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Application of De-Moivre's Theorem
4 months ago
Sir,in the last qs can we think like this?the eqn has z^10...so it has 10 roots ...now all the 10 roots are equispaced on the circumference of the circle.So,5 roots must be placed on the +ve side and the other 5 on the -ve side.Thus,number of roots with real part -ve =5 and number of roots with real part +ve=5 .Also,can a complex no.have two same roots...like in case of perfect squares?