How can you solve non-polynomial equations using MATLAB?

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SUMMARY

The discussion focuses on solving non-polynomial equations using MATLAB, specifically the equation f(n) = 40*n^1.5 - 875*n + 35000. The user highlights the challenge posed by non-integer exponents, which are not typical in polynomial equations. However, the solution is straightforward with MATLAB's Symbolic Math Toolbox. By using the 'syms' command and the 'solve' function, users can effectively find solutions, which in this case yield complex results.

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I have a function : f (n)=40*n^1.5-875*n+35000;

How can i solve this equation with MATLAB. I know how to solve polynomial equation but this is different i think.
 
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This is not a polynomial because your exponents are not all natural numbers.

Fortunately MATLAB doesn't have a problem with this and you can solve without much thought using the Symbolic Math Toolbox:

Code: 
>> syms n
>> solve(40*n^1.5 - 875*n + 35000);
>> double(ans)
ans =
  1.0e+002 *
   3.8402 + 0.0000i
   0.6269 - 0.0000i
 

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