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Re: How to get an answer as a Root object?
 To: mathgroup at smc.vnet.net
 Subject: [mg57145] Re: How to get an answer as a Root object?
 From: "Valeri Astanoff" <astanoff at yahoo.fr>
 Date: Thu, 19 May 2005 03:08:12 0400 (EDT)
 References: <d6bv8r$pcu$1@smc.vnet.net>
 Sender: ownerwrimathgroup at wolfram.com
The trouble is the derivative being infinite at the solution.
I use that trouble to find the solution :
In[1]:=f[s_]:=
(1+Sqrt[2]Sqrt[(1+2*Sqrt[2]s)*(1+s)]+s)*(1Sqrt[2]+Sqrt[2]*s
Sqrt[12*Sqrt[2]+2*(2+Sqrt[2]s)*s])(1Sqrt[2]+Sqrt[2]*s+
Sqrt[12*Sqrt[2]+2*(2+Sqrt[2]s)*s])*(22*Sqrt[2]+2*s+2*
Sqrt[1(1/4)*(1Sqrt[2]+Sqrt[(1+2*Sqrt[2]s)*(1+s)]+s)^2])
In[2]:=Select[s /. Solve[Numerator[Together[1/f'[s]]] == 0], 2 < # < 3
&] // Simplify
Out[2]= 2 + 1/Sqrt[2]
In[3]:= % // N
Out[3]= 2.70711
That's not what you asked for but that's all I can do!
v.a.
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