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How to solve this equation?
February 13, 2022 at 11:07 am
Hey, guys!
So, in my Introduction to Robotics class, we are supposed to solve, as a part of solving an example, this equation (page 12):
1/s+1/(s+2)+1/(s+6-2i)+1/(s+6+2i)=1/(s+1)
Now, the very next step we are given goes like this:
3s^4+32s^3+106s^2+128s+80=0
I do not understand how they got from the first equation to the second one. Can somebody here explain me that?
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RE: How to solve this equation?
February 13, 2022 at 11:25 am
Again with the homework.
Boru
‘I can’t be having with this.’ - Esmeralda Weatherwax
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RE: How to solve this equation?
February 13, 2022 at 11:48 am
It would appear that FA doesn't have teachers or classmates.
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RE: How to solve this equation?
February 13, 2022 at 11:50 am
(This post was last modified: February 13, 2022 at 11:54 am by GrandizerII.)
https://pasteboard.co/OpS78RwMHcd4.png
https://pasteboard.co/TG8gsyJuDdwy.png
Easy algebra, as long as you know what to do with the i's.
In case this is new to you, i^2 = -1
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RE: How to solve this equation?
February 13, 2022 at 12:19 pm
(February 13, 2022 at 11:50 am)GrandizerII Wrote: https://pasteboard.co/OpS78RwMHcd4.png
https://pasteboard.co/TG8gsyJuDdwy.png
Easy algebra, as long as you know what to do with the i's.
In case this is new to you, i^2 = -1
Well, I do not know much about complicated numbers.
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RE: How to solve this equation?
February 13, 2022 at 12:21 pm
(February 13, 2022 at 12:19 pm)FlatAssembler Wrote: (February 13, 2022 at 11:50 am)GrandizerII Wrote: https://pasteboard.co/OpS78RwMHcd4.png
https://pasteboard.co/TG8gsyJuDdwy.png
Easy algebra, as long as you know what to do with the i's.
In case this is new to you, i^2 = -1
Well, I do not know much about complicated numbers.
That’s true. You don’t even know that they’re called ‘complex numbers.’
Boru
‘I can’t be having with this.’ - Esmeralda Weatherwax
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RE: How to solve this equation?
February 13, 2022 at 12:28 pm
(February 13, 2022 at 12:21 pm)BrianSoddingBoru4 Wrote: (February 13, 2022 at 12:19 pm)FlatAssembler Wrote: Well, I do not know much about complicated numbers.
That’s true. You don’t even know that they’re called ‘complex numbers.’
Boru
What's the difference?
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RE: How to solve this equation?
February 13, 2022 at 12:40 pm
(This post was last modified: February 13, 2022 at 12:42 pm by polymath257.)
(February 13, 2022 at 12:28 pm)FlatAssembler Wrote: (February 13, 2022 at 12:21 pm)BrianSoddingBoru4 Wrote: That’s true. You don’t even know that they’re called ‘complex numbers.’
Boru
What's the difference?
The correct term is 'complex numbers', just like the correct term for fractions is 'rational numbers'. You don't get to change to a different adjective even if it would be correct in ordinary language.
And, really, the only thing you need to know about complex numbers is that i^2 =-1. All the rest of algebra works the same (although order properties don't exist).
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RE: How to solve this equation?
February 13, 2022 at 12:56 pm
(This post was last modified: February 13, 2022 at 12:57 pm by Anomalocaris.)
(February 13, 2022 at 12:28 pm)FlatAssembler Wrote: (February 13, 2022 at 12:21 pm)BrianSoddingBoru4 Wrote: That’s true. You don’t even know that they’re called ‘complex numbers.’
Boru
What's the difference?
The difference lies in the imaginary.
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RE: How to solve this equation?
February 13, 2022 at 12:58 pm
(March 19, 1975 at 12:04 pm)polymath257 Wrote: And, really, the only thing you need to know about complex numbers is that i^2 =-1. All the rest of algebra works the same (although order properties don't exist).
Complex conjugates?
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