Question

If a and b are the roots of the equation x2 - x + 1 = 0, then a2009 + b2009 is equal to

-2
2
-1
1

Answer 1

Answer:

The correct option is D.

Step-by-step explanation:

x2 - x + 1 = 0

x = 1/2 + √3/2i , 1/2 - √3/2i

a = eiπ/3 , b = e-iπ/3

Putting values of a and b:

= 2cos(669 + 2/3)π

Answer 2

Step-by-step explanation:

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