Problem 2. Find analytically all complex roots 3. Show all your work. Get Matlab to display...

Question

Question

Problem 2. Find analytically all complex roots 3. Show all your work. Get Matlab to display these roots as red circles in the complex plane.

Answer 1

Answer #1

The complex roots are the ones that satisfy r-3. They are given by

2ni+0/5-31/5

π2+1/5

TH2/ 5

31/5 × є2ni+3/5

2tis4/5

That is 31/5multiplied by fifth roots of unity

Note that y = y 1 1/5 satisfies u5

CODE:

FIGURE:

THEY FORM A PENTAGON, INFACT INSIDE A CIRCLE OF RADIUS

Answer 2

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