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Title: x^2+x+1 Post by codpro880 on May 7th, 2009, 12:12pm If x^2+x+1=0, what is the value of (x^3+1/x^3)^3? |
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Title: Re: x^2+x+1 Post by pex on May 7th, 2009, 12:49pm on 05/07/09 at 12:12:28, codpro880 wrote:
It's [hide]. . . eight . .[/hide] because [hide](x-1)(x2+x+1)=x3-1, so we have x3=1.[/hide] |
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Title: Re: x^2+x+1 Post by codpro880 on May 10th, 2009, 5:42pm yep, that was a much more clever solution than what I did. I was dealing with imaginaries...silly me. |
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