How to solve 6 nonlinear coupled equations with 6 unknowns by MATLAB?

Dear All, I would like to solve following equations by MATLAB. What would be the code?

x(2) +x(3) +x(5) +x(6) -6;
2*x(1) + 2*x(4) + 4*x(5) -12;
x(2) + 2*x(3) + x(4) - 6.5468;
1.280*x(4)*x(5)*(x(1)+x(2)+x(3)+x(4)+x(5)+1)-x(1)^3*x(2);
2.152*x(2)*x(4)-x(1)*x(3);
2.614*x(4)*(x(1)+x(2)+x(3)+x(4)+x(5)+1)-x(1)*x(2);

Answer 1

[Torsten]

help fsolve

Best wishes

Torsten.

[MJTHDSN]

Dear Matlabers,

I have a similar question. FSOLVE help didn`t really help me.

Let`s assume the equations as below:

SN = rnd(5,1); a = SN(1); b = SN(2); c = SN(3); d = SN(4); e = SN(5); f = SN(6);

eq1 = a*((x(1)^2)*(x(2)^2)+(x(1)^2)*(x(3)^2)-2*x(1)*(x(2)^2)+(x(2)^2))-((x(1)^2)*(x(4)^2)-2*x(1)*(x(4)^2)+(x(4)^2)-(2*x(1)*x(4)*x(5))+(x(4)*x(5))+(x(5)^2)) == 0;

eq2 = b*((x(1)^2)*(x(2)^2)+(x(1)^2)*(x(3)^2)-2*x(1)*(x(2)^2)+(x(2)^2))-((x(1)^2)*(x(4)^2)+(2*x(1)*x(4)*x(5))+(x(5)^2)) == 0;

eq3 = c*((x(1)^2)*(x(2)^2)+(x(1)^2)*(x(3)^2)-2*x(1)*(x(2)^2)+(x(2)^2))-((x(4)^2)+(2*x(4)*x(5))+(x(5)^2)) == 0;

eq4 = d*((x(1)^2)*(x(2)^2)+(x(1)^2)*(x(3)^2)-2*x(1)*(x(2)^2)+(x(2)^2))-((x(1)^2)*(x(4)^2)-2*x(1)*(x(4)^2)+ (x(4)^2)-(2*x(1)*x(4)*x(5))-(x(4)*x(5))+(x(5)^2)) == 0;

eq5 = e*((x(1)^2)*(x(2)^2)+(x(1)^2)*(x(3)^2)-2*x(1)*(x(2)^2)+(x(2)^2))-((x(1)^2)*(x(4)^2)-(2*x(1)*x(4)*x(5))+(x(5)^2)) == 0;

eq6 = f*((x(1)^2)*(x(2)^2)+(x(1)^2)*(x(3)^2)-2*x(1)*(x(2)^2)+(x(2)^2))-((x(4)^2)-(2*x(4)*x(5))+(x(5)^2)) == 0;

here, a,b,c,d,e,f are numbers (0.43 for example). For now I consider them as SN(i):

I want to find x(1),...,x(5) values.

I have tried many ways but no solution was found.

Can you help me with my problem?

Best