Complex numbers in the form a+bi

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Homework Help Overview

The discussion revolves around solving the equation 1/z = -4 + 4i, specifically focusing on the representation of complex numbers in the form a + bi. Participants are examining the correctness of a solution and the format in which the answer should be presented.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to solve for z by multiplying by the conjugate of the denominator and expresses concern over the correctness of their answer. Some participants suggest that the answer is indeed correct but may need to be reformatted. Others question the necessity of expressing the result in a specific form.

Discussion Status

Participants are actively discussing the representation of the answer, with some asserting that the original poster's result is correct. There is a suggestion to present the answer in a different numerical format, indicating a productive direction in the conversation.

Contextual Notes

There is mention of an online quiz that may have discrepancies, leading to confusion regarding the correctness of the solution. The requirement to express complex numbers in a specific format is also under discussion.

53Mark53
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Homework Statement



How would I go about solving 1/z=(-4+4i)

The answer that I keep on getting is wrong

The Attempt at a Solution


[/B]
What I did

z=1/(-4+4i)x(-4-4i)/(-4-4i)

z=(-4-4i)/(16+16i-16i-16i^2)

z=(-4-4i)/32

z=-1/8-i/8

This is the answer that I got however it says that it is wrong. I am unsure what else I can do

Thanks for any help
 
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53Mark53 said:

Homework Statement



How would I go about solving 1/z=(-4+4i)

The answer that I keep on getting is wrong

The Attempt at a Solution


[/B]
What I did

z=1/(-4+4i)x(-4-4i)/(-4-4i)

z=(-4-4i)/(16+16i-16i-16i^2)

z=(-4-4i)/32

z=-1/8-i/8

This is the answer that I got however it says that it is wrong. I am unsure what else I can do

Thanks for any help
Your result is right, but you might write it in the form ##-\frac{1}{8}- \frac{1}{8} i##
 
ehild said:
Your result is right, but you might write it in the form ##-\frac{1}{8}- \frac{1}{8} i##
Thanks! I thought I was right, the online quiz that we have must have a mistake then
 
Complex numbers ##z##, have to be expressed in the form ##z= a+bi##, where ##a, b##, are real numbers, this was missing in your solution, the ##"i"##
 
chwala said:
Complex numbers ##z##, have to be expressed in the form ##z= a+bi##, where ##a, b##, are real numbers, this was missing in your solution, the ##"i"##
No, it was there. This is what the OP wrote:
z=-1/8-i/8
 
53Mark53 said:
Thanks! I thought I was right, the online quiz that we have must have a mistake then
Maybe you should write 0.125 instead of 1/8.
 

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