Merry Christmas! Can somebody help me with this equation? Thank you!

*To*: mathgroup at smc.vnet.net*Subject*: [mg72395] Merry Christmas! Can somebody help me with this equation? Thank you!*From*: kaipku at gmail.com*Date*: Mon, 25 Dec 2006 04:52:16 -0500 (EST)

Hi, I encountered an equation, z^6*q^2-4*z^5*cosk*q^2+(2*cosk^2*q+2*q^2+3*cosk^2*q^2)*z^4+(-2*cosk*q^2-2*cosk^3*q-2*cosk*q-2*cosk)*z^3+(3*cosk^2+2+2*cosk^2*q)*z^2-4*cosk*z+1=0 where 0<=q<1 and -1< cosk <1 are parameters. I heard mathematica do very well on symbolic calculations. Can somebody help me to solve this equation in z? Thanks a tonï¼?