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#1 2008-09-05 00:32:52
- tony123
- Member
- Registered: 2007-08-03
- Posts: 229
Solve
Solve the equation
Last edited by tony123 (2008-09-05 00:34:28)
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#2 2008-09-05 12:06:35
- krassi_holmz
- Real Member
- Registered: 2005-12-02
- Posts: 1,905
Re: Solve
hm interesting, but i'm stuck.
first of all, notice this (it may actually be the key to the problem if someone uses some strange trigonometric identities):
now, let:
0<y<1 (i like the open intervals)
the equation bacomes
Now, this has a root in the interval we wanted (because of the signs at 0 and 1), but I don't know how to find it analytically...
Actually, plying whit it a little, I noticed that z = -1/4 is a solution to
blah, surely the solution will be some involving tirgonommetric identities.
IPBLE: Increasing Performance By Lowering Expectations.
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#3 2008-09-07 08:24:51
- cushydom
- Member
- Registered: 2008-04-23
- Posts: 10
Re: Solve
Setting cos(x)=i/sqrt(6) works. Not sure for the real value(s) tho.
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#4 2008-09-07 11:51:45
- krassi_holmz
- Real Member
- Registered: 2005-12-02
- Posts: 1,905
Re: Solve
Noop. Plugging in gives 11/46656, not 1/46656, but this is something useful:
the solution of
is given by:
Last edited by krassi_holmz (2008-09-07 11:52:33)
IPBLE: Increasing Performance By Lowering Expectations.
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#5 2008-09-08 05:05:17
- sa
- Guest
Re: Solve
thats,over my back.