Math, asked by tdrnp5246, 1 day ago

compute z=(5+i)/(3-i)+(2)/(1-3i)

Answers

Answered by rammohanvegi

2

Answer:

=17÷10+(7÷5)i

Step-by-step explanation:

z=(5+i)/(3-i)+2/(1-3i)

=[(5+i)(1-3i)+2(3-i)]÷(3-i)(1-3i)

=[5-15i+i-3i^2+6-2i]÷3-9i-i+3i^2

(i^2=-1)

=[5-17i+3+6]÷3-3-10i

=[14-17i]÷-10i

=-[17i-14]÷-10i

=[17i-14]÷10i

=[17i+14i^2]÷10i

=17i÷10i+14i^2÷10i

=17÷10+(7÷5)i

Previous Question

Next Question

Similar questions

English, 16 hours ago

what reason for the article can you remember for animal live in cities...

English, 16 hours ago

Suman has changed her old horse...

Chemistry, 16 hours ago

A student makes a glass of squash by adding water to the squash. Has a chemical reaction taken place? Explain your answer.

Physics, 1 day ago

please answer the given ques no spam please...

Math, 1 day ago

Sumit has 50 books, out of which 30% are English books. How many books are English books?

Math, 8 months ago

simplify (-2/5)^3 *(-2/5^4)...

History, 8 months ago

The P.R.C.Since the 1980'shas welcomed the foreign investment of hundred of billions of(U.S.A) dollars from countries that are their ideological oppenents. 1.How did China become one of the largest economy of world? 2.Trace the balance between free enterprises and central planning from 1945 to 1993 in china. 3. Identify the nature of socialist state of china...

History, 8 months ago

D. State True or False 1. The Indian historians categorised the history of India on the basis of religion 2. The British survey records are not sufficient to know about the colonial period 3. Dates put the events of history in the sequence of their occurrence 4. The British came as a trading company in India 5. The National Museum of India treasure on paintings. Very short answer questions:...