If `x + (1)/(x) = 2` then `x^(2010) + x^(2009) = "_________"`.A. 4019B. 2C. 0D. 1

If `x + (1)/(x) = 2` then `x^(2010) + x^(2009) = "_________"`.A. 4019B

1.	If `x + (1)/(x) = 2` then `x^(2010) + x^(2009) = "_________"`.A. 4019B. 2C. 0D. 1
Answer» Correct Answer - B `x + (1)/(x) = 2` `implies (x^(2) + 1)/(x) = 2` `implies x^(2) - 2x + 1 = 0` `(x-1)^(2) = 0` `x - 1 = 0 implies x = 1 ` `therefore x^(2010) + x^(2009) = 1 + 1 = 2` Hence , the correct option is (b) .

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