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.
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!
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
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
