1. Construct the multiplication table for the the group U5 ={1,a,a²,a³, aª}where a2ni= e5.2. Give all the elements of Ug and write them in rectangular form. Draw theregular octagon in the complex plane whose vertices are the elements of Ug.3. Use Cardano's method to solve the equation x3 – 6x – 9 = 0. Write the rootsin rectangular form.

As per the company rule, we are supposed to solve one problem, from a set of multiple problems.…

Answered: 1. Construct the multiplication table…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. Construct the multiplication table for the the group Us = {1,a, a“, a°, a*} %3D 2mi where a = es.