MATLAB: Solve, command reveals solution for each part of the polynomial

solve variable for 0

Hi I am using this http://uk.mathworks.com/help/symbolic/solve.html
however the solution presented is for each part of the polynomial:
>> solve((1211*x^6)/2500 + (9953*x^5)/10000 + (193*x^4)/125 - (681*x^3)/200 - (9549*x^2)/10000 + (3117*x)/1000 + 304/25 == 0,x) 
ans =
   root(z^6 + (9953*z^5)/4844 + (3860*z^4)/1211 - (17025*z^3)/2422 - (9549*z^2)/4844 + (15585*z)/2422 + 30400/1211, z, 1)
   root(z^6 + (9953*z^5)/4844 + (3860*z^4)/1211 - (17025*z^3)/2422 - (9549*z^2)/4844 + (15585*z)/2422 + 30400/1211, z, 2)
   root(z^6 + (9953*z^5)/4844 + (3860*z^4)/1211 - (17025*z^3)/2422 - (9549*z^2)/4844 + (15585*z)/2422 + 30400/1211, z, 3)
   root(z^6 + (9953*z^5)/4844 + (3860*z^4)/1211 - (17025*z^3)/2422 - (9549*z^2)/4844 + (15585*z)/2422 + 30400/1211, z, 4)
   root(z^6 + (9953*z^5)/4844 + (3860*z^4)/1211 - (17025*z^3)/2422 - (9549*z^2)/4844 + (15585*z)/2422 + 30400/1211, z, 5)
   root(z^6 + (9953*z^5)/4844 + (3860*z^4)/1211 - (17025*z^3)/2422 - (9549*z^2)/4844 + (15585*z)/2422 + 30400/1211, z, 6)
 whereas I want a single X value  for y  = 0
Will someone tell me the correct command?
g.

Best Answer

There are no real roots.
You can ask for a "single" X value that works, but no matter what you do, you cannot make magic, unless of course, your name is Harry Potter. It might be, I guess. He did leave Hogwarts.
I suppose that possibly your question is really how to turn that mess into actual umbers. If so, just use vpa.
syms x
r = solve((1211*x^6)/2500 + (9953*x^5)/10000 + (193*x^4)/125 - (681*x^3)/200 - (9549*x^2)/10000 + (3117*x)/1000 + 304/25 == 0,x);
vpa(r)
ans =
  - 1.3989312138161239546724799986628 + 1.9811978680634290116114610605855i
  - 1.3989312138161239546724799986628 - 1.9811978680634290116114610605855i
 - 0.92035026602535783679025120533384 - 1.0426356256188857001302004733061i
 - 0.92035026602535783679025120533384 + 1.0426356256188857001302004733061i
   1.2919280529215808831225165054004 - 0.73309990384079756483990991478414i
   1.2919280529215808831225165054004 + 0.73309990384079756483990991478414i
Feel free to pick any of those complex roots.
Mathematics can be cruel. It refuses to do what you want, instead, doing what it wishes, blithely ignoring the needs of others. :)
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