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KY  
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 More options Nov 19 2009, 6:23 am
Newsgroups: sci.math
From: KY <wkfkh...@yahoo.co.jp>
Date: Thu, 19 Nov 2009 01:23:04 EST
Local: Thurs, Nov 19 2009 6:23 am
Subject: at least one real solution
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Let k and K be real numbers for which the equation
 x^6 + x^5 + K*x^4 + k*x^3 + K*x^2 + x + 1=0
      has at least one real solution.

if and only if ____________.
(condition of k,K)


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Dirk Van de moortel  
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 More options Nov 19 2009, 11:05 am
Newsgroups: sci.math
From: "Dirk Van de moortel" <dirkvandemoor...@nospAm.hotmail.com>
Date: Thu, 19 Nov 2009 12:05:51 +0100
Local: Thurs, Nov 19 2009 11:05 am
Subject: Re: at least one real solution
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KY wrote:
> Let k and K be real numbers for which the equation
> x^6 + x^5 + K*x^4 + k*x^3 + K*x^2 + x + 1=0
>      has at least one real solution.

> if and only if ____________.
> (condition of k,K)

if and only if everyone maKes his own homeworK.

Dirk Vdm


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KY  
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 More options Nov 20 2009, 2:20 pm
Newsgroups: sci.math
From: KY <wkfkh...@yahoo.co.jp>
Date: Fri, 20 Nov 2009 09:20:21 EST
Local: Fri, Nov 20 2009 2:20 pm
Subject: Re: at least one real solution
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Let k and K be real numbers for which the equation
 x^4 + K*x^3 + k*x^2 +K*x + 1=0
      has at least one real solution.

if and only if ____________.
(condition of k,K)


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Tonico  
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 More options Nov 20 2009, 3:32 pm
Newsgroups: sci.math
From: Tonico <Tonic...@yahoo.com>
Date: Fri, 20 Nov 2009 07:32:59 -0800 (PST)
Local: Fri, Nov 20 2009 3:32 pm
Subject: Re: at least one real solution
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On Nov 20, 4:20 pm, KY <wkfkh...@yahoo.co.jp> wrote:

> Let k and K be real numbers for which the equation
>  x^4 + K*x^3 + k*x^2 +K*x + 1=0
>       has at least one real solution.

> if and only if ____________.
> (condition of k,K)

What isn't clear with Dirk's excellent answer? Pay attention, here's
for you once again:

"If and only if everyone maKes his own homeworK."

Tonio

Ps. Further hint: you can change the K's in the above respond by k's
and it'll work great, too.


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Marc Olschok  
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 More options Nov 20 2009, 4:16 pm
Newsgroups: sci.math
From: Marc Olschok <nob...@nowhere.invalid>
Date: Fri, 20 Nov 2009 16:16:54 +0000 (UTC)
Local: Fri, Nov 20 2009 4:16 pm
Subject: Re: at least one real solution
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KY <wkfkh...@yahoo.co.jp> wrote:
> Let k and K be real numbers for which the equation
>  x^6 + x^5 + K*x^4 + k*x^3 + K*x^2 + x + 1=0
>       has at least one real solution.

> if and only if ____________.
> (condition of k,K)

Gehe hinaus in den Sturm,
und spiele mit dessen Ketten.
Im Spiel der Variationen
wird Erleuchtung sich einstellen.

--
Marc


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Chip Eastham  
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 More options Nov 20 2009, 7:04 pm
Newsgroups: sci.math
From: Chip Eastham <hardm...@gmail.com>
Date: Fri, 20 Nov 2009 11:04:12 -0800 (PST)
Local: Fri, Nov 20 2009 7:04 pm
Subject: Re: at least one real solution
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On Nov 20, 9:20 am, KY <wkfkh...@yahoo.co.jp> wrote:

> Let k and K be real numbers for which the equation
>  x^4 + K*x^3 + k*x^2 +K*x + 1=0
>       has at least one real solution.

> if and only if ____________.
> (condition of k,K)

If k and K are real numbers,
x^4 + K*x^3 + k*x^2 + K*x + 1 = 0
has at least one real solution
<==> |K| + sqr(K^2-4k+8) >= 4.

regards, chip


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Kook spotter  
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 More options Nov 21 2009, 8:31 am
Newsgroups: sci.math
From: "Kook spotter" <wtf...@yahoo.co.jp>
Date: Sat, 21 Nov 2009 00:31:17 -0800
Local: Sat, Nov 21 2009 8:31 am
Subject: Re: at least one real solution
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fuck off, impotent jap faggot.


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Bill Dubuque  
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 More options Nov 21 2009, 3:45 pm
Newsgroups: sci.math
From: Bill Dubuque <w...@nestle.csail.mit.edu>
Date: 21 Nov 2009 10:45:35 -0500
Local: Sat, Nov 21 2009 3:45 pm
Subject: Re: at least one real solution
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Tonico <Tonic...@yahoo.com> wrote:
> On Nov 20, 4:20 pm, KY <wkfkh...@yahoo.co.jp> wrote:

>> Let k and K be real numbers for which the equation
>>  x^4 + K*x^3 + k*x^2 +K*x + 1=0
>>       has at least one real solution.
>> if and only if ____________ (condition of k,K)

> What isn't clear with Dirk's excellent answer? Pay attention,
> here's for you once again:

> "If and only if everyone maKes his own homeworK."

I doubt this is homework. Rather KY seems to have recently gained
free access to Mathematica (probably via Wolfram Alpha) and he is
simply generating problems using it. Apparently he's suffering
from the common initial marvel of computer algebra systems, i.e.
admiring them simply for their brute-force.

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