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$$(x+1/x)^2=x^2+1/x^2+2×x×(1/x).$$
$$=x^2+1/x^2+2.$$
So,$$x^2+1/x^2+2=(2√3)^2=12.$$
or,$$x^2+1/x^2=10.$$
C is correct choice.
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