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#1 2013-02-07 15:30:23

cooljackiec
Member
Registered: 2012-12-13
Posts: 160

imaginary numbers

How many pairs of integers (b,c) satisfy the equation


I see you have graph paper.
You must be plotting something
lol

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#2 2013-02-07 20:09:46

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,383

Re: imaginary numbers

Hi;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2013-02-07 23:40:39

scientia
Member
Registered: 2009-11-13
Posts: 222

Re: imaginary numbers

So where are the imaginary numbers? eek

Last edited by scientia (2013-02-07 23:41:46)

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#4 2013-02-08 00:53:43

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,337

Re: imaginary numbers

hi scientia

Nice solution.  smile

So where are the imaginary numbers?

Perhaps you have to imagine them.  roflol

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#5 2013-02-08 01:27:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,383

Re: imaginary numbers

Hi ;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#6 2013-02-08 02:41:23

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: imaginary numbers

Hi bobbym

Those numbers you posted aren't imaginary either...


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#7 2013-02-08 02:46:51

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,383

Re: imaginary numbers

Why not? What did I do wrong?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#8 2013-02-08 02:59:00

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: imaginary numbers

Those are not imaginary numbers. They are complex!


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#9 2013-02-08 03:03:18

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,383

Re: imaginary numbers

Hmmmm, you got me. You are correct!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#10 2013-02-08 03:11:02

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: imaginary numbers

Yes, yes I did.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#11 2013-02-08 03:20:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,383

Re: imaginary numbers

Them there is fightin words where we all come from. - Gary Cooper


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#12 2013-02-08 11:52:33

cooljackiec
Member
Registered: 2012-12-13
Posts: 160

Re: imaginary numbers

Compute |5-12i|+|3-4i|.


I see you have graph paper.
You must be plotting something
lol

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#13 2013-02-08 15:07:39

cooljackiec
Member
Registered: 2012-12-13
Posts: 160

Re: imaginary numbers

a) Suppose we graph every point z  in the complex plane such that |z| = 4. What shape results?

b) What is the graph of the equation |z-2i| = 3


I see you have graph paper.
You must be plotting something
lol

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#14 2013-02-08 21:05:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,383

Re: imaginary numbers

Hi cooljackiec;

|5-12i|+|3-4i| = 13 + 5 = 18


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

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