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## #1 2008-07-19 07:47:54

tony123
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### Without use of any calculator

Without use of any calculator, determine

Last edited by tony123 (2008-07-19 07:48:53)

## #2 2008-07-25 21:39:43

JaneFairfax
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### 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?

## #3 2008-07-25 21:58:11

tony123
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### Re: Without use of any calculator

but from where you get these

## #4 2008-07-25 23:25:33

JaneFairfax
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### Re: Without use of any calculator

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

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.

Last edited by JaneFairfax (2008-07-25 23:27:41)

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

## #5 2008-07-26 01:26:26

ZHero
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### Re: Without use of any calculator

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.

## #6 2008-07-26 18:19:53

John E. Franklin
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### Re: Without use of any calculator

Jane, I don't get where the cube is coming from in

Imagine for a moment that even an earthworm may possess a love of self and a love of others.

## #7 2008-07-26 18:26:04

ZHero
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### Re: Without use of any calculator

That's

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

## #8 2008-07-26 21:54:41

Identity
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### Re: Without use of any calculator

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