I can't run this function -nonlinear equation system

Hello!

My code is:

function F = root(x)
F(1) = ((1/((1/(32/(x(1)*60)))+(1/(1/((5.67E-08*60*(x(1)^2+353^2)*(x(1)+353))/(1/0.035+(60/57.7*(1/0.035-1))))))))*(x(1)-20) - (8/(0.082*57.7))*(353-x(1))); 
F(2) = ((1/((1/(32/(x(2)*60)))+(1/(1/((5.67E-08*60*(x(1)^2+353^2)*(x(1)+353))/(1/0.035+(60/57.7*(1/0.035-1)))))))) + (8/(0.082*57.7)))*(353-x(1)) - ((1/((1/(32/(x(2)*57.7))))+(1/(1/((5.67E-08*57.7*(x(1)^2+353^2)*(x(1)+353))/(1/0.035+(60/57.7*(1/0.035-1))))))))*(x(1)-20);
end

I am trying to solve this equation and it gives me the following error:

fun = @root;

x0 = [0,0];

x = fsolve(fun,x0)

Error using fsolve

Objective function is returning undefined values at initial point. FSOLVE cannot continue.

[Alex Sha]

There are multi-solutions:

No.	 x1	                 x2
1	352.707085204498	-0.0552273002006459
2	-1.40777299574092	-1.68141237126893
3	352.707085204514	-5.57004739748473

Answer 1

[Chunru]

fun = @root;
% Your function is not defined at [0,0]
root([0 0])

ans = 1×2

-604.5139 Inf

% Try a different initial points
x0 = [0.1,0.1];
x = fsolve(fun, x0)

Solver stopped prematurely.

fsolve stopped because it exceeded the function evaluation limit,
options.MaxFunctionEvaluations = 2.000000e+02.

x = 1×2

1.0e+06 * 0.0001 -2.8223

% Suggest to check the function definition to see if the problem is well
% defined

function F = root(x)
F(1) = ((1/((1/(32/(x(1)*60)))+(1/(1/((5.67E-08*60*(x(1)^2+353^2)*(x(1)+353))/(1/0.035+(60/57.7*(1/0.035-1))))))))*(x(1)-20) - (8/(0.082*57.7))*(353-x(1))); 
F(2) = ((1/((1/(32/(x(2)*60)))+(1/(1/((5.67E-08*60*(x(1)^2+353^2)*(x(1)+353))/(1/0.035+(60/57.7*(1/0.035-1)))))))) + (8/(0.082*57.7)))*(353-x(1)) - ((1/((1/(32/(x(2)*57.7))))+(1/(1/((5.67E-08*57.7*(x(1)^2+353^2)*(x(1)+353))/(1/0.035+(60/57.7*(1/0.035-1))))))))*(x(1)-20);
end