21. Given that z is a complex number satisfying |2z - 1|=|z2|, prove that |z| = 1 by:(a) letting z = x+iy,(b) squaring the equation and then using the result |z|2= zz.

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Answered: 21. Given that z is a complex number…

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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21. Given that z is a complex number satisfying |2z - 1|=|z2|, prove that |z| = 1 by: (a) letting z = x+iy, (b) squaring the equation and then using the result |z|2= zz.