Need help Simplifying this Equation

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Homework Help Overview

The discussion revolves around simplifying an equation involving complex numbers, specifically in the context of Laplace transforms. The original poster seeks clarification on a transition between two forms of an expression.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the manipulation of expressions involving complex constants, questioning how certain transformations are achieved. There is a focus on understanding the implications of factoring out negative signs and the equivalence of different forms of the expressions.

Discussion Status

Some participants have provided insights into the algebraic manipulation involved, particularly regarding the factoring of negative signs. The conversation reflects a mix of confusion and clarification, with participants attempting to reconcile their understanding of the transformations presented.

Contextual Notes

There is mention of specific terms such as "s" being a complex argument and "i" as the imaginary unit, which may influence the interpretation of the problem. The original poster expresses concern about their understanding of the transitions between different forms of the equation.

JieXian
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Hi, I've already worked out the question until part (a) but I don't understand how they go from (a) to (b) right at the bottom of the image.

How did they change -s + i to s - i ?

[PLAIN]http://img64.imageshack.us/img64/9366/unledrze.png

Thank you very much for your help.
 
Last edited by a moderator:
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What is -(s - i) ?
 
SammyS said:
What is -(s - i) ?

Sorry to not have specified earlier.

s is a constant (complex argument s for Laplace transform) and i is the imaginary number.

Here's the solutions they provided. I though I should show you the bigger picture.

[PLAIN]http://img36.imageshack.us/img36/7600/captureir.jpg

Thank you.
 
Last edited by a moderator:
That was not the point! SammyS was trying to get you to see that they went from -s+i to s- i by factoring out a "-1": -(s- i)= -s+ i.
 
Ok thanks a lot hahahaha I feel so stupid.

Actually I was panicking about the (-s + i)^2 to (s - i)^2 change at the denominator. Now I've just worked it out to be equal...

Thanks a lot.
 

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