       [Q] Solve?

• To: mathgroup at smc.vnet.net
• Subject: [mg23408] [Q] Solve?
• From: research at proton.csl.uiuc.edu (James)
• Date: Sat, 6 May 2000 19:14:15 -0400 (EDT)
• Organization: University of Illinois at Urbana-Champaign
• Sender: owner-wri-mathgroup at wolfram.com

```
Hi!

I come across a problem that I don't understand.
I generate systems of equations
and try to solve them using mathematica.
For example,

---------------------------------------------------------------
In= Solve[((4/2)*( 1.50*z+ 2.00)+(4-4/2)*
Sqrt[( 1.50*z+ 0.00)^2+ 4.00]) +
((4/2)*( 1.50*z+ 2.00)+(4-4/2)*
Sqrt[( 1.50*z+ 0.00)^2+ 4.00])- 8.10*z==0, z]

Out= {}
---------------------------------------------------------------

But mathematica can't solve it, simply returing empty.
This equation can be solved, though, as you see.
I restarted mathematica to run again, but it doesn't help.

The weird thing is some equations are solved, like the below.
---------------------------------------------------------------
In= Solve[((4/2)*( 1.50*z+ 2.00)+(2-4/2)*
Sqrt[( 1.50*z+ 0.00)^2+ 4.00]) +
((4/2)*( 1.50*z+ 2.00)+(3-4/2)*
Sqrt[( 1.50*z+ 0.00)^2+ 4.00])- 8.10*z==0, z]

Out= {{z->13.4976}}
---------------------------------------------------------------

What's wrong with it and how can I solve it?
I need to use mathematica, because the number of the systems
of equations are large.
(Please disregard any redundunt terms in the equations..
they are generated by a program.)
With that, when does mathematica return '{}' as an answer?
Thank you.

--- James, newbie in mathematica.

```

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