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   Author  Topic: x^2+x+1  (Read 402 times)
codpro880
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    codpro880
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x^2+x+1  
« on: May 7th, 2009, 12:12pm »
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If x^2+x+1=0, what is the value of (x^3+1/x^3)^3?
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Re: x^2+x+1  
« Reply #1 on: May 7th, 2009, 12:49pm »
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on May 7th, 2009, 12:12pm, codpro880 wrote:
If x^2+x+1=0, what is the value of (x^3+1/x^3)^3?

It's . . . eight . . because (x-1)(x2+x+1)=x3-1, so we have x3=1.
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codpro880
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Teachers strike, students hurt. English...

    codpro880
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Re: x^2+x+1  
« Reply #2 on: May 10th, 2009, 5:42pm »
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yep, that was a much more clever solution than what I did. I was dealing with imaginaries...silly me.
« Last Edit: May 24th, 2009, 8:15pm by codpro880 » IP Logged

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