Xavierholdings1idn
Answered

IDNLearn.com offers a unique blend of expert answers and community-driven knowledge. Ask your questions and get detailed, reliable answers from our community of knowledgeable experts.

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 :

Abidemiokinidn

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 presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thanks for visiting IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more helpful information.