm » |
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It is lne
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denis
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Re: Simplify Expression
« Reply #5 on: Aug 27th, 2007, 8:15pm » |
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0.999......
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Barukh
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Re: Simplify Expression
« Reply #6 on: Aug 27th, 2007, 11:28pm » |
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on Aug 27th, 2007, 2:58pm, towr wrote:| hmmm.. Whatever could [phi5]1/5 + [(1-phi)9]1/9 be |
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Wow! Is it irrational?
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mikedagr8
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Re: Simplify Expression
« Reply #7 on: Aug 28th, 2007, 2:22am » |
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GIGO?
What does this mean, also what about ROLOL?
Lost about this.
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ThudnBlunder
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Re: Simplify Expression
« Reply #8 on: Aug 28th, 2007, 2:36am » |
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on Aug 28th, 2007, 2:22am, mikedagr8 wrote:GIGO?
What does this mean, also what about ROLOL?
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GIGO = Garbage In, Garbage Out
ROLOL should be ROTFL
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mikedagr8
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Re: Simplify Expression
« Reply #9 on: Aug 28th, 2007, 2:49am » |
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GIGO, thats the translation, but what does it actually mean, that I am incorrect? I'm not, I simplified it.
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towr
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Re: Simplify Expression
« Reply #10 on: Aug 28th, 2007, 2:59am » |
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on Aug 28th, 2007, 2:49am, mikedagr8 wrote:| GIGO, thats the translation, but what does it actually mean, that I am incorrect? I'm not, I simplified it. |
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You are incorrect. Your calculator may be ill-suited to simplify it.
You can simplify the first term easy enough (do you recognize the value?) But for the second term, you have to take the 9th root of a negative number. If your calculator is willing to do it at all, it might take the wrong one. (There are 9 options, but only one is correct in this context)
[e]My calculator seems to do it fine. I seem to recall having math programs/calculators screw up in similar problems though[/e]
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| « Last Edit: Aug 28th, 2007, 3:11am by towr » |
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mikedagr8
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Re: Simplify Expression
« Reply #11 on: Aug 28th, 2007, 3:21am » |
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1.618033989 sounds like the golden ratio to me...
I typed it incorrectly in the original response I think.
I'm going with denis on this one.
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| « Last Edit: Aug 28th, 2007, 3:23am by mikedagr8 » |
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towr
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Re: Simplify Expression
« Reply #12 on: Aug 28th, 2007, 3:29am » |
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on Aug 28th, 2007, 3:21am, mikedagr8 wrote:| 1.618033989 sounds like the golden ratio to me... |
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Yes, the calculator doesn't do it justice with rounding it off of course. It is exactly (1+5)/2
Once I had this, I guessed the other would be (1-5)/2, because that's the kind of person I think Thud is
(In any case I'd have expected the final answer to be an integer; because that's the kind of neat result you'd expect from a puzzle like this; and of course there were a few similar puzzles like this a while back)
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denis
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Re: Simplify Expression
« Reply #13 on: Aug 28th, 2007, 5:31am » |
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on Aug 28th, 2007, 3:21am, mikedagr8 wrote:1.618033989 sounds like the golden ratio to me...
I typed it incorrectly in the original response I think.
I'm going with denis on this one. |
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Actually my answer wasn't derived by calculator. It was a veiled reference to another "puzzle" (the one where 0.9999...=1 where 9's are repeated ad infinitum)
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ThudnBlunder
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Re: Simplify Expression
« Reply #14 on: Aug 28th, 2007, 5:47am » |
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on Aug 28th, 2007, 3:29am, towr wrote:| because that's the kind of person I think Thud is |
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Yes, naturally well-balanced and even-handed, that's me.
In general, [(L(n) + F(n)5)/2]1/n  [(L(k) - F(k)5)/2]1/k = 1
If k is odd we take the plus sign.
If k is even we take the minus sign.
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| « Last Edit: Aug 28th, 2007, 8:06am by ThudnBlunder » |
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mikedagr8
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Re: Simplify Expression
« Reply #15 on: Aug 28th, 2007, 3:34pm » |
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ROTFLOL TB. Hahaha, nice
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| « Last Edit: Aug 28th, 2007, 4:16pm by mikedagr8 » |
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