What is #z + bar z = 3# ?

1 Answer
Cesareo R.
Nov 9, 2017

See below.

Explanation:

Assuming that the equation reads

#z + bar z = 3# where #bar z # means #z# conjugate, we have

#z = x + i y# and #bar z = x - iy# then

#z+bar z = x+iy + x - iy = 2x = 3 rArr x = 3/2 forall y in RR#

so in the complex plane #z + bar z= 3# represents a vertical line parallel to the #iy# axis and passing by #3+i0#

Related questions
Impact of this question
256 views around the world
You can reuse this answer
Creative Commons License