xavierholdings1
Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Evaluate (10 – 4i) ÷ (5 + i).
Fifty-four twelfths minus fifteen twelfths i
Twenty-three twelfths minus fifteen twelfths i
Fifty-four thirteenths minus fifteen thirteenths i
Twenty-three thirteenths minus fifteen thirteenths i

Sagot :

abidemiokin

The quotient of the given complex number is 7/13 - 15/13i


Division of Complex number

Given the division expression

(10 – 4i) ÷ (5 + i).

This can also be expressed as:

10-4i/5+i

On rationalizing, we will have:

10-4i/5+i * 5-i/5-i

50-10i-20i-4(-1)/25-(-1)

50-30i+4/26

54-30i/26

27/13 - 15/13i

Hence the quotient of the given complex number is 7/13 - 15/13i

Learn more on quotient of complex number here: https://brainly.com/question/28007375

#SPJ1

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.