Expression Help: Simplifying (10 + 5i) / (2 - i)

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Homework Help Overview

The discussion revolves around simplifying the expression (10 + 5i) / (2 - i) into the form x + y*i, focusing on complex numbers and their manipulation.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the method of rationalizing the denominator by multiplying by the complex conjugate. There is also a mention of uncertainty regarding the textbook's lack of an answer.

Discussion Status

Some participants have provided answers, and there is a sense of encouragement to attempt the problem despite initial uncertainty. However, no explicit consensus on the correctness of the answers has been reached.

Contextual Notes

There is a reference to the textbook not providing an answer, which may influence participants' confidence in their solutions.

Hollysmoke
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Express (10 + 5i) / (2 - i) in the form x + y*i.

Not sure what to do and I was wondering if I could get some help :S
 
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Yep, you start by multiplying the numerator and denominator by the complex conjugate of the denominator. This is called rationalizing the denominator.
 
My textbook doesn't have the answer for the question...
 
Ooookaaaay, but that doesn't mean you can't do the problem. give it a shot and let's see what you come up with.
 
I got 3+4i for the answer.
 
Hollysmoke said:
I got 3+4i for the answer.
Correctomundo! Remember that trick that Tom reminded you of -- you'll use it a lot.
 
Sweeeet! Thanks ^^
 

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