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Re: Problem with Solve and NSolve

On 29 Oct 2011, at 13:10, Daniel Lichtblau wrote:

> W|A is (probably) using FindRoot in clever ways. You can get solutions
> in a similar manner.

Wolfram Alpha certainly uses Reduce (or Solve) to solve non-algebraic equations,  e.g. try

WolframAlpha["Solve[x Exp[x] == 2 Sin[x]&&Abs[x]<=10,x]"]  in Mathematica (or directly in a browser).

It will show real roots only but if you ask for more you also get the complex ones. If you do not give a bounding condition it will choose one by itself

WolframAlpha["Solve[x Exp[x] == 2 Sin[x],x]"]

and asssume that you want only real roots. I don't see any evidence that it "is using FindRoot in clever ways".

Andrzej Kozlowski

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