(C) Given the equation $x + (1/x) = 2$.Multiplying both sides by $x$,we get $x^2 + 1 = 2x$,which simplifies to $x^2 - 2x + 1 = 0$.This is a perfect sq

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(C) Given the equation $x + (1/x) = 2$.Multiplying both sides by $x$,we get $x^2 + 1 = 2x$,which simplifies to $x^2 - 2x + 1 = 0$.This is a perfect square: $(x - 1)^2 = 0$,which implies $x = 1$.Now,substitute $x = 1$ into the expression $x^{21} + (1/x^{1331})$.$(1)^{21} + (1/(1)^{1331}) = 1 + (1/1) = 1 + 1 = 2$.Therefore,the value is $2$.

Competitive Quantitative Aptitude Number system Simplification

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If $x + (1/x) = 2$,then what is the value of $x^{21} + (1/x^{1331})$?

A
$0$
B
$1$
C
$2$
D
$4$

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If $x + (1/x) = 2$,then what is the value of $x^{21} + (1/x^{1331})$?

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What will come in the place of the question mark $(?)$ in the following expression?
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