Solving equation in Mathematica

[EngWiPy]

Hello,

I have the following code to find the parameters Na and Q that make the expression equals $$10^{-10}$$:

Na =.;
Q =.;
MGF[s_, gC_] := 1/(1 - gC*s);
SNRdB = 0;
SNR = 10^(SNRdB/10);
gC = 0.5*SNR;
p = gA*gB;
A = 23;
Solve[((E^(A/2)*2^-Q)/SNR \!\(
\*UnderoverscriptBox[\(\[Sum]\), \(q = 0\), \(Q\)]\(-
\*SuperscriptBox[\(1\), \(Na + q + 1\)]\)*Binomial[Q, q]*Re[
\*FractionBox[\(MGF[\(-
\*FractionBox[\(A + \((2*Pi*I \((Na + q + 1)\))\)\), \(2\ SNR\)]\), 
          gC]\), 
FractionBox[\(A + 2*Pi*I \((Na + q + 1)\)\), \(2\ SNR\)]]]\)) == 
   10^-10, {Na, Q}]

But it doesn't work? Anyone have any idea about how solving this equation?

Thanks in advance

 

[Dale]

There are not analytical solutions for all equations. Functions like Solve, Reduce, DSolve, etc. will not always be able to find a solution. In such cases you can only find numerical solutions using e.g. FindRoot.

 

[EngWiPy]

There are not analytical solutions for all equations. Functions like Solve, Reduce, DSolve, etc. will not always be able to find a solution. In such cases you can only find numerical solutions using e.g. FindRoot.

Thanks DaleSpam for replying,

So, you are saying that If I replace the "Solve" command by "FindRoot", I may get a result?

Regards

 

[Dale]

The syntax for FindRoot is a little different than for Solve. You should use the help menu to find the new syntax and some examples.

 

[EngWiPy]

The syntax for FindRoot is a little different than for Solve. You should use the help menu to find the new syntax and some examples.

Ok, I will. Thanks again