Find all complex numbers z that satisfy the equation z5 -z = 0, showing all the work required to find them. Provide a large, clear sketch of where your answers are on the complex plane. State your final list of solutions in both polar and standard form, making sure to very clearly indicate your final answers (such as by highlighting or drawing a box around them).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find all complex numbers z that satisfy the equation z5 – z = 0, showing all the work required to find them.
Provide a large, clear sketch of where your answers are on the complex plane.
State your final list of solutions in both polar and standard form, making sure to very clearly indicate your
final answers (such as by highlighting or drawing a box around them).
Transcribed Image Text:Find all complex numbers z that satisfy the equation z5 – z = 0, showing all the work required to find them. Provide a large, clear sketch of where your answers are on the complex plane. State your final list of solutions in both polar and standard form, making sure to very clearly indicate your final answers (such as by highlighting or drawing a box around them).
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