If $x, y, z$ are complex numbers, how can I solve this system of equations \begin{cases} x(x-y)(x-z)=3;\ \\y(y-z)(y-x)=3;\ \\z(z-x)(z-y)=3. \end{cases}
How can I solve a system of equations?
2
$\begingroup$
algebra-precalculus
complex-numbers
-
2I guess you should divide first equation by the second one,the second one by the third one...etc – 2011-12-01
-
0I have tried, however I can not get conclusion. – 2011-12-01
-
0,I don't see any other approach to this problem... – 2011-12-01
-
0The answer consists of the roots of the equation $z^3=1$. – 2011-12-01