On Thursday, March 15, 2018 at 10:23:44 PM UTC, saad khalid wrote:
>
> I have to apologize, I gave a slightly incorrect Mathematica code earlier, 
> the actual code was:
>
> Solve[ Exp[-2*a*x]-1+4*a*x==0,x]//N
>
> The earlier code gave the wrong answer. Anyways:
>
> it could be a different function, which potentially would run much longer, 
>> by repetitive splitting of the interval
>> (I guess that's what Mathematica is doing)  
>>
>
> There appear to be 2 main solving functions in Mathematica, "Solve" and 
> "Reduce," the differences are explained in this well written answer:
>
> https://mathematica.stackexchange.com/questions/17127/what-is-the-difference-between-reduce-and-solve
>
> What is the result of such a Mathematica command on an example with 
>> infinitely many roots given in this thread?
>
>
>
> So, the Solve function doesn't find any it seems but it tells you to use 
> the Reduce function, which I think does give all the solutions. 
>

OK, that was too easy, as there was an exact symbolic solution.
How about solving sin(1/x)==x on [-1,1] instead?
 

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