If ` x + (1)/(x) = 2 ` , then `x^(100) - (1)/(x^(100)) = "______"`.

1.	If ` x + (1)/(x) = 2 ` , then `x^(100) - (1)/(x^(100)) = "______"`.
Answer» Correct Answer - A Given , `x + (1)/(x) = 2`. `x^(2) + 1 = 2x implies x^(2) - 2x + 1 = 0` `implies (x - 1)^(2) = 0` `implies x - 1 = 0` `implies x = 1` `implies x^(100) - (1)/(x^(100)) = 1 - 1 = 0` Hence , the correct option is (a) .

Discussion

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