solution of a polynomial equation.

i have three set of polynomial equations

 x^3+x*y^2+y^2*z=9
 x*y*z+y^3+x*z^2=2
 x+z*x^2+y*z^2=5

i need to find x,y,z....how can i find??please help

[Walter Roberson]

There are 24 sets of solutions, two of which are real-valued.

Answer 1

[Torsten]

help fsolve

Best wishes

Torsten.

[shouvik dey]

first of all thank u for ur reply.....lately i have been trying to solve my problem using fsolve but it is not giving me satisfactory results ....i guess it's because of initial solution condition that i have to take ....so can u give me any advice about how to take the initial solution to get my solution.....

[Walter Roberson]

Are you restricting to real-valued solutions, or are you permitting complex values? If you are permitting complex values then fsolve would apparently not handle them properly until roughly R2016a (I would need to check the exact release.)

Answer 2

[KSSV]

syms x y z
eqn(1) = x^3+x*y^2+y^2*z==9
eqn(2) = x*y*z+y^3+x*z^2==2 
eqn(3) = x+z*x^2+y*z^2==5

sol = solve(eqn,x,y,z)

[shouvik dey]

i tried to copy and pest the code in matlab.. its not working....but thank you for your time....

[Walter Roberson]

You probably do not have the symbolic toolbox installed or licensed.