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If a and ß are the roots of the equation x 2 – x + 1 = 0, then a2009 + ß2009 =

If a and ß are the roots of the equation x 2 – x + 1 = 0, then a2009 + ß2009 =

Grade:12

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
the roots of given equation are \frac{1\pm i\sqrt{3}}{2}which can be represented as -w,-w2
hence -w2009+(-w)4018=1
Thanks and Regards
Shaik Aasif
askIITians Faculty

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