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#1 2008-07-18 09:47:54

tony123
Member
Registered: 2007-08-03
Posts: 189

Without use of any calculator

Without use of any calculator, determine

Last edited by tony123 (2008-07-18 09:48:53)

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#2 2008-07-24 23:39:43

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Without use of any calculator

,
, and
all satisfy the equation
. Try and play around with that.


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

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#3 2008-07-24 23:58:11

tony123
Member
Registered: 2007-08-03
Posts: 189

Re: Without use of any calculator

but from where you get these


JaneFairfax wrote:

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#4 2008-07-25 01:25:33

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Without use of any calculator

Never mind, forget what I wrote above. I was being naughty and used a calculator. tongue

But I got it now. Here’s how.

By considering the sum of the complex roots of

, you have

But

.

Now

Note that

. Hence

And

. And there you have it. Woohoo.gif

Last edited by JaneFairfax (2008-07-25 01:27:41)


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

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#5 2008-07-25 03:26:26

ZHero
Real Member
Registered: 2008-06-08
Posts: 1,889

Re: Without use of any calculator

up
Kya baat hai!!?
That's a nice smiley too by the way!


If two or more thoughts intersect with each other, then there has to be a point.

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#6 2008-07-25 20:19:53

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,582

Re: Without use of any calculator

Jane, I don't get where the cube is coming from in
your very last statement:


igloo myrtilles fourmis

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#7 2008-07-25 20:26:04

ZHero
Real Member
Registered: 2008-06-08
Posts: 1,889

Re: Without use of any calculator

That's


If two or more thoughts intersect with each other, then there has to be a point.

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#8 2008-07-25 23:54:41

Identity
Member
Registered: 2007-04-18
Posts: 934

Re: Without use of any calculator

Can't wait till I learn complex numbers, it looks so useful

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