Question: I need help with these complex number math questions 4. Prove each of the following, where ze C. a) + Z NIIH is purely real.

I need help with these complex number math questions

4. Prove each of the following, where ze C. a) + Z NIIH is purely real. b) z2 - z is purely imaginary. 5. Prove each of the following for z, WE C. a) lz+ w/2 + 1z- w/2 = 2 (1212 + 1 212). b) If |z|2 = Re(z) then z- NIH = NIH

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