Root of exponential function not complete

I am trying to find the roots of the equation

exp(-0.5*x)-0.4/(1+0.5*x)

and with the following code, only one of the 2 roots is found:

 syms x
 eq1=exp(-0.5*x)-0.4/(1+0.5*x)==0;
 sol=solve(eq1,x);
 vpa(sol,6) 

 ans =
 -1.64929

But there is another root of this equation which is found using the fzero command

 eq1=@(x) exp(-0.5*x)-0.4/(1+0.5*x);
 sol=fzero(eq1,[-10 10]);
 vpa(sol,6)
 ans =4.04463

Again the given solution is only one of the 2. How can I get both of them at any time with one command? Thanks

Answer 1

[madhan ravi]

   syms x
   eq1=exp(-0.5*x)-0.4/(1+0.5*x)==0;
   fplot(exp(-0.5*x)-0.4/(1+0.5*x))     %always compare the result with the graph
   solution1=vpasolve(eq1,x,[-2 0])
   solution2=vpasolve(eq1,x,[0 5])
   grid on

[Needless Needless Also]

Thanks for answering, but vpasolve also gives only one solution, the same as fzero (4.0446). The -1.64929 is not found

[madhan ravi]

Did you see the graph it appears there’s only one solution right?

[Needless Needless Also]

Sorry, but I see two roots. Am I wrong?

[madhan ravi]

Ah i missed it

[madhan ravi]

See edited specify the intervals

[Needless Needless Also]

This works but, what about any other equation? Shouldn't it be a pretty simple task for MatLab to find the roots just with vpasolve(eq1,x)? Of course I can always check the graph but I think you get what I mean.

[madhan ravi]

Yes I know even I have thought about it ;) but yet no discernible idea in my mind though