Imaginary numbers concept help

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Discussion Overview

The discussion revolves around the concept of imaginary numbers, specifically addressing a problem involving the manipulation of the equation xi = 90i. Participants explore the validity of mathematical steps taken and the interpretation of notation in a textbook context.

Discussion Character

  • Homework-related
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant expresses confusion about why they cannot multiply xi = 90i by i, leading to a conclusion of x = 90.
  • Another participant asserts that all steps in the manipulation are valid and questions the original poster's reasoning for thinking otherwise.
  • There is a suggestion that the notation "xi = 90i" may be misinterpreted, and a request for clarification through an image of the textbook is made.
  • A participant speculates that "xi" could be a typo or misrepresentation, suggesting it might be intended as a subscript notation instead.
  • Another participant notes that the solution provided in their textbook is incomplete, as the corresponding solution is missing from their copy.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the interpretation of the notation or the validity of the steps taken in the mathematical manipulation. Multiple competing views regarding the notation and its implications remain present.

Contextual Notes

There are limitations regarding the clarity of the notation used in the problem, as well as the completeness of the textbook resources available to participants. The discussion reflects uncertainty about the intended meaning of "xi" and its role in the equation.

rollcast
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I've been learning about imaginary numbers and while I understand the concept of them I have tried a few examples with them and I don't get some of the answers.

why can you not take

xi = 90i

and multiply it by i

x*i*i = 90*i*i
x*-1 = 90*-1
-x=-90
x=90

Thanks
AL
 
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rollcast said:
why can you not take

xi = 90i

and multiply it by i

x*i*i = 90*i*i
x*-1 = 90*-1
-x=-90
x=90

Thanks
AL

You can. All of your steps are valid. Why do you think you can't do this? (as a side note, you could simply just divide both sides by i)
 
The book gave xi = 90i as the answer to the problem?
 
Possibly we are interpreting your "xi = 90i" wrongly, because that is only an approximate "copy" of the notation in the book.

Can you scan the page or photograph it and attach the image, so we can see exactly what the book says?
 
AlephZero said:
Possibly we are interpreting your "xi = 90i" wrongly, because that is only an approximate "copy" of the notation in the book.

Can you scan the page or photograph it and attach the image, so we can see exactly what the book says?

Its only a typed additional section that our maths teacher gave us to add to our textbook as it didn't cover imaginary and complex numbers.

What I typed, xi = 90i, is exactly how it is displayed on the sheet?
 
rollcast said:
Its only a typed additional section that our maths teacher gave us to add to our textbook as it didn't cover imaginary and complex numbers.

What I typed, xi = 90i, is exactly how it is displayed on the sheet?

The answer would never be xi = ... where x is the value you were trying to find and i is the imaginary number. Either it's meant to be xi where i is subscripted or it's simply a typo.

Think about it, would the answer book ever intentionally say 2x = 10?
 
Mentallic said:
The answer would never be xi = ... where x is the value you were trying to find and i is the imaginary number. Either it's meant to be xi where i is subscripted or it's simply a typo.

Think about it, would the answer book ever intentionally say 2x = 10?

I just compared my book with a friends and the rest of the solution is on the back of the page but its blank on mine.
 
rollcast said:
I just compared my book with a friends and the rest of the solution is on the back of the page but its blank on mine.

Well, this is the homework help section, so if you need a solution to a problem you can go about it by asking us help on the parts of the problem you're unsure of.
 

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