What is z if z/2 + 3=z'/3 - 2? z complex number

Expert Answers

An illustration of the letter 'A' in a speech bubbles

As z is a complex number let it be x + yi. z' = x - yi.

If z/2 + 3=z'/3 - 2

=> (x + yi)/2 + 3 = (x - yi)/3 - 2

=> (x + yi)/2 - (x -yi)/3 = -5

=> x/2 - x/3 - i( y/2 - y/3) = -5

=> x/2 - x/3 = -5

=> (3x - 2x)/6 = -5

=> x = -30

y = 0 as there is no imaginary component on the opposite side.

Therefore z = -30

Approved by eNotes Editorial Team
Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial