Solution to a simple equation

Hello all,

I am trying to find a solution to a simple problem, the solution exist but I am unable to get it in the correct format

clear all; close all;
syms R L C omega real

eqn=1 - 2*C*L*omega^2 + C^2*R^2*omega^2 + C^2*L^2*omega^4 == 0

R_soln=solve(eqn,R)

I expect a solution for 'R' by moving all the terms to RHS, and in terms of omega, C, L

However I get the following answer

R_soln =

Empty sym: 0-by-1

This has happened many times before, I am trying to understand why solve cannot give me a solution.

[RAN]

I got the solution to the problem mentioned, but I cant get it in the format I want.

Since I have explicitly defined the variables as real, Matlab tries to find a real solution which does not exist.

The following works:

clear all; close all;
syms R L C omega
eqn=1 - 2*C*L*omega^2 + C^2*R^2*omega^2 + C^2*L^2*omega^4 == 0
R_soln=solve(eqn,R)

However I just want to rearrange the equation to get all the terms ot RHS except for R.

Any idea how to do it?

Answer 1

[Stephan]

use isolate instead of solve:

clear all; close all;
syms R L C omega
eqn=1 - 2*C*L*omega^2 + C^2*R^2*omega^2 + C^2*L^2*omega^4 == 0

 
eqn =
 
C^2*L^2*omega^4 + C^2*R^2*omega^2 - 2*C*L*omega^2 + 1 == 0
 

R_soln=isolate(eqn,R)

 
R_soln =
 
R == ((C*L*omega^2 - 1)*1i)/(C*omega)