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#1 2008-08-07 03:38:35

Daniel123
Member
Registered: 2007-05-23
Posts: 663

Cube roots of unity

This textbook is irritating me. What am I doing wrong?

If w is real, then w = 1, which gives

If w is complex, then w³ = 1, which gives

The book says the answer is w².

Thanks.

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#2 2008-08-07 03:51:08

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

Re: Cube roots of unity

smile

Last edited by JaneFairfax (2008-08-07 05:25:14)

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#3 2008-08-07 03:52:37

Daniel123
Member
Registered: 2007-05-23
Posts: 663

Re: Cube roots of unity

Oops.... didn't notice that. But still, why hasn't the book mentioned '1' as an answer?

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#4 2008-08-07 03:53:48

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

Re: Cube roots of unity

1 is one of the values of

.

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#5 2008-08-07 04:00:46

Daniel123
Member
Registered: 2007-05-23
Posts: 663

Re: Cube roots of unity

Right, OK.

Trying to get back into maths after 4 weeks.

Thanks Jane.

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