Having trouble to solve equations

E=1.42;
x=sym('x%d',[1,3]);
a=((E+x(1))*0.1+(-x(2)-7*x(3))*(((E+x(1))*(E+x(1))*(E+x(1))*(E+x(1)))/(((E+x(1))*(E+x(1))*(E+x(1))*(E+x(1)))+1)))*(1-x(1))-0.1*x(1);
b=((1+x(2))*0.1+x(1)*(((1+x(2))*(1+x(2))*(1+x(2))*(1+x(2)))/(((1+x(2))*(1+x(2))*(1+x(2))*(1+x(2)))+1)))*(1-x(2))-0.1*x(2);
c=((1+x(3))*0.1+23*x(1)*(((1+x(3))*(1+x(3))*(1+x(3))*(1+x(3)))/(((1+x(3))*(1+x(3))*(1+x(3))*(1+x(3)))+1)))*(1-x(3))-0.1*x(3);
[solutions_x1, solutions_x2, solutins_x3] = solve(a == 0, b == 0, c == 0, x(1), x(2), x(3))

This is the code that I am trying to run in order to find the respective solutions but MATLAB is taking forever to give an answer. May I know how to find the solutions in MATLAB? Can anyone help me out?

Answer 1

[madhan ravi]

Use fsolve():

E=1.42; 
F=@(x)[((E+x(1))*0.1+(-x(2)-7*x(3))*(((E+x(1))*(E+x(1))*(E+x(1))*(E+x(1)))/(((E+x(1))*(E+x(1))*(E+x(1))*(E+x(1)))+1)))*(1-x(1))-0.1*x(1);
  ((1+x(2))*0.1+x(1)*(((1+x(2))*(1+x(2))*(1+x(2))*(1+x(2)))/(((1+x(2))*(1+x(2))*(1+x(2))*(1+x(2)))+1)))*(1-x(2))-0.1*x(2);
  ((1+x(3))*0.1+23*x(1)*(((1+x(3))*(1+x(3))*(1+x(3))*(1+x(3)))/(((1+x(3))*(1+x(3))*(1+x(3))*(1+x(3)))+1)))*(1-x(3))-0.1*x(3)];
x=fsolve(F,[0;0;0])

[Debanita Das]

Thank you Sir for your response.

I have tried this code and it yields only one set of ans but it has more number of roots. How do I find it?

[madhan ravi]

Try changing the initial guess.

[Debanita Das]

Thank you Sir for your response

It worked. Thank you for your hep.