10.6.15 Analytic functions

Problem: Using Rouche's theorem, find the number of roots of the equation in disk \( D(0 ; R) \). a) \( z^{8}-6 z^{6}-z^{3}+2=0, \quad R=1 \). b) \( 2^{z}=4 z, \quad R=1 \).