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Mai Quốc Bình Hg

30/07/2017 at 14:55
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given that 

A = x2016 - 10x2015 + 10x2014 - 10x2013 +...+10x2 - 10x + 2026

evaluate A at x = 9

A=?




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  • ...
    Kayasari Ryuunosuke Coordinator 30/07/2017 at 15:38

    We got : 

    x = 9

    => x + 1 = 10

    We have :

    A = x2016 - 10.x2015 + 10.x2014 - 10.x2013 + ........ + 10x2 - 10x + 2026

    A = x2016 - (x + 1).x2015 + (x + 1).x2014 - (x + 1).x2013 + ........ + (x + 1).x2 - (x + 1)x + 2026

    A = x2016 - x2016 - x2015 + x2015 + x2014 - x2014 - x2013 + ......... + x3 + x2 - x2 - x + 2026

    A = -x + 2016

    A = -9 + 2026

    A = 2017

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