Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. poducts  z1 and z2 as a z1=5+3i and z2=4-2i, writ

Poducts  z1 and z2 as a z1=5+3i and z2=4-2i, write the following in the form...

Free

80.2K

Verified Solution

Question

Advance Math

Poducts  z1 and z2 as a z1=5+3i and z2=4-2i, write the following in the form a+bi

Answer & Explanation Solved by verified expert
3.7 Ratings (382 Votes)

Given

z1=5+3i 

z2? =4?2i 

 

x=4? z1+6? z2

?

  

x=4? (5+3i)+6? (4?2i) 

x=20+12i+24?12i 

x=(20+24)+(12?12)i 

x=44

y=z1? z 2

?

  

y=(5+3i)? (4?2i) 

=5? 4+5? (?2i)+3i? z 1

?=5+3i 

z 2

=4?2i 

 

x=4? z 1+6? z 2

?x=4? (5+3i)+6? (4?2i) 

x=20+12i+24?12i 

x=(20+24)+(12?12)i 

x=44

y=z 1? z2

?

  

y=(5+3i)? (4?2i) 

5? 4+5? (?2i)+3i? 4+3i? (?2i) 

y=20?10i+12i?6i²

  

y=20?10i+12i+6 

y=20+6+i(?10+12) 

y=26+2i

? (?2i) 

y=20?10i+12i?6i²

  

y=20?10i+12i+6 

y=20+6+i(?10+12) 

y=26+2i

 
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Advance Math
1.2K views

Let ? be a root of x^2 +1 ? Z3[x]. Show that Z3(?) = {a+b?...

Biology
1.2K views

ognitive skill interpret 11 A patient in scenario 1 asks the nurse what would be...

Biology
1.2K views

phatic tem A preparation of dead or weakened pathogens that is introduced into the body...

Physics
1.2K views

A capillary of radius r 0 2 mm is dipped vertically in a liquid of...

Physics
1.2K views

A particle executes linear simple harmonic motion with an amplitude of 3 cm When the...

Geometry
1.2K views

Find the length of JM JM G H 12 10 K 15 M N

Geometry
1.2K views

23 A surveyor knows that a lot has the shape of an isosceles triangle If...

Basic Math
1.2K views

Solve the proportion you found in the previous exercise.A. about 17.5 milesB. about 0.057 milesC....

Accounting
1.2K views

Access the Accounting Standards Codification and.determine the specific citation for each of the following items:...

Accounting
1.2K views

The Haskins Company manufacturs and sells radios. The Haskins Company expects to sell 25,100 units...

Finance
1.2K views

Taggart Transcontinental is considering a $250 million investment to launch a new rail line. The...

Finance
1.2K views

8. Pure expectations theory The pure expectations theory, or the expectations hypothesis, asserts that long-term...