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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?