How to solve equation by computer?

[Hemant Rupani]

Hi there,
I want to solve f(x)=0.9*exp(2000*x)+0.1*exp(15000*x)-5290*x-1 equation, by any computer package. I tried Excel Goal-Seek analysis, but it is not good for value near zero. so how can I solve this equation on my PC? what software I should use? and what are the steps to do?
Thanks!
Regards,

PS:- one root is zero , I want another root.

 

[maz1987]

I thnk x=0 is the only solution.

f(x) = exp(c*x) only has one root.

The same goes for f(x) = exp(c*x) + exp(k*x).

Including the 5290*x term doesn't change the number of roots, as it only affects the curve along the vertical plane, as does the -1 term.

So by my reckoning there is only one solution, which is x=0. It's been a while since I've had to think about these equations though!

 

[Hemant Rupani]

second solution is between 0.000094 and 0.0000945
f(0.000094)=-0.0015 and f(0.0000945)=0.000011
Source:- Q3.9 QA Bank 3 CT6

 

[tiger]

In excel->options->formula you can change maximum iterations and maximum change.
an easier solution is also to reformulate the problem so the solution is scaled up, and then goal seek e.g.
=0.9*EXP(2000*x/1e9)+0.1*EXP(15000*x/1e9)-5290*x/1e9-1

 

[Hemant Rupani]

Thanks tiger

 

[C2H6O]

Try this

http://www.wolframalpha.com/input/?i=0.9exp(2x)+++0.1exp(15x)+-+5.29x+-+1+=+0

 

[Hemant Rupani]

even better!!!!!

 

[didster]

looks like a candidate for excel challenge #3